Mathematics High School

I am studying geometry this summer but can’t solve this question what would be the correct answer

Answers

Answer 1

Answer: F

Step-by-step explanation:

Bisectors of an angle split the angle in half which you can visually see from the image. So, the answer is F.

Related Questions

The question is attached in the picture below. Pls help ASAP

Answers

Answer is x = 45
Reason
The square box indicates 90 degree angle so the remaining area (5x + x) is equal to 360-90= 270
So
5x + x = 270
6x = 270
Isolate x by dividing both sides by 6
X = 45

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Your temporary equation: }[/tex]

[tex]\mathsf{5x + x = \ ?}[/tex]

[tex]\huge\textbf{We know: }[/tex]

[tex]\large\textbf{That ONE angle equals 90}^\circ\large\textbf{ and the whole entire angle is}\\\large\textbf{360}^\circ.[/tex]

[tex]\huge\textbf{Knowing that much information, we can}\\\\\huge\textbf{make the equation much easier to solve.}\\\\\\\huge\textbf{We will simplify the angle sides and it}\\\\\huge\textbf{should give you the answer behind the}\\\\\huge\textbf{the equal sign.}[/tex]

[tex]\mathbf{360^\circ - 90^\circ = \boxed{\mathbf{the\ mystery\ number\ behind\ the\ equal\ sign}}}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{the\ mystery\ number\ behind\ the\ equal\ sign = \boxed{\bf 270}}}}[/tex]

[tex]\huge\textbf{New equation:}[/tex]

[tex]\mathbf{5x + x = 270^\circ}[/tex]

[tex]\huge\textbf{COMBINE the LIKE TERMS:}[/tex]

[tex]\mathbf{(5x + x) = 270^\circ}[/tex]

[tex]\mathbf{5x + x = 270^\circ}[/tex]

[tex]\huge\textbf{Remember a variable by itself is}\\\\\huge\textbf{understood as an invisible 1.}[/tex]

[tex]\huge\textbf{Anyway, back to answering the equation}[/tex]

[tex]\mathbf{5x + x}[/tex]

[tex]\mathbf{= 5x + 1x}[/tex]

[tex]\mathbf{= 6x}[/tex]

[tex]\huge\textbf{New equation:}[/tex]

[tex]\mathbf{6x = 270^\circ}[/tex]

[tex]\huge\textbf{DIVIDE 6 to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{6x}{6}=\dfrac{270}{6}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{x = \dfrac{270}{6}}[/tex]

[tex]\mathbf{x = 45}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathsf{x = 45}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which is the best estimate of StartRoot 47 EndRoot to the nearest tenth?
6.8
6.9
7.0
7.1

Answers

The closest value will be 6.9 since the value is close to 49

Square root of prime numbers

The square root of a number can both be negative or positive. According to the question, we are to determine the square root of 47

The square root of 47 must be between the square root of 36 and square root of 64

√36 = 6

√64 = 8

This shows that the answer must be between 6 and 8. Hence the closest value will be 6.9 since the value is close to 49

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Answer: 6.9

Step-by-step explanation: just did the test

Customers can pick blueberries for $1.75 per quart. How much would one dozen quarts of berries cost?

Answers

Multiply 12 times $1.75= $21.00
Have a nice day!

What are the solutions to the system of equations?
y = 2x² + 6x - 10
\ y =
y = -x + 5

Answers

Answer:

x= 1.5, y= 3.5

or x= -5, y= 10

Step-by-step explanation:

Let's solve by substitution.

Label the two equations:

y= 2x² +6x -10 -----(1)

y= -x +5 -----(2)

Substitute (2) into (1):

2x² +6x -10= -x +5

2x² +6x +x -10 -5= 0

Simplify:

2x² +7x -15= 0

Factorise:

(2x -3)(x +5)= 0

2x -3= 0 or x +5= 0

2x= 3 or x= -5

x= 1.5

Now that we have found the value of x, we can find the value of y through substitution.

Substitute into (2):

y= -1.5 +5 or y= -(-5) +5

y= 3.5 or y= 10

Supplementary:

Do check out the following should you wish to learn more about solving quadratic equations!

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The expression x-y equals 0.7 if x and y have certain values. Evaluate the following expression with the same values of x and y

5(x-y)

Answers

Answer:

3.5

Step-by-step explanation:

We already know that x-y equals to 0.7,so 5(x-y) would just be 5(0.7), with this the answer would equal to 3.5.

