All categories

2 years ago

If triangle ABC is isosceles and triangle DBE is equilateral what is the measure of angle C

Mathematics

1 answer:

luda_lava [24]2 years ago

6 0

Answer:

43°

Step-by-step explanation:

For triangle ABC:

A = C so all we need to do is to calculate the value of B

The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well

Since DBE is an equilateral triangle angle is DBE = 60°

17 + 17 + 60 = 94 this is the measure of angle B

The sum of interior angles in a triangle is equal to 180

A + B + C = 180

A + C + 94 = 180

A + C = 86 since A = C we divide 86 by 2

C = 43°

You might be interested in

The surface area of a cone is found using the formula SA = Pir2 + Pirl. Describe what each part of the formula represents and ho

N76 [4]

Answer:

hope it will help uh.....

6 0

2 years ago

Read 2 more answers

Choose the correct simplification of the expression (-9a^3b^2c^10)^0

Flauer [41]

Option C: 1 is the simplification of the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

Explanation:

The given expression is $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

We need to simplify the given expression.

Simplification:

To simplify the given expression, let us apply the exponent rule, $a^{0}=1$ where $a \neq 0$

Thus, the the exponent rule $a^{0}=1$ means that any value (except zero) to the power of zero is equal to one.

Thus, the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$ becomes,

$\left(-9 a^{3} b^{2} c^{10}\right)^{0}=1$

Therefore, the simplified expression is 1

Hence, Option C is the correct answer.

8 0

3 years ago

Select all that apply. Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these

netineya [11]

Answer:

The line represents a direct variation function.

Step-by-step explanation:

This line would cross the point (0, 0) making it a direct variation function.

We know the line would cross (0, 0) because the slope of the line is 2/3 (change in y over change in x, so 4-2 over 6-3 which simplifies to 2/3). From the point (3, 2), we can use the slope to calculate backwards to the origin.

3 0

3 years ago

What is a correct way to rewrite p m p n pmpn ?

Akimi4 [234]

Answer:

$p^{4}$ $m^{2}$ $n^{2}$

Step-by-step explanation:

collect like terms and multiply

(p×p×p×p)×(m×m)×(n×n)

5 0

3 years ago

Read 2 more answers

Which is the smallest decimal it is 0.01 or 0.1 or 0.19 or 0.019

Alexus [3.1K]

The smallest decimal is 0.019

6 0

2 years ago

Read 2 more answers