Answer:
∠B = 82°
Step-by-step explanation:
(see attached for reference)
recall the property that an exterior angle of a triangle is equal to the sum of its two remote interior angles.
in our case, the exterior angle is obtuse ∠A = 143°
the two remote interior angles are ∠C and ∠B
hence according to our definition above:
143° = ∠C + ∠B (we are given that ∠C =61°)
hence
143° = 61° + ∠B
143° - 61° = ∠B
∠B = 82°
The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.
Answer:
k = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus the 2 points have a slope of - 3
calculate the slope using the slope formula and equate to - 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)
m = [tex]\frac{5+1}{k-4}[/tex] = [tex]\frac{6}{k-4}[/tex] = - 3 ( multiply both sides by (k - 4) )
- 3(k - 4) = 6 ( divide both sides by - 3 )
k - 4 = - 2 ( add 4 to both sides )
k = 2
does 4 time 9.99 give me 39.96?
Answer:
Yes
Step-by-step explanation:
Answer:
yes it does
Step-by-step explanation:
3 3
9.99
x 4
--------------
39.9 6
what is 1/2x1/2+1/3+9/1
Answer:
9.58333333333
Step-by-step explanation:
help please!!!
the volleyball boosters sell bags of popcorn during the varsity matches to raise money for new uniforms. each bag of popcorn costs $3
The sides of a triangle are (x + 3) cm, (2x - 1) cm, and (3x + 4) cm. What is the perimeter of the triangle? *
Answer:
Step-by-step explanation:
Perimeter is all sides added together...
X+3+2x-1+3x+4
Combine like terms
X+2x+3x.. 6x
3-1+4.. 2+4.. 6
Answer:
6x+6
5(-2n+6) = 70
Please Help me! This Is algebra
Answer:
the answe is -4
Step-by-step explanation:
first you distribute the five to the numbers in the paranthesis
5(-2n+6)
-10n+30=70.
than we subtract 30 from the 30 and 70
-10n=40
Next we divide by 10 to 40 and -10n
n=-4
the reason it negative is because if you divide a negative and a positive it always make a negative.
can someone please help me
Answer:
i think its 9, i dont exactly know
Step-by-step explanation:
8 + 4x = 2x + 8 + 2x
Answer:x=0
Step-by-step explanation:
Answer:
0 = 0
True
Step-by-step explanation:
[tex]8 + 4x = 2x + 8 + 2x[/tex]
Collect like terms
[tex]8-8 =2x+2x -4x\\[/tex]
Simplify
[tex]8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0[/tex]
Name the plane represented by the top of the box.
Answer:
BCD
Step-by-step explanation:
The top rectangle is ABCD because of its vertices. BCD is included in it.
The top plane represented by the BCD
What is plane?In geometry, a plane is a flat surface that extends into infinity. It is also known as a two-dimensional surface. A plane has zero thickness, zero curvature, infinite width, and infinite length. It is actually difficult to imagine a plane in real life; all the flat surfaces of a cube or cuboid, flat surface of paper are all real examples of a geometric plane. We can see an example of a plane in which the position of any given point on the plane is determined using an ordered pair of numbers or coordinates. The coordinates show the correct location of the points on the plane.
As, per the figure we can say that the upper plane is made of plane ABCD.
So, among all the option BCD will be correct because BCD is part of ABCD.
Learn more about plane here:
https://brainly.com/question/17465610
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A game at the state fair has a circular target with a radius of 10.7 cm on a square board measuring 30 cm on a side. Players win prizes if they throw a dart and hit the circular area only.
What is the probability of a player winning with one dart?
Answer:
The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square
Step-by-step explanation:
= π/9
what's the square root of 1/36?
The square root of the number is A = 1/6 = 0.16667
Given data ,
Let the first number be represented as p
where the value of p = 1/36
Now , the square root of the number is expressed as
A = √p
The radical form of a number refers to expressing a number using a radical symbol (√) to represent a root.
It is used to express the roots present in the number.