***I hope this helps and the explanation is helpful!***

3.5 answer

Step-by-step explanation:

5 x 0.7 = 3.5

which one these grids is shaded red and blue

Answers

The grid that is shaded red and blue in ratio 1 : 2 is grid (c)

How to determine the grid?

The complete question is in the image

The ratio is given as:

Red : Blue = 1 : 2

There are 12 squares in each grid.

This means that:

Red : Blue = 12 * 1/(1 + 2) : 12 * 2/(1 + 2)

Evaluate

Red : Blue = 4 : 8

The grid that has 4 red and 8 blue is (c)

Hence, the grid that is shaded red and blue in ratio 1 : 2 is grid (c)

Answers

Supplementary means that the angles add to 180* aka a straight line, so the answer is

Angle AOC.

Hope this helped :)

the area of a quadrilateral whose vertices is ABCD taken in order are (1,2) (-5,6) (7,-4) and (-2,t) be 0 ,find the value of t

Answers

coordinates : A(1,2) B(-5,6) C(7,-4) D(-2,t) - All are taken in order

gradient of AB = (6-2)/(-5-1) = 4/-6 = -⅔
since it is quadrilateral, AB//CD
gradient of CD = -⅔
equation of CD : y-(-4)=-⅔(x-7)
y+4=-⅔x+14/3
y=-⅔x+⅔
now, sub x=-2 from D(-2,t)
since t is the y-coordinate of point D
t=-⅔(-2)+⅔
t=2

Therefore, t=2

ASAP!!! Question 7 (Essay Worth 5 points)
(02.03)
Part A: Use ratio language to describe the relationship of any two things you can think of.

Example: For every 5 minutes of jogging, I ran 500 yards.

Be creative and come up with your own idea.

Part B: Determine the unit rate in your example.

this is what i have for part a: For every 1 student out of school, there are 10 students going to school

help me with part B pls I need to find the unit rate for my part a.

Answers

The unit rate for every 1 student out of school, there are 10 students going to school is 10 students going to school per 1 student out of school

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A unit rate is a ratio between two different units with a denominator of one.

If For every 1 student out of school, there are 10 students going to school, hence:

Unit rate = 10/1 = 10 students going to school per 1 student out of school

The unit rate for every 1 student out of school, there are 10 students going to school is 10 students going to school per 1 student out of school

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Alan bought 3 pencils and a notebook. The notebook cost $6, and he spent a total of $12. How much did each pencil cost? Use p to represent how much each pencil costs.

Answers

Answer:

Step-by-step explanation:

If the total is $12, and he spent $6 on a notebook, he has $6 left for his 3 pencils. If each pencil costs the same, he paid $2 for each pencil.

For the upcoming parade, Lauren needed to make her school's triangular flag into a larger, similar triangular flag. Using the information given, determine which (if any) similarity postulate she used in making her school's new flag. Pls help

Answers

The ratio of corresponding sides of the triangle are not in the same proportion, hence they are not similar.

What are similar triangles?

Two triangles are said to be similar if they have the same shape and angles. Also, the ratio of their corresponding sides are to be in the same proportion.

From the image shown, if the triangles are similar, hence:

AB / DE = AC / DF = BC / EF

Hence:

5.6 / 4 = 4.9 / 3.5 ≠ 2.4 / 1.5

1.4 = 1.4 ≠ 1.6

The ratio of corresponding sides of the triangle are not in the same proportion, hence they are not similar.

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Find the equivalent expression of 12.6 − (5.1 + 2.2).
12.6
5.1
5.3
2.2

Answers

Answer: 5.3

Step-by-step explanation:

[tex]12.6-(5.1+2.2)\\\\=12.6-7.3\\\\=5.3[/tex]

soybeans have a conversion factor of 36.744 (bu/t). how much do 45 bushels weight. Show your work pls

Answers

The weight of 45 bushels of soya beans is 1.2247 Tons

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The conversion factor of soyabeans is 36.744 (bu/t). Hence:

45 bushels = 45 bushels / 36.744 (bu/t) = 1.2247 Tons

The weight of 45 bushels of soya beans is 1.2247 Tons

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What is the equation in point-slope form for the line parallel to y=5x-4 that contains p(-6,1)

Answers

Answer:

[tex]\displaystyle{y-1=5(x+6)}[/tex]

Step-by-step explanation:

A point-slope form is written in the equation of [tex]\displaystyle{y-y_1=m(x-x_1)}[/tex]. Where [tex]\displaystyle{(x_1,y_1)}[/tex] is a coordinate point and [tex]\displaystyle{m}[/tex] is slope.

