Answers
Similar figures are two or more given figures that have some common properties. The answers to the questions are;
14. m<WYZ = [tex]157^{o}[/tex]
15. m<ACB = [tex]87^{o}[/tex]
Two or more figures are said to be similar if they have some common properties. Note that similar figures may not be congruent.
Thus, the solutions to the questions can be determined as follows:
14. Comparing WYZ and VXYZ, we can deduce that:
<WYZ + <YVX = [tex]180^{o}[/tex] (sum of angles on a straight line))
So that;
(16x - 3) + (3x - 7) = [tex]180^{o}[/tex]
19x - 10 = [tex]180^{o}[/tex]
19x = [tex]190^{o}[/tex]
x = [tex]\frac{190}{19}[/tex]
= [tex]10^{o}[/tex]
Then,
m<WYZ = (16x - 3) = (16(10) -3)
= [tex]157^{o}[/tex]
The measure of angle WYZ is [tex]157^{o}[/tex].
15. (11x - 2) = (6x + 13) (similarity property)
11x - 6x = 13 + 2
5x = 15
x = 3
So that;
m<ABC = (6x + 13) = (6(3) + 13)
= [tex]31^{o}[/tex]
m<ABC = [tex]31^{o}[/tex]
But,
m<BAC + m<ABC + m<ACB = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]62^{o}[/tex] + [tex]31^{o}[/tex] + m<ACB = [tex]180^{o}[/tex]
m<ACB = [tex]180^{o}[/tex] - 93
= [tex]87^{o}[/tex]
m<ACB = [tex]87^{o}[/tex]
The measure of angle ACB is [tex]87^{o}[/tex].
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Related Questions
With the following cards, {blue, green, yellow, blue, red, pink} LaTrice created a sample space. From her chart what is the probability of NOT drawing a red card at all?
Answers
The probability of her NOT drawing a red card are very likely
How to turn improper fractions into mixed numbers.
Answers
Answer:
To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion
Step-by-step explanation:
Convert 23/4 into a mixed fraction
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Answer:
quantitative manipulation of the independent variable
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Answers
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Divide $80 among three people so that the second will have twice as much as
the first, and the third will have $5 less than the second. Using an algebraic
equation, find the amount that each will get.
Answers
Answer: 19,38, and 33.
Step-by-step explanation:
80=2x+x+2x-5=5x=95=x=19
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.
f(x) = 1 over 4x + 4
f(x) = − 1 over 10x + 4
f(x) = 1 over 10x + 10
f(x) = − 1 over 4x + 10
-------------------------------------------
I thought it was c but I was wrong. Could anybody help?
Answers
Answer:
I think it might be d because it is the only one with 4x and 10
Give me some tips for the Shsat that is tomorrow.
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Answer:
1. Sleep well
2. Eat a proper meal to increase your energy
3. Do the ones you are good at first. Skip the harder questions
4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.
5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.
6. Have faith in yourself. :)
Step-by-step explanation:
Solve the literal equation for x.
k= nx - 3x
Answers
answer:X=k/n-3
explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!
I hope this helps
k/(n-3)=x
there ya gooooo
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9.5
10
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10.6
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Step-by-step explanation:
i know
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Answers
Answer:
y+3 = 1/2 (x-4)
Step-by-step explanation:
We can write the equation in point slope form
y-y1 = m(x-x1)
The slope is m and the point is (x1,y1)
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Answers
Answer:
1/3
Step-by-step explanation:
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Answer:
The answer would be 0.05
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Step-by-step explanation:
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Answer:
one side is 16, the other is 8[tex]\sqrt{3}[/tex]
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30-60-90 angle triangle always give the following sides
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Answers
= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km
Answer:They walked 4 1/3 Km altogether.
Hope it helps.
Do comment if you have any query.
Emma but two identical bottles of shampoo. She uses 3/8 of one of them at home, and uses 7/10 of all of the remaining while she’s on Hollidays. In total, how much shampoo remains?
Answers
Answer:
37/40
Step-by-step explanation:
3/8 7/10
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Answer:
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Answer:
B
Step-by-step explanation:
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Answer:
pretty sure it's c
Step-by-step explanation:
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Answers
Answer:
c=23/24
Step-by-step explanation:
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c+3/8=4/3
c+9/24=32/24
c=32/24-9/24
=23/24
You are currently paying rent every year for your restaurant. You still have a contract that will last 2 more years. Starting today, your rent will increase every year by 3.5%.
