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GuDViN [60]
3 years ago
14

Tell whether the angles are adjacent or vertical. Then find the value of x.

Mathematics
1 answer:
Alexandra [31]3 years ago
3 0

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

4x = 100

100 / 4 = 25

x = 25

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In the image shown, line n is a transversal cutting parallel lines l and m. ∠1 = 3x + 18 ∠7 = 2x + 39 What is the measure of ∠7?
wel

Answer:

B) 81°

Step-by-step explanation:

Given:

From the figure given below,

∠1 = 3x + 18

∠7 = 2x + 39

∠1  and ∠7 are a pair of exterior alternate angles. For two parallel lines l and m, cut by a transversal n, the pair of exterior alternate angles are congruent to each other.

Therefore, the angles 1 and 7 are congruent to each other. This gives,

∠1  ≅ ∠7

3x+18=2x+39\\\\3x-2x=39-18\\\\x=21

Therefore, the value of 'x' is 21.

Now, the measure of angle 7 can be calculated by plugging in the value of 'x' in the expression for angle 7. This gives,

\angle 7 = 2x + 39\\\\\angle 7 =2\times 21+39\\\\\angle 7 =42+29\\\\\angle 7 =81\°

Therefore, the correct option is option (B).

4 0
3 years ago
Read 2 more answers
G(n)=3n^3-5 h(n)=2n-5 find(g+h)(2)
dlinn [17]

g(n) = 3n³ - 5           h(n) = 2n - 5              (g + h)(2) = g(2) + h(2)

g(2) = 3(2)³ - 5  = 3(8) - 5   = 24 - 5   = 19

h(2) = 2(2) - 5   = 4 - 5   = -1

g(2) + h(2) = 19 + -1   = 19 - 1   = 18

Answer: 18

4 0
3 years ago
Write the equation of the line that passes through (2, 4) and has a slope of -1 in point-slope form.
Delvig [45]

Answer:

Step-by-step explanation:

y - 4 = -(x - 2)

y - 4 =-x + 2

y = -x + 6

3 0
3 years ago
HELP PLEASE THANK U
Solnce55 [7]
This is just my guess but I want to say no they are not similar because the first 10 + 5 = 15
8 + 5 = 13 not 12
To make it similar, 8 needs to be 7. This is ONLY my guess, I’m not 100% confident in my answer
5 0
3 years ago
Set up a proportion and solve: Marlon spent $18 for 12 gallons of
Airida [17]
18/12=22.50/n
he could buy 15 gallons
5 0
3 years ago
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