All categories

3 years ago

What is the measure of <B, in degrees.

Mathematics

2 answers:

Nonamiya [84]3 years ago

8 0

Answer:

Step-by-step explanation:

The base angles of the triangle are the same since the sides are the same

<C = 74

A+B+C = 180 since the sum of the angles of a triangle = 180

74+B+74=180

Combine like terms

148+B =180

B = 180-148

B = 32

algol [13]3 years ago

6 0

Answer:

$\text{A. }32^{\circ}$

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, $\angle A=\angle C=74^{\circ}$ .

Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:

$\angle A+\angle B+\angle C=180$

Substitute $\angle A=\angle C=74^{\circ}$ into this equation to solve for $\angle B$ :

$74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}$

You might be interested in

Select all expressions that are equivalent to 4x+2(2x-5)-(3-5x)

Arada [10]

For this case we have the following expression:

$4x + 2 (2x-5) - (3-5x)$

Applying distributive property to the terms within parentheses taking into account that:

$- * + = -\\- * - = +$

We have:

$4x + 4x-10-3 + 5x =$

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

$4x + 4x + 5x-10-3 =\\13x-13$

Thus, an equivalent expression is:

$13x-13$

Answer:

$13x-13$

4 0

2 years ago

In the himalaya mountains along the border of tibet and nepal, mount everest reaches a record height of 29,035 feet. how high is

saul85 [17]

29,028ft 5 and 1/2 miles About as big as 20 empire state buildings.

5 0

2 years ago

Read 2 more answers

Rochelle works part-time at the college museum, which pays her at a rate of $10 per hour. She also makes small bracelets that sh

katrin [286]

We know for our problem that Rachel makes $10 per hour. Since $x$ represent the number of hours that she works, $10x$ will be the total amount that she will make for working $x$ hours. We also know that she sells bracelets for $5 each. Since $y$ represents the number of of bracelets that she sells, $5y$ will be her total revenue for selling $y$ bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of $10x$ and $5y$ must be equal or greater than 200:

$10x+5 \geq 200$

We can conclude that <span>the graphs that shows the inequality that represents this situation, with its solution region shaded is:</span>