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emmainna [20.7K]
3 years ago
14

Find the value of x and y

Mathematics
1 answer:
algol133 years ago
8 0
What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:

(14x+4)+(16x-4)=180

After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
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The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is paral
Vikki [24]

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.

<h3>What are vertical angles?</h3>

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.

Hence, the correct option is A.

Learn more about Vertical Angles:

brainly.com/question/24460838

#SPJ1

6 0
2 years ago
Using benchmarks, what is the approximate value of each?
Effectus [21]
For a 7*7=49 so sqrt(49)=7
6*6=36 so sqrt(36)=6

and since sqrt(x) is am increasing function then
6 < sqrt(42) <7

you do the same for b but with 4 values :
like 4*4*4= 64
and 3*3*3=27
3 0
3 years ago
Can you convert the stander linear equation 5x-3y=15 into slope intercept form?
liraira [26]

Answer: y = (5/3)x - 5

Step-by-step explanation:

5x-3y=15

-3y = -5x + 15

y = (5/3)x - 5

5 0
2 years ago
Read 2 more answers
.help me please thanks
anzhelika [568]
Hello!

What you would need to do first is distribute the numbers inside the parenthesis.

6(t - 3) = 2(9 - 2t)
6t - 18 = 18 - 4t

Now that they've been distributed, you need to move all variables to one side, preferably to the left as it would make it easier to read and t would be positive.

6t - 18 = 18 - 4t
10t = 36

All that is left is to divide by 10 in order to leave t alone.

t = 3.6 or 18/5
8 0
3 years ago
What are the factor pairs for 4×^2+43+30
damaskus [11]
____________________ 4×^2
3 0
3 years ago
Read 2 more answers
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