1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Simora [160]
3 years ago
12

In the diagram, ΔPMN ≅ ΔQSR.

Mathematics
2 answers:
SOVA2 [1]3 years ago
8 0

Answer:  PN = 20 in.


Step-by-step explanation:

In the diagram two congruent triangles are given ΔPMN ≅ ΔQSR.

So by CPCTC (corresponding parts of congruent triangles are congruent)

In ΔPMN and ΔQSR

PN=QR=20 in.

PM=SQ=24 in.

MN=RS= 7 in.

Congruent triangles are the triangles of which all the sides and all the angles are congruent.

  • If two triangles are said to be congruent then its all corresponding parts must be equal.
kotykmax [81]3 years ago
7 0
20. qr is congruent to pn so pn is 20
You might be interested in
A circle has an area of approximately 615 square millimeters. What is the diameter of the circle
noname [10]

Answer:

When using the given information, the diameter of the circle is going to be 28 mL.

Step-by-step explanation:

First, we need to know the formula for finding the area of a circle.

Area=r^2\pi

Now, we need to rearrange the formula so we can find the radius.

Radius=\sqrt{\frac{A}{\pi} }

Next, we plug in the given area into the equation.

Radius=\sqrt{\frac{615}{\pi}}

Radius=\sqrt{196}

Radius=14

Now that we have the radius, we can find the diameter. The radius is half the length of the diameter. So, in order to find the diameter, we have to multiply the radius by 2.

14 * 2=28

So, the diameter of the circle is 28 mL

3 0
3 years ago
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
jekas [21]

Answer:

The test statistic is z = 1.865.

Step-by-step explanation:

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

H0: p = 0.11

This means that 0.11 is tested at the null hypothesis, and so:

\mu = 0.11

\sigma = \sqrt{0.11*0.89} = 0.3129

The engineer weighs 94 bags and finds that 16 of them are over-filled.

This means that:

n = 94, X = \frac{16}{94} = 0.1702

What is the test statistic?

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1702 - 0.11}{\frac{0.3129}{\sqrt{94}}}

z = 1.865

The test statistic is z = 1.865.

6 0
2 years ago
2x 7 = -3solve for x , what is x
o-na [289]
Is it 2x +7= -3? If so the answer is -5
7 0
2 years ago
I need help with this problem quick.
KatRina [158]

The absolute value - or distance from zero, is fairly simple to find. Make your final answer positive to find it.


|\frac{10-7}{4}| = |\frac{3}{4}| = |.75| = .75

|\frac{-15+8}{6}| = |-\frac{7}{6}| = |-1.2| = 1.2

8 0
3 years ago
At the beginning of the month, Sheryl had a balance of $120 in her checking account. She then made a purchase for $80, using her
Rama09 [41]
$80

add what you took out
3 0
2 years ago
Other questions:
  • The Smiths are on a summer road trip. They travel 10.9 hours the first day. 8.6 hours the second day and 12.4 hours the final da
    6·2 answers
  • PLS HELP!!! BRAINLIEST AND 50 POINTS!!!!! CORRECT ANSWERS ONLY PLS<br><br> What is the value of x?
    5·1 answer
  • What is the GCF of 16, 4089 and 689
    5·1 answer
  • Factor 10b-25b^3 please answer asap
    11·1 answer
  • Evaluate 13 - 0.75w + 8z when w = 12 and x = 1/2
    12·1 answer
  • PLZ HELP ME I DON'T REALLY UNDERSTAND<br><br> M-7&lt;6
    7·2 answers
  • I need help with 2. how do I prove?
    10·1 answer
  • Emily has 8 coins in her purse totaling 50 cents. The only kinds of coins she has are nickels and dimes. How many nickels does E
    5·2 answers
  • Convert 16/100 to decimal.
    14·1 answer
  • Standard form of 89000​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!