Find the measure of each marked angle.

Find The Measure Of Each Marked Angle.

Answers

Answer 1

Answer:

X= 15, m∠78°

Step-by-step explanation:

Since the angles are vertically opposite

Therefore their measurements are equal

Therefore (2x + 48 ) = (5x + 3 )

So,

[tex](2x + 48) = (5x + 3)\\(2x-5x)= (3-48)\\-3x = -45\\x = -45/-3\\x = 15[/tex]

[tex](2x + 48)\\=( 2* 15 + 48)\\= 30 + 48\\=78\\\\(5x + 3)\\=(5*15 + 3)\\=75+3\\=78[/tex]

They both equal 78°


Related Questions

Fill in the missing number. % of 60 = 24

Answers

Answer:

40%

Step-by-step explanation:

Step 1: Set up an equation.

[tex]\frac{x}{100}(60)=24[/tex]

Step 2: Simplify both sides of the equation.

[tex]\frac{x}{100}(60)=24[/tex] [tex]\frac{60}{100}x= 24[/tex] [tex]\frac{3}{5}x=24[/tex]

Step 3: Multiply both sides by 5/3.

[tex]\frac{3}{5}x* \frac{5}{3}=24 * \frac{5}{3}[/tex] [tex]x = \frac{120}{3}[/tex] [tex]x = 40[/tex]

Therefore, the missing number is 40 to make 40% of 60 = 24.

2. Select all transformations that must take any point A to any point B.

A. Rotation of 180° around A

B. Rotation of 180°around B

C. Rotation of 180° around the midpoint of segment AB

D. Reflection across the line AB

E. Reflection across the perependicular bisector of segment AB

F. Translation by the directed line segment AB

G. Translation by the directed line segment BA

Answers

The given transformation of reflection, rotation and translation are rigid transformation

The transformation that must take any point A to any point B are;

Rotation of 180° around the midpoint of segment ABReflection across the perpendicular bisectorTranslation by the directed line segment AB

Reason:

Question: The given quadrilaterals ABCD and A'B'C'D' are congruent

Required; To select all transformation that must take a point A to point B

Solution:  

Rotation of 180° around the midpoint of segment AB

A rotation of 180° about the midpoint of segment AB will change the places of points A and B

A(x, y) → R₁₈₀ → A'(-x, -y)

Let the coordinates of the origin be the midpoint of segment AB, and let (x, y) represent the coordinate of the point B(x, 0) we have;

∴ The coordinates of point A is A(-x, 0), which gives;

A(-x, 0) → R₁₈₀ → A'(x, 0) = point B

Therefore a rotation about the midpoint of AB must take point A to point B

Reflection across the perpendicular bisector

The reflection of a point (x, y) about y-axis gives a point (-x, y), therefore, we have;

A(-x, 0) → Reflection across the y-axis → A'(x, 0) = point B

Therefore, a reflection across the perpendicular bisector of the line AB must take the point A to point B

Translation by the directed line segment AB

A translation along the directed line segment AB of point A(-x, 0) 2·x units right gives;

A'(-x + 2·x, 0) = A'(x, 0) = Point B

Therefore, the transformations that must take any point A to any point B are;

Rotation of 180° around the midpoint of segment AB

Reflection across the perpendicular bisector

Translation by the directed line segment AB

Learn more here:

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What is the slope of the line?
10
15
20
25

Answers

Answer:

Step-by-step explanation:

(10, 15), (20, 25)

(25 - 15)/(20 - 10) = 10/10 = 1

m = 1

A mustard seed has a mass of about 0.002 gram. A glass jar contains about 4.3602 x 10^4 A B C or D

Answers

Answer:

(2 x 10 ^-3) x (4 x 10 ^4)=8 x 10 ^1

Step-by-step explanation:

The mass of a single seed can be written as 0.002 = [tex]2*10^{-3}[/tex]

There are total of 4.3602 * 10 ⁴seeds in the jar

Total mass is the multiplication of these both numbers.

Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.

The rule to multiply two numbers in scientific notation is:

[tex](a*10^{b} )*(c*10^{d} )=(a*c)*10^{b+d}[/tex]

So using this formula we multiply the 2 numbers and get answer as follows:

[tex](a*10^{b} )*(c*10^{d} )=(a*c)*10^{b+d} \\(2*10^{-3} )*(4*10^{4} )=(2*4)*10^{-3+4} \\=8*10^{1}[/tex]

A line has a slope of 1/2 and contains the points (3, y) and (5,7). The value of y is.

Answers

Answer:

The value is 6

Step-by-step explanation:

Since the slope is 1/2, you can plot the coordinates 5,7.

5=x axis

7=y axis

After that you can use the formula rise/run = 1/2

Then you plot 3 on the graph. Then you use formula rise over run,

then you get 6

THE VALUE IS 6 5= axis

1 .(+2)+(+8) 8. (4)-(4)

2. (+4)+(+8)

3. (1)+(+10)

4. (+11)+(11)

5. 0+(+9)

6. (+5)-(+10)

7. (12)-(+7)

Answers

101211229+5+50Mark as brainlist please

Hello there! GraceRosalia is here to help! :)

(+2)=2

2+8=10

4-4=0

4+8=12

1+10=11

0+9=9

5-1-5

12-7=5

hope it helps

Use mental math to find the missing factor.



