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cupoosta [38]
3 years ago
5

Question 2 help please

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

  • In any triangle, the sum of the measures of its interior angle is 180°
  • In the isosceles triangle, the two base angles are equal in measures

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

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Given that (2,8) is on the graph of f(x),find the corresponding point for the function -3/4 f(x)
yuradex [85]

Answer:

Corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )

Explanation:

 When a graph f(x) is multiplied by a factor k, the points on the graph also changes by (kx, ky).

Here it is given that (2,8) is on the graph of f(x)

Now we need to find corresponding point to (2,8) along -3/4 f(x)

x - coordinate = \frac{-3*2}{4} =-1.5

y - coordinate = \frac{-3*8}{4} =-6

So corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )

8 0
3 years ago
6. Sammi spun a spinner with 5 equal parts labeled 1-5. If she spins the spinner 20 times, how many times should she expect to s
Tasya [4]

Answer:

Step-by-step explanation:

There is a 1/5 chance she spins a 1. (1/5 = 20% = 0.2)

She spins 20 times:

20 * 0.2 = 4

So she should expect getting 4 twos.

If there was anything that you didn't understand, just comment your question below this answer!

Have a good day! (●'◡'●)

6 0
2 years ago
If the degree in the numerator is smaller than the degree in the denominator and there is no vertical
mote1985 [20]
The answer is false.
8 0
2 years ago
Read 2 more answers
5
Svetradugi [14.3K]

Answer:

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Step-by-step explanation:

Given sequence is:

-9, -2, 5, 12,...

Here the first number is f(1)

Common Difference:

Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.

In the given sequence,

f(1) = -9

f(2) = -2

f(3) = 5

d=f(2)-f(1) = -2-(-9) = -2+9 = 7\\d = f(3)-f(2) = 5-(-2) = 5+2 = 7

Hence,

The right answer is:

Option OB: f(1) = -9

Common difference: 7

7 0
2 years ago
Point P is located at (6, -4), while point Q is located at (6, 4). How are the two points related?
STALIN [3.7K]

Answer:

They have the same x value.

Step-by-step explanation:

3 0
2 years ago
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