The definition of parallel is to both lines have same slope. The given line equation has slope of 5. Therefore, we can write the equation in point-slope form as:

[tex]\displaystyle{y-y_1=5(x-x_1)}[/tex]

Next, we are also given the point p(-6,1). Substitute [tex]\displaystyle{x_1}[/tex] = -6 and [tex]\displaystyle{y_1}[/tex] = 1 in:

[tex]\displaystyle{y-1=5[x-(-6)]}\\\\\displaystyle{y-1=5(x+6)}[/tex]

Hence, the line equation that’s parallel to y = 5x - 4 and passes through a point (-6,1) is y - 1 = 5(x + 6)

Answer:

y - 1 = 5 ( x + 6 )

Step-by-step explanation:

We know that when two lines are parallel the slope of both lines is equal.The formula that we use to find an equation of a line is y = m x + c

Here,

m ⇒ slope

Now let us take a look at the given equation which is already drawn.

y = 5x - 4 ← equation of the old line

Now it is clear to us that,

m ⇒ slope of the line ⇒ 5

c ⇒ y-intercept ⇒ -4

Therefore, the slope of the new line also will be 5.

That is, m = 5

The question asked us to write the equation in point-slope form.The formula to write the equation in the line in point-slope form is :

y - y₁ = m ( x - x₁ ).

Here,

m = slope

Also, we can use the given coordinates to write the equation in point-slope form

( -6 , 1 ) ⇔ ( x₁ , y₁ )

So, to find the equation of the new line we can replace m, y₁ & x₁ with 5, 1 & -6 respectively.

Let us solve this now

y - y₁ = m ( x - x₁ )

y - 1 = 5 ( x - ( -6) )

y - 1 = 5 ( x + 6 )

And now let us write the equation of the new line in point - slope form.

y - 1 = 5 ( x + 6 )

Please help!! What is the product of the 2x and...

Answers

Answer:

The answer is option c

Answer:

The answer is B.

Which function is represented by the graph?
The parent absolute value function is translated
3 units and
1 unit.
The function that is graphed is f(x) =
✓.

Answers

The function that is graphed is f(x) = |x - 3| + 1

How to determine the graphed function?

The parent absolute function is:

f(x) = |x|

From the graph, we have the following transformations:

3 units left1 unit up

This is represented as:

(x, y) = (x - 3, y + 1)

So, we have:

f(x) = |x - 3| + 1

Hence, the function that is graphed is f(x) = |x - 3| + 1

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What is this problem

Answers

The coordinate of the vertex is; (h, k) = (3, -5)

The final equation of the parabola is; y = 5(x - 3)² - 5

How to find the vertex of a Parabola?

The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.

The coordinate of the vertex is; (h, k) = (3, -5)

2) Since the general equation is;

y = a(x - h)² + k

We will have;

y = a(x - 3)² - 5

At x = 2, y = 0. Thus;

0 = a(2 - 3)² - 5

a - 5 = 0

a = 5

3) The final equation of the parabola is;

y = 5(x - 3)² - 5

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The sum of the measures of the angles of a triangle is 180°. The middle-sized angle measures 3° more than 2 times the smallest angle. The middle-sized angle measures 109° less than the largest angle. Find the measure of each angle.

Answers

Answer:

13° , 29° , 138°

Step-by-step explanation:

let x be the smallest angle , then

2x + 3 is the middle angle and

2x + 3 + 109 is the largest angle

summing the 3 angles and equating to 180

x + 2x + 3 + 2x + 3 + 109 = 180 , that is

5x + 115 = 180 ( subtract 115 from 180 )

5x = 65 ( divide both sides by 5

x = 13

2x + 3 = 2(13) + 3 = 26 + 3 = 29

2x + 3 + 109 = 29 + 109 = 138

the 3 angles are 13° , 29° , 138°

A man has 1 coins in his pocket, all of which are dimes and quarters. Aif the total value of his change is $2.75, how many dimes and how many quarters they are

Answers

Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: number of dimes in his pocket.Variable y: number of quarters in his pocket.