33
,
000
÷

=
110
33
,
000
÷

=
110
A.
30

B.
300

C.
330

D.
3,000

Answers

B. is the answer just x

Answer:

thanks for telling me the answer

Step-by-step explanation:

have a bless day :)

can someone please help me with this

Answers

Answer: 4?

Step-by-step explanation: 12 inches length times the 4 inches width = 48 square inches. but then you have to subtract the (22 times 2 = 44)

48-44=4???

I know the answer. It is 4. Division add and ya.

Find UV. This is Geometry. Help

Answers

Solve for x, like I did, then plug it in the equation for UV.

So,

(2x12) - 22 = UV

24-22 = UV

UV = 2

A Baker's recipe uses for cups of water for every 9 cups of flour. Which ratio of cups of water to cups of flour will make the same recipe?

Answers

Answer:

It would be 4 to 9 or 4/9!

Step-by-step explanation:

(7, 4), (5, - 1), (3, - 8), (1, - 5), (3, 6)

Determine whether the relation is a function. Explain pls

Answers

Answer:

The given relation is not a function.

Step-by-step explanation:

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

Given the following relation: {(7, 4), (5, - 1), (3, - 8), (1, - 5), (3, 6)}

There is an input value (x = 3) that has two corresponding outputs (y-values): y = -8 and y = 6.  

Remember that a function can only take on one output for each input.

It also helps to do the Vertical Line Test, which allows us to know whether or not a graph is actually a function.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.  To use the vertical-line test, imagine dragging a ruler held vertically across the  graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value.

Attached is a screenshot of the plotted points on a graph, where I performed the Vertical Line Test. The green line is the vertical line that contains two points that made the relation invalid as a function.

Please mark my answers as the Brainliest if you find my explanation helpful :)

Please help me with this homework

Answers

Answer:

uh, prolly parallel. mb if it's not

Answer:

Parallel

Step-by-step explanation:

solve the quadratic by completing the square x^2-10+18=0

Answers

Answer:

Data set: 47, 45, 44, 41, 48

1. Find the mean.

Mean = 47 + 45 + 44 + 41 + 48

5

= 225

5

= 45

2. Find each absolute deviation.

Absolute deviations: 2, 0, 1, 4, 3

What is the mean absolute deviation (MAD) for the data set?

MAD =

Step-by-step explanation:because thats it because yea

Please help! Simplify and know whether these examples are equal. Picture above. ​

Answers

Answer: -9/4

Step-by-step explanation:

https://www.symbolab.com/solver/equation-calculator/%5Cfrac%7B%5Cfrac%7B%5Cfrac%7B3%7D%7B5%7D%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%7B-%5Cfrac%7B4%7D%7B5%7D%7D?or=input

Given any right triangle, the sum of the areas of the squares formed by the legs is equal to the area of the hypotenuse. This is referred to as the:

Question 5 options:

A) pythagorean theorem
B) perimeter
C) surface area
D) area

Answers

Answer: A) pythagorean theorem

Explanation:

You are probably familiar with the formula [tex]a^2+b^2 = c^2[/tex] which is the pythagorean theorem.

The [tex]a^2[/tex] is the square of the first leg 'a', while [tex]b^2[/tex] is the square of the second leg b. Adding those two squares leads to the square of the hypotenuse c, aka [tex]c^2[/tex]. This only works with right triangles, which are triangles that have a 90 degree angle.

x + 3 + x - 8 + x = 55
x = ?

Answers

Answer:

x=30

Step-by-step explanation:

isolate the numbers that don't contain the variable, then divide the factors that don't contain the variable.

Answer:

x=20

Step-by-step explanation:

Given: x+3+x-8+x=55

Combine like terms: 3x-5=55

Add 5 to the other side: 3x=60

Divide both sides by 3: X=20

Please please help
Provide the missing statement and reasons for the following proof:

Given: 9(x−6)+41=75Prove: x=889
Given:


9
(
x
-
6
)
+
41
=
75
Prove:


x
=
88
9

Answers

Answer:

Reason 1 ) Subtraction Property of Equality

Reason 2 ) Substitution Property of Equality

Statement 3 ) 9x - 54 = 34

Reason 4 )  Addition Property of Equality

Reason 5 )  Division Property of Equality

Step-by-step explanation:

Let's me know if it wrong.

