Two triangles are shown to be congruent by identifying a combination of translations, rotations, or reflections that move one figure onto the other. If ΔACB ≅ ΔPRQ, which angle must be congruent to ∠C? Why?
A) ∠Q because corresponding parts of congruent triangles are congruent.
B) ∠R because corresponding parts of congruent triangles are congruent.
C) ∠Q because the triangles are isosceles and the base angles are congruent.
D) ∠R because the triangles are isosceles and the base angles are congruent.

Answer:

30=-4x+12

Step-by-step explanation:

they both equal -9/2

Answer:

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have

[tex]y - 9 = - 5(x - 3) \\ y - 9 = - 5x + 15 \\ y = - 5x + 15 + 9[/tex]

We have the final answer as

Hope this helps you

Answer:

42sq . units

Step-by-step explanation:

To get the width of the shaded rectangle, subtract 2(0.5) from the length of the other rectangle bounding it ( 7cm).

Multiply the length and width together to get the area .

Answer: 42 sq. Units

Step-by-step explanation: i got it right.

Answer:

30b+10v

Step-by-step explanation:

Answer:

What? lol

Step-by-step explanation:

Answer:

........................?

Step-by-step explanation:

Answer:

agree

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

R is D

Step-by-step explanation:

Mathematical Expression:

R=D divided by T

For Y=R substitute R with RT:

R=D

Answer:

-44ax^2-198x^2+66a+297

Step-by-step explanation:

there

Answer:

1.) supplementary  m<1+m<2=180 and m<2+m<3=180

2.) congruent, supplementary

Step-by-step explanation:

the answers are in this order above

Answer: x= −16

Step-by-step explanation:

Answer:

The percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.

Step-by-step explanation:

Let X represent the LDL levels.

It is provided that [tex]X\sim N(123, 41^{2})[/tex].

Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:

[tex]P(X\geq \mu+\sigma)=P(X\geq 123+41)[/tex]

                      [tex]=P(X\geq 164)\\\\=P(\frac{X-\mu}{\sigma}\geq \frac{164-123}{41})\\\\=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]

Thus, the percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.

Answer:

If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Step-by-step explanation:

Mean = [tex]\mu = 464[/tex]

Standard deviation =[tex]\sigma = 6[/tex]

We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02

The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.

n = 27

Refer the z -table

P(Z>x)=2.06

[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37[/tex]

So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Answer:

96 feet cubed

Step-by-step explanation:

I think it's right. 36 inches to feet, 2 yards to feet, 6 feet

3*6*6

96 I think

Answer:

Step-by-step explanation:

Mean is the ratio of sum of the dataset to the sample size. Mathematically:

[tex]\overline x = \frac{\sum Xi}{N}[/tex]

Xi are the individual periods

N is the sample size

[tex]\sum Xi = 1.06+1.31+1.28+0.99+1.48+1.37+0.98+1.31+1.59+1.55\\\sum Xi = 12.92[/tex]

N = 10

Substitute

[tex]\overline x = \frac{12.92}{10}\\\overline x = 1.292[/tex]

hence the mean of the samples is 1.292

For the standard deviation:

[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{N} } \\[/tex]

[tex]\sum (x-\overline x)^2 = (1.06-1.292)^2+ (1.31-1.292)^2+ (1.28-1.292)^2+ (10.99-1.292)^2+ (1.48-1.292)^2+ (1.37-1.292)^2+ (0.98-1.292)^2+ (1.31-1.292)^2+ (1.59-1.292)^2+ (1.55-1.292)^2\\\sum (x-\overline x)^2 = 0.43996[/tex]

Substitute into the formula:

[tex]\sigma = \sqrt{\frac{0.43996}{10} }} \\\sigma = \sqrt{{0.043996}}} \\\sigma = 0.2098[/tex]

Hence the standard deviation is 0.2098

Answer:

$120

Step-by-step explanation:

Happy almost halloween!

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

Answer:

No -60 is not a solution

Step-by-step explanation:

x = 5/12 = 2.400

-60 is not a solution of 5/12, or 1/12*=5.

Hope I helped.

Answer:

90

Step-by-step explanation:

1350 divided by 15

Answer:

We can check this two ways: distributing the -0.5, and plugging in a number for x.

First, we can check this by distributing the -0.5.  Our equation becomes:

-1.5x -2.5 = -1.5x + 2.5

Clearly, this is not true.  We can show this one more time by plugging in a number for x.  I will use 2.

Now, we evaluate both sides and see if they are equal.

-3 - 2.5 = -3 + 2.5

-5.5 = 0.5

Clearly, this is not true.  These expressions are not equivalent.

Step-by-step explanation:

Answer:

Step-by-step explanation:   Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

Answer:

2 x intercepts

Step-by-step explanation:

math go brrr

Answer: the asnwer is three

Step-by-step explanation: well theres your answer

Answer:

30.25

Step-by-step explanation:

121 divided by 4 is 30.25

Answer:

a

Step-by-step explanation:

because there are over half girls and half of 120 is 60 and 75 is over half

9514 1404 393

Answer:

  $77.94

Step-by-step explanation:

The (signed) sum of charges and credits results in the total due:

  $82.04 -4.10 = $77.94 . . . amount due

Answer:

B, D, E

Step-by-step explanation:

Absolute value is always positive so the absolute value of 37 is 37.

and |-37| would equal 37.

HOpe this helps!!

Answer:

try 77

Step-by-step explanation:

Answer:

7.21

Step-by-step explanation:

Given that:

P1=(-1,3) and P2=(5,-1)

Distance between two points :

d = Sqrt[(x2 - x1)² + (y2 - y1)²]

x1 = - 1 ; y1 = 3

x2 = 5 ; y2 = - 1

d = Sqrt[(5 - (-1))² + ((-1) - 3)²]

d = Sqrt[(5 + 1)² + (-1 - 3)²]

d = sqrt[(6)^2 + (-4)^2]

d = sqrt(36 + 16)

d = sqrt(52)

d = 7.21

Answer:

-11,11

Step-by-step explanation:

JUst add 5 to both.

Answer:

No it is 12

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

6 ÷ 1/2 = 12

(1/2 = 0.5)

6 ÷ 0.5 = 12

Check you answer.

0.5 x 12 = 6

So Jordan is incorrect.

The correct answer is 12

Hope this helped :)

Please consider Brainliest :)

Answer:

I need these answers and the ones he put in in the comments are all wrong