Think of the amount of rent you are paying right now. Then, determine how much rent you will be paying after 2 years.
Imagine that after two years you will have the opportunity to change rent contracts.
Show a situation in which it would be beneficial and one situation in which it would not be beneficial to change contracts.
Answers
The amount to be paid in rent after 2 years if the rent as of now is $3,000 will be; $3,213.675
The question allows that we choose the amount being paid as rent as of now.
Let the rent paid as of now be; $3,000
In essence; after the first year; the amount increases by 3.5% to become;
1.035 × $3,000= $3,105.After the second year; we have;
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When given the opportunity to change rent contracts;
A situation that will be beneficial would be a 3.5% reduction in rent per year A situation that will not be beneficial would be a 7% increase in rent per year.Read more;
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Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.
Answers
Answer:
(m-7) * 6
Step-by-step explanation:
you follow the statement from left to right. You see that there's a product so you write a product sign
*
then you know its the difference of m-7 on one side and 6 on the other getting
(m-7) * 6
Question 3
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
There are 20 marbles in a bag: 8 purple, 5 gold, and 7 silver.
Part A: What is the probability that you select a silver marble? Reduce fractions if possible.
O
A) 20
O B)
O
c)
O D) 70
Answers
home within our geographic footprint.
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Step-by-step explanation:
the total is 8+5+7=20
the probabliliy that its gonna be 7/20
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Gina wants to make muffins. The recipe for blueberry muffins calls for 2 3/4 cups of flour. The recipe for cornmeal muffins calls for 1 2/3 cups of flour. How many more cups of flour would Gina need for blueberry muffins than corn muffins?
Answers
Answer:
1 1/12
Step-by-step explanation:
You take 2 3/4 and subtract it by 1 2/3
Make them into improper fractions 11/4 - 5/3
you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator
you get 33/12 - 20/12 and get 13/12
then make it a mixed number
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Please I help I'll brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
c^2 = a^2 + b^2
a = 4
b = ?
c = 8
8^2 = 4^2 + b^2
64 = 16 + b^2
48 = b^2
b = sqrt(48)
b = 4√3
Calculate how many guesses in binary search algorithm.
Answers
Answer:
In the case of a decimal number, we round down to find the actual number of guesses. Therefore, for a 1000-element array, binary search would require at most 10 guesses. (which is 2,097,152), so we would need at most 22 guesses.
Step-by-step explanation:
Is this a function? Easy points
Answers
For thanks giving
Boil the pasta, drain.
Make the cheese sauce by combining a fat (butter), and starch (flour), then whisking in the milk products.
Cook the sauce until it’s nice and thick.
Add in shredded cheeses, stir well.
Combine cheese sauce with cooked pasta.
Transfer half of the mac and cheese to a baking dish, sprinkle with more shredded cheese.
Top with the rest of the mac and cheese, top with more shredded cheese.
Bake and prepare to thoroughly enjoy
Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and the school?
Answers
:)))) NO NEED SOLUTION.
f – 4 ≤ 9 for f. solve for the
Answers
Answer:
f>36
Step-by-step explanation:
9
<
f
4
Multiply both sides by
4
.
9
⋅
4
<
f
4
⋅
4
Simplify.
Tap for more steps...
36
<
f
Rewrite so
f
is on the left side of the inequality.
f
>
36
The result can be shown in multiple forms.
Inequality Form:
f
>
36
Interval Notation:
(
36
,
∞
)
Answer:
f={∞,13)
Step-by-step explanation:
f - 4 ≤ 9
f - 4-9 ≤ 0
f-13 ≤0
f=13
13- 4 ≤ 9
9 ≤ 9 √(f>13) f-4 ≤9
Find a number less than 13
f=12
12-4 ≤9
8≤9 √(f<13) f-4 ≤9
Find a number greater than 13
14
14-4 ≤9
10 ≤9 ×Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?
Answers
Answer:
The next day they will both run on the path is July 27th.
We can find this by making columns writing every date and seeing when they intersect.
4 5
8 10
12 15
16 20
20
We can then add this to the current date to find the date they will next run together.
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
5^-15 rewritten using a positive exponent.
Answers
Answer: 1/5 to the power of 15
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Answers
Answer:
first one
Step-by-step explanation:
lemme know if im right
Answer:
first one I think is right
