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3 years ago

Given that the measure of angle 3 is 75o. What is the value of x if the measure of angle 7 is (x + 40) ?

Mathematics

2 answers:

Rainbow [258]3 years ago

6 0

<3 and <7 are corresponding angles so they are equal

$\\ \tt\longmapsto x+40=75$

$\\ \tt\longmapsto x=75-40$

$\\ \tt\longmapsto x=35$

Otrada [13]3 years ago

4 0

Answer:

The value of x is 35°.

Step-by-step explanation:

We know that:

∠3 = 75°
∠3 = ∠7 (Corresponding angles)
∠7 = x + 40

Work:

=> 75 = x + 40
=> 75 - 40 = x
=> 35 = x

Hence, the value of x is 35°.

Hoped this helped.

$BrainiacUer1357$

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Read 2 more answers

Question Help Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a

koban [17]

Answer:

a)3.438% of the light bulbs will last more than 6262 hours.

b)11.31% of the light bulbs will last 5252 hours or less.

c) 23.655% of the light bulbs are going to last between 5858 and 6262 hours.

d) 0.12% of the light bulbs will last 4646 hours or less.

Step-by-step explanation:

Normally distributed problems can be solved by the z-score formula:

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

$Z = \frac{X - \mu}{\sigma}$

After we find the value of Z, we look into the z-score table and find the equivalent p-value of this score. This is the probability that a score will be LOWER than the value of X.

In this problem, we have that:

The lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a standard deviation of 333.3 hours.

So $\mu = 5656, \sigma = 333.3$

(a) What proportion of light bulbs will last more than 6262 hours?

The pvalue of the z-score of $X = 6262$ is the proportion of light bulbs that will last less than 6262. Subtracting 100% by this value, we find the proportion of light bulbs that will last more than 6262 hours.