MATHEMATICS HIGH SCHOOL

Given: PQ congruent to SR, PQR congruent to SRQ
Prove: PQR congruent to SRQ
Given: PQ congruent to SR, PQR congruent to SRQ Prove: - 1

Answers

Answer 1
Answer:

Answer:

ΔPQR is congruent to ΔSRQ b the Side-Angle-Side rule of congruency   {}    

Step-by-step explanation:

The two column proof is given as follows;

Statement    {}                                         Reason

1. \overline {PQ} ≅ \overline {SR}      {}                                      Given

2. ∠PQR ≅ ∠SRQ   {}                               Given

3. \overline {QR} ≅ \overline {QR}      {}                                     By reflexive property

4. ΔPQR ≅ ΔSRQ   {}                               By SAS rule of congruency   {}          

When two sides and an included angle of one triangle are congruent to the corresponding two side and an included angle of another triangle, both triangles are said to be congruent by the Side-Angle-Side SAS rule of congruency.

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Can you please factor this equation completely. 5x³-20x²-60x please show all work (its a 5 point question)
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The force of gravity on the moon is approximately one sixth that of the earth. The direct variation formula for weight on the earth compared to weight on the moon would be e = 6m, where e = weight on the earth and m = weight on the moon. The space suit that an astronaut wears while making a moon walk would weigh approximately 90 pounds on earth. What would be the weight of a 180 pound man wearing a space suit on the moon

Answers

Answer: 45 pounds

Step-by-step explanation:

Given: The force of gravity on the moon is approximately one sixth that of the earth. The direct variation formula for weight on the earth compared to weight on the moon would be e = 6m, where e = weight on the earth and m = weight on the moon.

The approximate weight of space suit on earth=90 pounds

The weight of man on earth=180 pounds

Therefore, the total weight of the man with space suit (e)=90+180=270\text{ pounds}

Substitute the value of e in the given formula , we get

270=6m\n\n\Rightarrow m=(270)/(6)\n\n\Rightarrow m=45\text{ pounds}

Hence, the weight of a 180 pound man wearing a space suit on the moon = 45 pounds
45 pounds should be your answer

Triangle ABC is similar to Triangle DEF, then AB is congruent to DE

Answers

If it's one of those always, sometimes, never questions, then it is sometimes.
Similar triangles have the same angles, but don't necessarily have the same length of sides.

What is the similarity between numbers; 85,17,19,4 and 2

Answers

The correct answer for the question that is being presented above is this one: "They are all divisors of 6460."

I guess it asks for the Least Common Multiple (LCM) of these numbers.

85= 5*17
17=17
19=19
4=2^(2)
2=2
LCM(85,17,19,4,2)= 5* 17* 19* 2^(2)= 6460.
Conclusion: They are all divisors of 6460.

given the graph of the line represented by the equation f(x)=-2x+b,if b is increased 4 units, the graph of the new line would be shifted 4 units 1.Right 2.up 3.left 4.down

Answers

The answer to the question if b is increased by 4 units the graph of the new line would be shifted 4 units is 2. up

Since f(x) = -2x + b, if b is increased by 4 units, we have

f(x) = -2x + b + 4

This thus shifts the fuction 4 units up, since addition of a constant to a fuction shifts its upwards.

so, if b is increased by 4 units the graph of the new line would be shifted 4 units up.

So, the answer to the question if b is increased by 4 units the graph of the new line would be shifted 4 units is 2. up

Learn more about graph of a line here:

brainly.com/question/17716103
Increasing function value shifts the line up.
answer: 2. up

The expression 4x gives the perimeter of a square with a side length of x units.What is the perimeter of a square with a side length of 5/7 units?

Answers

Answer:

The perimeter is (20)/(7) units.

Step-by-step explanation:

The expression 4x gives the perimeter of a square with a side length of x units.

So the function would be,

f(x)=4x

where,

f(x) is the function which gives the perimeter of the square, x as the side length.

As have to find the perimeter of a square with side length as (5)/(7), so we have to put x as (5)/(7) in the function.

Hence, the perimeter will be,

f((5)/(7))=4((5)/(7))=(20)/(7) units
4x where x = 5/7

=4 * 5/7

= 20/7

= 14/7 + 6/7

= 2   6/7

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?Data set Mean Mean absolute deviation (MAD)
1 10.7 2.4
2 13.7 2.5

2.What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth?

Data Set 1: {14, 18, 21, 15, 17}
Data Set 2: {15, 17, 22, 20, 16}

Answers

Data set 1: 14,15,17,18,21 
mean: (14+15+17+18+21)/5 = 85/5 = 17
mad
17-14 = 3
17-15 = 2
17-17 = 0
17-18 = 1
17-21 = 4 

(3+2+0+1+4)/5 = 10/5 = 2

17/2 = 8.5 is the means-to-mad ratio

Data set2: 15,16,17,20,22
mean = (15+16+17+20+22)/5 = 90/5 = 18
mad
18 - 15 = 3
18 - 16 = 2
18 - 17 = 1
18 - 20 = 2
18 - 22 = 4

(3+2+1+2+4)/5 = 12/5 = 2.4

18/2.4 = 7.5 means to mad ratio
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