All categories

3 years ago

Help I don’t get it ???????

Mathematics

1 answer:

Fittoniya [83]3 years ago

3 0

Answer ∠DEG: 54°
Answer ∠GEF: 36°

Step 1: Write your equation

This question is asking you to determine the measurement of two angles. To begin, you must first solve for x. By looking at ∠DEH, you can see that these angles should equal 90°, since ∠DEF is equal to ∠DEH. Let’s solve for x by writing an equation using the information above. Add the two given angles and equal them to 90 degrees.

6x+4x=90

Step 2: Solve for x

To find the degrees we must first solve our created equation. We need to combine like terms then divide to get x alone.

6x+4x=90
10x=90
x=9

Step 3: Substitute x to find the degree of each angle

The last step will be the most simple. Substitute x into each angle to solve.

6x= 6(9) = 54°
∠DEG= 54°

4x= 4(9)= 36°
∠GEF= 36°

These are your answers! You can check that they are right by adding them, and ensuring that they equal 90°.

Hope this helps! Comment below for more questions.

You might be interested in

Based on past experience, a bank believes that 13% of the people who receive loans will not make payments on time. The bank has

g100num [7]

Answer:

The sample proportion mean and standard deviation are

$\mu=p=0.13\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }= \sqrt{\frac{0.13*0.87}{500} }=0.015$

With reasonable assumptions about the sample, all the conditions are met.

The probability that over 16% of these clients will not make timely payments is P=0.023.

Step-by-step explanation:

We have a sample of 500 loans, of which a proportion of p=0.13 is expected to not be paid on time.

The sample proportion mean and standard deviation are

$\mu=p=0.13\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }= \sqrt{\frac{0.13*0.87}{500} }=0.015$

The assumptions underlying this model are:

- The sample is randomly selected from the population.

- The sampling distribution of p-hat is approximately normal. There are at least 10 successes and 10 failures in the sample.

- Individual observations are independent of each other.

With reasonable assumptions about the sample, all the conditions are met.

What is the probability that over 16% of these clients will not make timely payments?

$z=\frac{x-\mu}{\sigma} =\frac{0.16-0.13}{0.015}=\frac{0.03}{0.015}=2\\\\P(p>0.16)=P(z>2)=0.023$

The probability that over 16% of these clients will not make timely payments is P=0.023.

8 0

3 years ago

How to solve 7m + 2n = 21 and 10m + 4n = -10 using substitution. Step by step please and thank you!

ryzh [129]

7m+2n=21
-7m -7m

2n=21-7m
2 2

n=21-7m
 2

10m+4(21-7m/2)= -10
-10m -10m

4(21-7m/2)= -10-10m

(84-28m/2)= -10-10m
x2 x2

84-28m = -20-20m
+20+28m +20+28m

104 = 8m
8 8

m=13

10(13) + 4n = -10
-130 -130

4n = -140
4 4

n= -35

If anything is unclear please feel free to ask.

5 0

3 years ago

If right I’ll mark brainiest

RUDIKE [14]

Answer: See explanation

Step-by-step explanation:

Population- Every student...

Sample- 10 students sitting together at a table in the cafeteria

Random Sample- 10 Students whose names...

5 0

3 years ago

A watering can dispenses water at a rate of 0.15 gallon per minute. The original volume of water in the can was 5 gallons. Which

olya-2409 [2.1K]

The changing rate of the amount of water in the watering can is a constant rate of 0.15 gallon per minute.

The initial volume of water in the can at time = 0 is 5 gallons

The function will be a linear function in the form of $y=ax+b$ where
$y$ is the volume of water in the can after $x$ minutes
$a$ is the changing rate
$b$ is the initial volume when time is 0

Substitute all the values into the form we have

$y=0.15x+5$

3 0

4 years ago

Find the measure of the missing angle. a 52°

Alisiya [41]

Answer:

ummm

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers