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Romashka [77]
3 years ago
8

Find the measure of angle 4

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0

Answer:

38

Step-by-step explanation:

Notice that the first triangle is an isosceles triangle, meaning that the base angles are equivalent. Since one angle is 62, we know that the other is 62 as well, which makes 124. This means that angle 2 is 56 degrees. Since 2 and 3 are on the same 'line', they both add up to 180. If 2 is 56, then angle 3 is 124. So the three angles inside the triangle are 124, 18, and x. So, 124+18=142. 180-142= 38

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Vlad1618 [11]

Answer:

34.78 feet

Step-by-step explanation:

1) using the cosine function, I did cos(43)=x/51

This is because cosine is equal to adjacent over hypotnuse

Once I found x, I used the pythagorean theorem to get 34.78 feet

3 0
3 years ago
An isosceles triangle has a base 9.2 units long. If the congruent side lengths have measures to the first decimal place, what is
Nadusha1986 [10]

Question:

An isosceles triangle has a base of 9.6 units long. If the congruent side lengths have measures to the first decimal place, what is the possible length of the sides? 9.7, 4.9, or 4.7

Answer:

4.9 is the shortest possible length of the sides.

Step-by-step explanation:

Given:

The base of the triangle base  =   9.2 units

To Find:

The shortest possible length of the sides = ?

Solution:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So According to the theorem

x+x > 9.6

2x > 9.6

x > \frac{9.6}{2}

x > 4.8

In the given option 4.9 is the shortest length greater than 4.8 that can be possible.

3 0
3 years ago
Find the area of the triangle.<br> 16 in.<br> 25 in.
Alja [10]

Answer:

The area of the triangle with the given measurements is 200 in²

Step-by-step explanation:

For this problem, we will need to know the formula for finding the area of a triangle.

<em>A = 1/2(bh)</em>

Now, let's plug in these numbers so we can find the area.

A = 1/2(bh)

A = 1/2(16*25)

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A = 200 in.²

8 0
3 years ago
For what values of x is the rational expression below undefined?
Marina CMI [18]
Hello,

A fraction is not defined if its denominator is null.

3x²-75=0
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==>(x+5)(x-5)=0
==>x=-5 or x=5

8 0
3 years ago
Read 2 more answers
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Brut [27]

Answer:

12 mph

Step-by-step explanation:

First 30 miles while cycling at 15 mph. This means he spent 2 hours here.

Thus the 4 hours on the last 48 miles.

Average speed  =  distance / time

Average speed = 48 miles / 4 hours

Average speed = 12 mph

Therefore Regan's average speed is 12 mph for the last 48 miles.

4 0
2 years ago
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