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
masha68 [24]
4 years ago
14

Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ =

m∠PTS
Mathematics
1 answer:
skelet666 [1.2K]4 years ago
3 0

Answer: B) m∠TPS = m∠RPQ


Step-by-step explanation:

Given that ΔPQR is similar to ΔPTS

We know that of two triangles are similar then their corresponding angles are equal in measure and corresponding sides are proportional.

Therefore, If ΔPQR is similar to ΔPTS, then

m∠TPS=m∠RPQ

m∠STP=m∠RQP

m∠PTS=m∠PQR

Therefore, from the given options, only B is the right options, i.e. m∠TPS = m∠RPQ


You might be interested in
The time it takes to deliver a pizza (from time of phone call to delivery at door) follows a normal distribution with a mean (µ)
Yuki888 [10]

Answer:

99.87% of the store’s total delivery orders will be delivered to consumers with charge

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 45, \sigma = 5

If a pizza store’s policy is, "Orders delivered within one hour or they’re free!", what percentage of the store’s total delivery orders will be delivered to consumers with charge?

Within one hour, which is 60 minutes. So this is the pvalue of Z when X = 60.

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 45}{5}

Z = 3

Z = 3 has a pvalue of 0.9987

99.87% of the store’s total delivery orders will be delivered to consumers with charge

5 0
3 years ago
How many degrees is StartFraction 15 Over 16 EndFraction pi radians? 84.375° 93.75° 168.75° 337.5°
Leno4ka [110]

Answer:

x = 168.75°

Step-by-step explanation:

<u>Angle Measurement Units</u>

To convert from different units for angle measurements, we have to recall that:

180 degrees = π radians

If we are given the angle in degrees, multiply by π/180 to convert it to radians.

If the angle is given in radians, multiply by 180/π to convert to degrees.

We are given the angle:

\displaystyle x=\frac{15}{16}\pi

Multiplying by 180/π:

\displaystyle x=\frac{15}{16}\pi\cdot \frac{180}{\pi}

Simplifying:

\displaystyle x=\frac{15*180}{16}

x = 168.75°

6 0
3 years ago
Read 2 more answers
An automotive service center would like feedback on its customer service. each customer receives a printed card after they pay f
My name is Ann [436]

The statement second "this is nonresponse bias because many customers may choose to not fill out the cards" would be the best choice.

<h3>What is a survey?</h3>

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

We have an automotive service centre would like feedback on its customer service each customer receives a printed card after they pay for services with a short survey on which customer service is ranked on a scale from 1  to 5.

From the data given we can say, not everyone will choose to leave a review when leaving the store, and those who do will have been inconvenienced in some way and felt compelled to do so, while the rest of the customers left and went about their business.

Thus, the statement second "this is nonresponse bias because many customers may choose to not fill out the cards" would be the best choice.

Learn more about the survey here:

brainly.com/question/17373064

#SPJ1

3 0
2 years ago
At the local bakery Ariel bought 2 oatmeal cookies for $1.50. Mei bought 1/2 dozen oatmeal cookies for $4.50. Becky bought 8 oat
sergejj [24]

Answer:

Its proportional because when you divide each oatmeal bought and the amount you will end up with .75

3 0
2 years ago
Two planes just took off from Milwaukee, WI. The first plane is traveling 3
drek231 [11]
Answer:

D = rt
b, slower plane
8.5(3b) - 8.5(b) = 1649
25.5b - 8.5b = 1649
17b = 1649
b = 97mph
3b = 291mph
4 0
3 years ago
Other questions:
  • If f(x) = x2 − 1, and f(2a) = 35, then what could be the value of a
    12·1 answer
  • Write an expression, involving exponents to represent the shaded area, in square inches of the diagram. ​
    15·2 answers
  • Find the difference.<br> (4m^2 - m+2) - (-3m^2+ 10m + 4) =(
    9·1 answer
  • In Δ ABC, which is the included side between ∠A and ∠C?
    5·1 answer
  • Martin and three of his friends take turns driving on a trip. The gas mileage for their car ranges from 28.94 to 24.56 miles per
    7·1 answer
  • Identify the graph of the solution set of -2.3&lt; 4 + 0.9y
    10·1 answer
  • 5. Among 70 students , 40 like tea 24 like coffee and 12 like both drinks then find
    14·1 answer
  • I need help please help
    11·1 answer
  • Stanley bought a rectangular piece of land to build an amusement park. He is going to call his amusement park “Canada’s Stanley
    11·1 answer
  • Select the THREE expressions that are equivalent to 6x+ 1 - (3x - 1)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!