He has a total of 14 coins, hence:

x + y = 14 -> y = 14 - x.

They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:

0.1x + 0.25y = 2.75

Since y = 14 - x:

0.1x + 0.25(14 - x) = 2.75

x = (0.25*14 - 2.75)/0.15.

x = 5.

y = 14 - x = 14 - 5 = 9.

There are 5 dimes and 9 quarters in his pocket.

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HELP HELP HELP HELP
HELP HELP HELP HELP

PLSSSSS

Answers

Answer:

5 (rounded)

Step-by-step explanation:

by using the Pythagorean theorem you can calculate b

[tex]a^{2} + b^{2} = c^{2}[/tex]

here we have a and c

first lets times it by themselves

16 + b^2 = 36

now lets isolate b^2

b^2 = 36-16

= 20

now we have to get rid of the exponent ^2

b = 4.47....

rounding it would be 5!

Hope that helps :>

Area=
Stuck help me please thanks

Answers

Answer: 112

Step-by-step explanation:

area of the parallelogram is base times height

Find the tangent of angle Θ in the triangle below.
A. 4(sqroot)65/65
B. 9/5
C. 4/9
D. (sqroot)65/4
E. 9/4

Answers

Answer: [tex]\frac{\sqrt{65}}{4}[/tex]

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

[tex]\sqrt{9^{2}-4^{2}}=\sqrt{65}[/tex]

Therefore,

[tex]\tan \theta=\boxed{\frac{\sqrt{65}}{4}}[/tex]

−5(5x+3)−5x+1= -44
solve for X

Answers

Answer:

x=1

Step-by-step explanation:

Original Equation:

[tex]-5(5x+3)-5x+1= -44[/tex]

Distribute the -5

[tex]-25x-15-5x+1= -44[/tex]

Add like terms

[tex]-30x-14=-44[/tex]

Add 14 to both sides

[tex]-30x=-30[/tex]

Divide both sides by -30

[tex]x=1[/tex]

Answer:

x = 1

Step-by-step explanation:

-5(5x+3) - 5x + 1 = -44

(-5*5x -5*3) - 5x + 1 = -44

(-25x - 15) - 5x + 1 = -44

-25x - 5x - 15 + 1 = -44

-30x - 14 = -44

-30x = -44 + 14

-30x = -30

x = -30/-30

x = 1

Check:

-5(/5*1) + 3) - 5*1 + 1 = -44

-5(5+3) - 5 + 1 = -44

-5*8 - 5 + 1 = -44

-40 - 5 + 1 = -44

-45 + 1 = -44

Find 0,8,3 round the nearest degree

Answers

The measure of [tex]\theta[/tex] is 68 degrees

How to solve the angle?

The complete question is in the attached image

The value of [tex]\theta[/tex] is calculate using the following cosine function

[tex]\cos(\theta) = \frac 38[/tex]

Evaluate the quotient'

[tex]\cos(\theta) = 0.375[/tex]

Take the arc cos of both sides

[tex]\theta = \cos^{-1}(0.375)[/tex]

Evaluate the arc cos

[tex]\theta = 67.97[/tex]

Approximate to the nearest degree

[tex]\theta = 68[/tex]

Hence, the measure of [tex]\theta[/tex] is 68 degrees

Answers

Answer:

5. 68 degrees :)

6. 55 degrees :)

Step-by-step explanation:

A flat line is 180 degrees so we subtract to find x :)

Lets do that now :)

180 - 112 = 68

x = 68 degrees

X will be the same as 55 degrees.

All lines are tipped the same what so that is why it is 55 degrees :)

Have an amazing day!!

Please rate and mark brainliest!!

