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3 years ago

6

Does anybody know the answer? I feel like it's 180

1 answer:

Vladimir79 [104]3 years ago

8 0

Answer:

The sum of a° and b° will be 180°.

Step-by-step explanation:

We know that two angles are supplementary when they add up to 180 degrees.

We also know that we know that a straight angle is said to be having 180 degrees. A straight angle does change the direction to point the opposite way.

i.e.

Straight angle = 180°

For example, a flat surface does have an angle of 180 degrees. Also, a straight stick does have a straight angle or 180 degree.

So, from the figure, the sum of a° and b° will be 180° as they add up to 180 degrees on a straight line and hence a° and b° are supplementary angles.

Therefore, the sum of a° and b° will be 180°.

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2 years ago

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In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?

monitta

<u>Answer:</u> The ratio that represents the cosine of ∠T is $\frac{56}{65}$

<u>Step-by-step explanation:</u>

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

$\cos \theta=\frac{\text{base}}{\text{hypotenuse}}$

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

$\cos \theta=\frac{UV}{TU}=\frac{56}{65}$

Hence, the ratio that represents the cosine of ∠T is $\frac{56}{65}$

6 0

2 years ago

The probability that a toy Raymond picks out of a box is both plush and a dinosaur is 30%. The probability that a toy Raymond pi

GalinKa [24]

Answer:

0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Dinosaur

Event B: Plush.

The probability that a toy Raymond picks out of a box is a dinosaur is 75%.

This means that $P(A) = 0.75$

The probability that a toy Raymond picks out of a box is both plush and a dinosaur is 30%.

This means that $P(A \cap B) = 0.3$

What is the probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.75} = 0.4$

0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.

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2 years ago