All categories

3 years ago

Use the exterior angle theorem to find the value of x in the triangle below.

Mathematics

1 answer:

Arisa [49]3 years ago

7 0

Answer:

Option A

Step-by-step explanation:

By using the definition of an exterior angle of a triangle,

"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"

m∠STP = m∠SWT + m∠STW

Substitute the measures of the angles from the picture attached,

15x = (7x + 1) + (7x + 6)

15x = (7x + 7x) + (1 + 6)

15x = 14x + 7

15x - 14x = 7

x = 7

Therefore, Option A will be the correct option.

You might be interested in

There are 12 balls in a bag. One is blue and one is red. What is the exact probability that the blue ball is drawn first and the

Fiesta28 [93]

<h3>The exact probability that the blue ball is drawn first and the red ball is drawn second is $\frac{1}{132}$ </h3>

Solution:

The probability of an event is given as:

$Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}$

Given that,

There are 12 balls in a bag

One is blue and one is red

Favorable outcome = blue ball is drawn first

Favorable outcome = 1

Therefore,

$Probability = \frac{1}{12}$

Now, without replacement, red ball is drawn second

Therefore,

Total possible outcomes = 12 - 1 = 11

$Probability = \frac{1}{11}$

What is the exact probability that the blue ball is drawn first and the red ball is drawn second?

$Total\ probability = \frac{1}{12} \times \frac{1}{11} = \frac{1}{132}$

Thus the exact probability that the blue ball is drawn first and the red ball is drawn second is $\frac{1}{132}$

8 0

3 years ago

Amy mows 7 lawns in 4 hours. How long does it take her to mow one lawn? Round your answer to the

Hitman42 [59]

Answer:

1.75

Step-by-step explanation:

7 divided by 4 where yo would get 1.75 and it is already rounded to the nearest hundreth ( im a 6th grader not positive if i got it right)

7 0

3 years ago

Which expression is equivalent? (2−1x−3y−3)5

irga5000 [103]

−5x−15y−5 is what i get

5 0

2 years ago

PLEASE HELP ASAP 25 PTS

gladu [14]

Answer:

Graph (a)

Step-by-step explanation:

When we take x = 0 and replace in the given formula we get:

y = 0.5 (0.5)ˣ = 0.5 (0.5)⁰ = 0.5 · 1 = 0.5 and this corresponds to graph (a).

God with you!!!

7 0

3 years ago

Two numbers multiply to be -7 and add to be -6. What are the numbers? Example; 2,3

rewona [7]

Given:

Let the two numbers be x and y.

Two numbers multiply to be -7 and add to be -6.

This can be written in equation as,

$xy=-7$ and

$x+y=-6$

Value of the two numbers:

Let us determine the value of the two numbers using substitution method.

Substituting $y=-6-x$ in the equation $xy=-7$ , we get;

$x(-6-x)=-7$

Simplifying, we get;

$-6x-x^2=-7$

$x^2+6x-7=0$

$(x+7)(x-1)=0$

$x=-7, 1$

Thus, the values of x are x = 1,-7

When x = 1 , the equation $x+y=-6$ becomes $y=-7$

When x = -7, the equation $x+y=-6$ becomes $y=1$

Therefore, the two numbers are 1 and -7

3 0

3 years ago