Find the measure of angle 4

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

Answer:

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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IrinaK [193]

Let $a=$ the number of white marbles in Jar 1
Let $b=$ the number of white marbles in Jar 2
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Jar 1 has $a$ white marbles and $7a$ red marbles so $8a$ marbles total
Jar 2 has $b$ white marbles and $9b$ red marbles so $10b$ marbles total
Since both jars have equal amounts of marbles, $8a=10b$

We have a system of equations:
$a+b=90$
$8a=10b$

The number of red marbles in Jar 2 is $9b$ so we solve for $b$

$8a=10b$
⇒ $a=\frac{5}{4}b$
⇒ $\frac{5}{4}b+b=90$
⇒ $\frac{9}{4}b=90$
⇒ $b=40$
Number of red marbles in Jar 2 is $9b=360$

So there are 360 red marbles in Jar 2.

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3 years ago

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Goryan [66]

Answer:

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Step-by-step explanation:

Because 6b and 7b are like terms so we add them. And 19 is not a like term so we connot add them.

8 0

4 years ago

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