Every week Marcela deposits $45 in a bank account that she opened with an initial
deposit of $250, so that after n weeks her balance (in dollars) is 250 + 45n. Her
brother Ronnie withdraws $30 each week from his own bank account, which he
opened with an initial deposit of $145, so that after n weeks his balance is 145-
30n. Express the ratio of Marcela's balance to Ronnie's as a rational function, and
simplify

Answers

The simplified form of the ratio of Marcela's balance to Ronnie's is [tex]\frac{50 + 9n}{29 -6n}[/tex]

Simplifying an expression

From the question, we are to express the ratio of Marcela's balance to Ronnie's as a rational function

From the given information,

Marcela's balance = 250 + 45n

and

Ronnie's balance = 145 - 30n

Thus,

The ratio of Marcela's balance to Ronnie's is

[tex]\frac{250 + 45n}{145 -30n}[/tex]

Simplifying

[tex]\frac{250 + 45n}{145 -30n}[/tex]

[tex]\frac{5(50 + 9n)}{5(29 -6n)}[/tex]

[tex]= \frac{50 + 9n}{29 -6n}[/tex]

Hence, the simplified form of the ratio of Marcela's balance to Ronnie's is [tex]\frac{50 + 9n}{29 -6n}[/tex]

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What was the ratio of the number of goggles sold to the number of swimsuits sold?

Answers

Answer: Give me the full answer and i will be able to answer it

Step-by-step explanation:

A right triangle is shown. The height and length of the hypotenuse are unknown and the length other side is 5 feet. The other angles measure 60 and 30 degrees.

From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
Five-halves ft
StartFraction 5 StartRoot 3 EndRoot Over 3 EndFraction ft
5 StartRoot 3 EndRoot
10

Answers

The height of the mat off the ground is 5 / √3 feet

How to find side of right angle triangle?

The right angle triangle has an adjacent side of 5 feet.

The hypotenuse and height of the right triangle is unknown.

Therefore,

tan 30 = opposite/adjacent

tan 30 = h / 5

h = 5 tan 30

h = 5 × 0.57735026919

h = 2.88675134595

h = 2.89 feet

Therefore, it can be written in surd form as follows:

height = 5 × 1 / √3

height = 5 / √3

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Answer:

its B my good sir

Step-by-step explanation:

A basketball hoop is shown. Lisa is standing 10 feet from the basketball net. The basketball net is 8.5 feet high. Lisa apostrophe s line of vision is 5 feet off the ground. When she looks up to the net, a right triangle is formed.
Use the diagram and complete the steps to find the measure of the angle of depression from the top of the hoop to Lisa.

The length of the shortest leg of the right triangle that is formed is
feet.

The angle of depression from the hoop to Lisa is
to the angle of elevation from Lisa’s line of sight to the hoop.

Because the lengths of the opposite and adjacent sides are known, use the
function.

The angle of depression, rounded to the nearest degree, is approximately
degrees.

Answers

The length of the shortest leg of the right-angle triangle is 3.5 feet.The angle of depression is complementary to the angle of elevation.You should use the inverse tangent function because the lengths of the opposite and adjacent sides of the right-angle triangle are known.The angle of depression is approximately 19 degrees.

How to determine the parameters?

By critically observing the basketball hoop (see attachment), we can logically deduce that the basket's height from Lisa's horizontal sight is the same as the length of the shortest leg of the right-angle triangle:

Shortest leg = 8.5 - 5

Shortest leg = 3.5 feet.

In Geometry, the sum of all the angles in a triangle is equal to 180°:

x + y + z = 180

x + y + 90 = 180

x + y = 180 - 90

x + y = 90° (complementary angle).

Therefore, the angle of depression is complementary to the angle of elevation.

Also, you should use the inverse tangent function because the lengths of the opposite and adjacent sides of the right-angle triangle are known.

How to find the angle of depression?

Angle of depression = tan⁻¹(Opposite/Adjacent)

Angle of depression = tan⁻¹(3.5/10)

Angle of depression = 19.29° ≈ 19°.

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Answer:

3.5

congruent

inverse tangent

Step-by-step explanation:

In the following exercises, simplify each expression.
779. Convert 83,000,000 scientific notation.

Answers

Answer:

The answer would be 8.3*10^7.

Step-by-step explanation:

This is because the beginning factor in scientific notation (in this case it is 8.3) must be no less than one, and no more than ten. Once we figured that out, we simply count the number of decimal points from 3 to the final 0. Try it yourself. You will discover that the resulting answer is 7 decimal movements. Now, since we are using scientific notation, we will want to multiply by ten to the power of the number of decimal movements (in this case it is 7.) And that's all! The answer is 8.3*10^7. I hope this helped (:

Other Questions

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