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
Anna is holding a party for six children. She buys cupcakes which come in boxes of four. The children eat all the cupcakes and t
Karolina [17]
Anna could have bought 3 boxes, which would serve 2 cupcakes to each child.
8 0
3 years ago
Read 2 more answers
HIGH POINTS)Please help! (20 points)
USPshnik [31]

Answer:

What the other person said

Step-by-step explanation:

4 0
3 years ago
Help me please asap!
ad-work [718]

Answer:

Step-by-step explanation:

First you must notice each of them share an x value in the exponent. So with that being said x is your GCF or in otherwords greatest common factor.

So you have an x(x^3-6x^2+9x)

you must take x from all of them inside the ( )

because x is your gcf :)

So x(x^2-6x+9) Now you use the trail and method error

to get (x-3 )(x-3 )you need two numbers that multiply to 9 but add up to -6 so... that would hmmm -3 and -3 cause -3*-3=9 and -3+-3=-6

don't forget your GCF bring it down because it's always in your answer

x(x-3)(x-3)

or..

x(x-3)^2 both are the same thing

ANSWER CAN BE

x(x-3)(x-3) OR x(x-3)^2

Both are the same thing just written different! You're welcome!

8 0
4 years ago
Brian is drawing a scale diagram of a building. for every 10 m of the building he draws a line 5 cm long. Bryn thinks he is usin
ivann1987 [24]

Answer:

200:1, Bryn is correct.

Step-by-step explanation:

Each 10 m is represented by a 5cm length on the diagram.  We first note that 100 cm = 1 meter.   5 cm is (0.5 cm)*(1 meter/100 cm) =0.05 meters.

The 0.05 meters on the diagram represents 10 meters on the actual building.  The ratio is (10 meters/0.05 meters) or 200:1.  This is what Bryn believes is the ratio.  

7 0
2 years ago
Toxaphene is an insecticide that has been identified as a pollutant in the Great Lakes ecosystem. To investigate the effect of t
Likurg_2 [28]

Answer:

This data suggest that there is more variability in low-dose weight gains than in control weight gains.

Step-by-step explanation:

Let \sigma_{1}^{2} be the variance for the population of weight gains for rats given a low dose, and \sigma_{2}^{2} the variance for the population of weight gains for control rats whose diet did not include the insecticide.

We want to test H_{0}: \sigma_{1}^{2} = \sigma_{2}^{2} vs H_{1}: \sigma_{1}^{2} > \sigma_{2}^{2}. We have that the sample standard deviation for n_{2} = 22 female control rats was s_{2} = 28 g and for n_{1} = 18 female low-dose rats was s_{1} = 51 g. So, we have observed the value

F = \frac{s_{1}^{2}}{s_{2}^{2}} = \frac{(51)^{2}}{(28)^{2}} = 3.3176 which comes from a F distribution with n_{1} - 1 = 18 - 1 = 17 degrees of freedom (numerator) and n_{2} - 1 = 22 - 1 = 21 degrees of freedom (denominator).

As we want carry out a test of hypothesis at the significance level of 0.05, we should find the 95th quantile of the F distribution with 17 and 21 degrees of freedom, this value is 2.1389. The rejection region is given by {F > 2.1389}, because the observed value is 3.3176 > 2.1389, we reject the null hypothesis. So, this data suggest that there is more variability in low-dose weight gains than in control weight gains.

8 0
3 years ago
Other questions:
  • The value of the digit in the hundreds place in the number 653841 is 1/10 the value of the digit in the thousands place in which
    8·2 answers
  • Consider x+4=x+8 what values could be substituted for x to make this a true number sentence
    12·1 answer
  • The measure of the largest angle of a triangle is three times the measure of the smallest triangle and 2 more than the third ang
    8·1 answer
  • Is 1+4(3x-10) -12x equivalent to -9
    5·1 answer
  • What is the place value of the 6 in the number 54.2763?
    11·2 answers
  • Evaluate f(x) = 2x4 - 4x3-11x2+3x-6 for x=-2 f (-2) =?
    8·2 answers
  • Gabriel has 15 ⅝ pounds of clay. He will use 7/10 pound to make each bowl. After making 8 bowls, Gabriel wonders how many more b
    13·1 answer
  • A grocery store sells avocados for $1.25 each. The graph shows the cost for different numbers of avocados.
    14·1 answer
  • Which is not a pair of congruent angles in the diagram below
    8·2 answers
  • Please answer for me.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!