The missing statement and reason for the proof that the solution of 9(x  -  6)  +  41   =  75 is x = 88/9 are:

S3:  9x  -  54  =  34

R1:  Given

R2: Subtraction property of equality

R3: Distributive property

R4: Subtraction property of equality

R5: Division property of equality

The given equation is:

Statement1:   9(x  -  6)  +  41   =  75

Reason 1:  Given

Collect like terms

9(x - 6) =  75  -  41

Statement 2:  9(x  -  6)   =  34

Reason 2:  Subtraction property of equality

Expand the equation using distributive rule

Statement 3: 9x  -  54  =  34

Reason 3: Distributive property

Collect like terms in the equation 9x - 54  =  34

9x  =  34  +  54

Statement 4:  9x  =  88

Reason 4: Subtraction property of equality

Divide both sides by 9 in the equation 9x  = 88

Statement 5:  x  =  88/9

Reason 5: Division property of equality

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How do you write 0.27777777777777..... as a whole number

Answers

Answer:

i think 27777777777777/100000000000000

Step-by-step explanation:

Answer:

Convert it to a whole number

Step-by-step explanation:

by multiplying it with 1000000000000

=2.78 x 10 ^ -15

why am i so stressed can someone answer me

Answers

These Are some reasons why are you stressed :

Mental health conditions, such as depression, or a building sense of frustration, injustice, and anxiety.

Answer:

Its highschool its stressful

Step-by-step explanation:

what is the answer to (-15)− (2)x(-10+(+3)?

Answers

Answer:

-1

Step-by-step explanation:

-15-2(-7)

-15+2·7

-15+14

-1

2/9 divided by 5/12

simplest form
the answer is a fraction

Answers

answer: 8/15 :
2/9 times 12/5 = 24/45
simplify that you get 8/15

The solution in form of fraction is,

⇒ 8 / 15

We have to given that,

An expression to solve,

⇒ 2/9 divided by 5/12

Now, We can divide the numbers into form of fraction as,

⇒ 2/9 ÷ 5/12

⇒ 2/9 × 12/5

⇒ 24 / 45

⇒ 8 / 15

Therefore, The solution in form of fraction is,

⇒ 8 / 15

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

[tex]\left(\sqrt{2}+1\right)\left(5+\sqrt{2}\right)[/tex]

Answers

Solution:

[tex]( \sqrt{2} + 1)(5 + \sqrt{2}) \\ = \sqrt{2} (5 + \sqrt{2} ) + 1(5 + \sqrt{2} ) \\ = 5 \sqrt{2} + 2 + 5 + \sqrt{2} \\ = 7 + 6 \sqrt{2} [/tex]

Answer:

7 + 6√2

Answer:

[tex]\huge\boxed{\sf 7 + 6\sqrt{2}}[/tex]

Step-by-step explanation:

[tex](\sqrt{2} +1)(5+\sqrt{2} )\\\\= \sqrt{2} (5+\sqrt{2} )+1(5+\sqrt{2} )\\\\= 5\sqrt{2} + (\sqrt{2})^2+5+\sqrt{2} \\\\= 5\sqrt{2} + 2 + 5 + \sqrt{2} \\\\= 2+5+\sqrt{2} + 5\sqrt{2} \\\\= 7 + \sqrt{2} (1+5)\\\\= 7 + 6\sqrt{2} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters.What number of actual meters are represented by 18 centimeters on the blue print?

Answers

Answer:

1.4 centermeters

Step-by-step explanation:

if 2 centermeters is equal to 10 meters then divide 2 into 10 and come out to .5 so answer to 18 centermeters is 1.4

I dunno how to do this

Answers

Answer:

2z-4

Step-by-step explanation:

Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!

Answer:

2 − 4 Is the correct answer

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

If x = 4 and y = 7, evaluate the - following expression: 20 +2(3y - 4x)​

Answers

Answer:

30

Step-by-step explanation:

20+2(3*7 - 4*4)

20+2(21-16)

20+2*5

20+10

30

refers to an endless number of terms that follows a sequence and end with ellipsis

Answers

Infinite sequence

I hope it helps

the length of a side of a rectangle is 6 cm. what should the length of the other side be so that the perimeter of the rectangle is smaller than the perimeter of a square with a side of 4cm?

Answers

Answer:

1cm

Step-by-step explanation:

A square with a side of 4cm will have a perimeter of 16cm (4+4+4+4).

If you put 2 on the other side of the rectangle, the perimeter will be: 6+1+6+1=14cm, which is smaller than the square's perimeter.

What is the answer to 18-6×=162 when
worked out?

Answers

Do you mean 18-6x162 If you do the answer is -892

Answer:

If you mean 18-6x=162

18-6x=162

-6x=162-18

-6x=144

divide both sides by -6

x=-24

If MacCallum drives 325 miles in 5 hours, how far does he drive in 1 hour?

Answers

Answer:

65 miles in one hour

Step-by-step explanation:

MacCallum drove 325 miles in 5 hours so if you divide the amount of miles( 325) by the amount of hours to get to one, 5/5, you get 325/5=65/hour

Find the slope of the line formed by connecting the points:
(-5, 4) and (5,1).

Answers

Answer:

The formula you will want to use is y(2) - y(1) over x(2) over x(1).

Basically, the Y variables (4 and 1) will be subtracted from each other. Aka, 1-4, which is -3. You put that over 5-(-5) or (5+5) which is 10. Now you have -3/10.

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