So , A = √( 1/36 )
On simplifying , we get
A = 1/6
On further simplification , we get
A = 0.166667
Hence , the square root is A = 1/6 = 0.16667
To learn more about radical form of numbers click :
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Solve each using mental math.
vertical translation
horizontal translation
reflection over the x-axis
reflection over the y-axis
Answer: vertical translation
Step-by-step explanation:
A function is even if:
f(x) = f(-x)
and a function is odd if:
f(-x) = -f(x).
Now, we want to find a translation that only affects the symmetry of an odd function (but not that one of the even function).
The correct answer will be a vertical translation, now let's prove it.
when we have a function f(x) and we want to transform it into g(x), such that g(x) is a vertical translation of (for example) A units up, we can write the relation as:
g(x) = f(x) + A.
Now, let's see if this preserves the symmetry of the original function.
1) if f(x) is even, then:
g(x) = f(x) + A
g(-x) = f(-x) + A
But we know that f(-x) = f(x)
then:
g(-x) = f(-x) + A = f(x) + A = g(x)
this means that g(x) is even, the symmetry of an even function is not affected by this transformation.
Now suppose that f(x) is odd.
Then:
g(x) = f(x) + A
g(-x) = f(-x) + A
and f(-x) = -f(x)
then:
g(-x) = f(-x) + A = -f(x) + A
and this is clearly different than g(x) = f(x) + A.
Then the odd symmetry is broken.
A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate. The table compares the wrestler's weight (in kilograms) and the time since he started his diet (in months). Time (months) Weight (kilograms) 1.5 85.8 3.0 93.6 4.5 101.4 What was the wrestler's weight before he went on his diet?
Answer: 78 kilograms
Step-by-step explanation:
Answer:
78 kg
Step-by-step explanation:
Khan academy
1. In 2000, Florida's population was 16 million. Since 2000, the state's population has grown about 2% each
year. How big will the population be in 2016?
Answer:
13620000
Step-by-step explanation:
2. Old folks Here is a stemplot of the percents of residents
aged 65 and older in the 50 states:
Key: 152 means 15.2% of
this state's residents are 65
or older.
7
8
9
10
11
12
13
14
15
16
0
8
8
019
16777
01122456778999
0001223344455689
023568
24
9
(a) Find the percentile for Colorado, where 10.1% of the
residents are aged 65 and older.
(b) Rhode Island is at the 80th percentile of the
distribution. Interpret this value. What percent of
Rhode Island's residents are aged 65 and older?
Answer:
34
Step-by-step explanation:
Mimi and Rita both plan to run for a spot on the school
board in their city. They must each collect a certain
number of signatures to get their name on the ballot. So
far, Mimi has 30 signatures, but Rita just started and
doesn't have any yet. Mimi is collecting signatures at an
average rate of 8 per hour, while Rita can get 14
signatures every hour. Assuming that their rate of
collection stays the same, eventually the two will have
collected the same number of signatures. How many
signatures will they both have?
Create two tables showing hours and signatures. Write,
graph, and solve a system of equations for this situation.
Explain what your solution means for the situation.
Answer:
The equal number of signatures Mimi and Rita eventually collects are 70 signatures
Step-by-step explanation:
1) The initial number of signatures Mimi has = 30 Signatures
The average rate at which Mimi can collect signatures = 8 signatures per hour
The average rate at which Rita can collect signatures = 14 signatures per hour
The table of values showing the number of signatures Mimi and Rita can have at a given hour is presented as follows;
For Mimi, we have;
Hour [tex]{}[/tex] Number of Signatures
0 [tex]{}[/tex] 30
1 [tex]{}[/tex] 38
2 [tex]{}[/tex] 46
3 [tex]{}[/tex] 54
4 [tex]{}[/tex] 62
5 [tex]{}[/tex] 70
For Rita, we have;
Hour [tex]{}[/tex] Number of Signatures
0 [tex]{}[/tex] 0
1 [tex]{}[/tex] 14
2 [tex]{}[/tex] 28
3 [tex]{}[/tex] 42
4 [tex]{}[/tex] 56
5 [tex]{}[/tex] 70
2) The equation representing the number of signatures Mimi has at a given time, t, is given as follows;
The number of signatures Mimi has = 30 + 8 × t
The equation representing the number of signatures Rita has at a given time, t, is given as follows;
The number of signatures Rita has = 14 × t
3) Please find attached the required graph of the number of signatures Mimi and Rita has
4) The solution if the system of equations is given as follows;
30 + 8 × t = 14 × t
From which we have;
30 = 14 × t - 8 × t = 6 × t
t = 30/6 = 5 Hours
By substituting t = 5 hours in the above equations, the equal number of signature of signatures Mimi and Rita can have is therefore;
30 + 8 × 5 = 70 signatures = (14 × 5) signatures
The equal number of signatures Mimi and Rita eventually collects are 70 signatures
5) The meaning of the solution is that is Mimi and Rita continue collecting signatures at their respective constant rate of 8 and 14 signatures per hour, given that Mimi already has 30 signatures, they will have the same number of 70 signatures after 5 hours
2. Which of the follow is equivalent to the quantity below? *
(1 Point)
2-1
3
1
2
Need help!!!!!!!!!!!!!
