All categories

3 years ago

In a right triangle, the acute angles measure 2x + 50 and 3x degrees. What is the measure of the smallest angle of the triangle?

1 answer:

4 0

Since this is a right triangle the two acute angles must sum to 90 degrees because a triangle's angles must sum to 180 degrees.

2x+50+3x=90

5x+50=90

5x=40

x=8

So the smallest angle is 3x=3*8=24°

You might be interested in

Andrea deposited 138 dollars into her bank account. Which expression represents Andrea’s bank account? *

valentinak56 [21]

Answer:

A. x+138

Step-by-step explanation:

Deposit into her bank account is adding money to her bank account. So that means she's adding $138 to her bank. Which gives us the expression of x+138.

7 0

3 years ago

Read 2 more answers

The weight distribution of parcels sent in a certain manner is normal with meanvalue 12 pounds and standard deviation 3.5 pounds

tino4ka555 [31]

Answer:

The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 pounds

Standard Deviation, σ = 3.5 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.99

$P( X < x) = P( z < \displaystyle\frac{x - 12}{3.5})=0.99$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 12}{3.5} = 2.326\\\\x = 20.141\approx 20.14$

Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

7 0

3 years ago

Imani would like to approximate the number of students in her school with part time jobs . She surveys the 28 students in her ma

sladkih [1.3K]

Biased, because there is only survey of one group of people (one grade, one class). The sample (the class) is too small compared to the population (assuming it’s an average school size). You will end up with less than 1 percent of the population size thus the survey is not reliable information.

6 0

3 years ago

Fill in the table and then round to the given place 225.286

Viefleur [7K]

The answer is 1.4.3. thats the answer rounded

7 0

3 years ago

Two lines, C and D, are represented by the following equations:

guapka [62]

Answer:

(−2, 3), because both lines pass through this point

Step-by-step explanation:

The meaning of "solution to the system of equations" is that both lines intersect at the solution point. That is, they both pass through that point.

8 0

3 years ago

Read 2 more answers