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2 years ago

If QRS TUV, which congruences are true by CPCTC? Check all that apply.

Mathematics

2 answers:

Morgarella [4.7K]2 years ago

4 0

It is given thatΔ QRS ≅Δ TUV

Out of all the given options

(D) QR =TU

(E) S = V

(F) R= U

C, D,E, F are correct options.

Because when two triangles are congruent their corresponding parts are equal.

CPCT means corresponding parts of congruent triangles.

All these options are congruent by CPCT.

Side QR is congruent to TU.

Side Q S is congruent to TV.

Angle S is Congruent to Angle V.

Angle R is congruent to Angle U.

The meaning of congruency of shapes is that the two or many more shapes are identical.

mr Goodwill [35]2 years ago

3 0

Answer:

Side QR is congruent to TU.

Side Q S is congruent to TV.

Angle S is Congruent to Angle V.

Angle R is congruent to Angle U.

Step-by-step explanation:

i took the test

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horsena [70]

Answer:

y=3+x

Step-by-step explanation:

If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me

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2 years ago

Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is

yulyashka [42]

Answer:

Shell is under Red color cup

Step-by-step explanation:

We have 3 cups and 3 objects which they cover under them.

Taking into consideration (4) and (2) as they both describe the position related to bean

(4) Gray cup →Bean (right) (2) coin ← bean (left)

that means coin can either under Gray cup or left to gray cup.

Now

(1) Red ← White (left) (3) Shell → Gray (right)

This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)

so coin will be under gray cup

on forming the Color of cups and the coin below them

C1 C2 C3

Red Gray White

__ __ __

Shell coin Bean

So Shell is under Red color cup

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2 years ago

Jim's work evaluating 2 (three-fifths) cubed is shown below. 2 (three-fifths) cubed = 2 (StartFraction 3 cubed Over 5 EndFractio

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Answer:

$2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5^3})$ and not $2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5})$

Step-by-step explanation:

Jim's work evaluating $2(\frac{3}{5}) ^{3}$ is shown:

$2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5})=2(\frac{3X3X3}{5})=2(\frac{27}{5})=\frac{54}{5}$

If you look at the Second step, the exponent is taken over only the numerator. It should have been taken over both the numerator and denominator as shown below.

$2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5^3})$

The correct workings therefore is:

$2(\frac{3}{5}) ^{3}=2(\frac{3^3}{5^3})=2(\frac{3X3X3}{5X5X5})=2(\frac{27}{125})=\frac{54}{125}$

7 0

2 years ago

Read 2 more answers

A shoe factory produces 1.81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it ma

quester [9]

Answer:

2*10 ^6 shoes in 10 years

Step-by-step explanation:

1.81 × 10^4 pairs of shoes each month

1.2 × 10^2 months in 10 years

Multiply these together to determine the number of shoes in 10 years

1.81 × 10^4 * 1.2 × 10^2

We want to estimate so 1.81 is approximately 2 and 1.2 is approximately 1

2 × 10^4 * 1 × 10^2

Multiply the numbers

2*1 = 2

Add the exponent

10 ^ ( 4+2)

10 ^6

Put this back together

2*10 ^6

4 0

2 years ago

Read 2 more answers

From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that ag

Jlenok [28]

Answer:

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the the actual mean starting age of smokers is significantly lower than 19.

Step-by-step explanation:

1) Data given and notation

$\bar X=18.1$ represent the mean age when smokers first start to smoke varies

$s=1.3$ represent the standard deviation for the sample

$\sigma=2.1$ represent the population standard deviation

$n=37$ sample size

$\mu_o =5.7$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean starting age is at least 19, the system of hypothesis would be:

Null hypothesis: $\mu\geq 19$

Alternative hypothesis: $\mu < 19$

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{18.1-19}{\frac{2.1}{\sqrt{37}}}=-2.607$

Calculate the P-value

Since is a one-side lower test the p value would be:

$p_v =P(z$

Conclusion

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2 years ago