___Another word for a fraction. pick one of these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio
Which Expression is Equivalent to the given expression? (4m^2n)^2/2m^5n
Answer:
D. [tex] 8 {m}^{ - 1} n[/tex]
Step-by-step explanation:
[tex] \huge \frac{(4 {m}^{2} n)^{2} }{2 {m}^{5}n } \\ \\ \huge= \frac{16 {m}^{4} {n}^{2} }{2 {m}^{5}n } \\ \\ \huge = 8 {m}^{4 - 5} {n}^{2 - 1} \\ \\ \huge \purple{ \boxed{= 8 {m}^{ - 1} n}}[/tex]
Answer:
8m^-1n
Step-by-step explanation:
Their are 35 green marbles out of 60 marbles in the bag what is the ratio of the green marbles to total marbles?
Answer:
7:12
Step-by-step explanation:
I hope it helps. Hope its correct
HELP FAST
DARIA
3(x – 17) < 9(1 – 3x)
Is 2 a solution to Daria's inequality?
O Yes
O No
Answer:
yes
Step-by-step explanation:
no
Answer:
eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation:
PLEASE ANSWER: find the slope of the line through each pair of points. (1,6) and (8,-1)
Answer: -1
Step-by-step explanation:
To find the slope fo the line with the given points, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1[/tex]
Now, we know that the slope is -1.
Solve the compound inequality. −5x≤−10 or 7x−21≥14
-5x ≤ -10
Divide both sides by -5
x ≥ 2
7x - 21 ≥ 14
Add 21 to both sides
7x ≥ 35
Divide both sides by 7
x ≥ 5
0.5444 as a fraction
1361/2500 or 54.44%.
Answer:
49/90
Step-by-step explanation:
x=0.5444....
10x=5.4444....
1x=0.5444....
9x=4.9
x=4.9/9
x=49/90
hope it might help you
Solve for w: -4u-w = u+6w
Answer:
w = -(5 u)/7
Step-by-step explanation:
Solve for w:
-w - 4 u = 6 w + u
Hint: | Isolate w to the left-hand side.
Subtract 6 w - 4 u from both sides:
-7 w = 5 u
Hint: | Solve for w.
Divide both sides by -7:
Answer: w = -(5 u)/7
From The Graph Below Determine the total percentage found of each substance expect hydrogen and helium
Answer:
80%
Step-by-step explanation:
Since we're excluding hydrogen and helium, we are looking for the % of nitrogen and oxygen.
From the graph, we can see that we found 75% oxygen (blue).
We can also see that of nitrogen, green, we found 5%.
We simply need to add these two together.
75% + 5% = 80%
Answer: 80%
The sum of the roots of the quadratic 5x^2 - 6x + 1 = 0 is
Answer:
here's your answer
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Identify the scale factor.
Wingspan of airplane: 102 ft
Wingspan of model airplane: 6 ft
The scale factor is
Answer:
the scale factor is 17ft : 1ft
for every 17 feet on the original, there is 1 foot on the model.
Help!!!!!!!!!!!!!! Box one and box 2