MATHEMATICS MIDDLE SCHOOL

Can someone please help me with this (if you cant see it just zoom in)

Answers

Answer 1

Answer:

Option A: $(S R)/(B C)=(R T)/(C A)$

Option C: $\angle R\cong \angle C$

Solution:

Given ΔRST similar to ΔABC.

To determine which statements are true for the given similarity triangles.

Option A: $(S R)/(B C)=(R T)/(C A)$

By the similarity theorem,

If two triangles are similar, then the corresponding angles are equal and the corresponding sides are in the same ratio or proportion.

Therefore, $(S R)/(B C)=(R T)/(C A)$

It is true.

Option B: $\angle S\cong \angle A$

By the similarity theorem, corresponding angles are equal.

∠S is corresponding to ∠B.

So, $\angle S\cong \angle B$ .

That means ∠S is not corresponding to ∠A.

Therefore, it is false.

Option C: $\angle R\cong \angle C$

By the similarity theorem, corresponding angles are equal.

∠R is corresponding to ∠C.

Therefore $\angle R\cong \angle C$ .

It is true.

Option D: $(S R)/(B C)=(R T)/(AB)$

We already, proved in option A that $(S R)/(B C)=(R T)/(C A).$

Therefore, $(S R)/(B C)\neq (R T)/(AB)$ .

It is false.

Option A and Option C are true.

Hence $(S R)/(B C)=(R T)/(C A)$ and $\angle R\cong \angle C$ .

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DF.

Answers

Step-by-step explanation:

if that's what you mean

Sammy picks blueberries and cherry tomatoes. • She earns $3.00 for each pint of blueberries and $2.00 for every pint of cherry tomatoes she picks.
• Sammy earned a total of $28.00.
• She picked twice as many pints of tomatoes as blueberries.
How many pints of blueberries did Sammy pick?

Answers

Answer:

Step-by-step explanation:

b = pints of blueberries

c = pints of cherry tomatoes

3b + 2c = 28

2b = c

First, substitute 2b into the c of the first equation.

3b + 2(2b) = 28

3b + 4b = 28

7b = 28

b = 4

Then, substitute 4 into the b of the second equation.

2(4) = c

c = 8

Then, substitute both values into the first equation to check.

3(4) + 2(8) = 28

12 + 16 = 28

3(x-4/3)=3x+? That has no solution

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The answer is -4. Do you need to know why?

YEA THERE IS NO SOLUTION...........

Write the equation and solve: eight more than the sum of a number and 5 is 20

Answers

Greetings!

You can solve this with a simple equation:

Take the letter x to be the unknown number:

20 = 8+ (X + 5)

Then you can move the 8 + to the opposite side making it a negative 8:

20-8 = X + 5

12 = X + 5

Move the +5 over to the other side, making it a negative 5:

12 - 5 = x

7 = x

So the value of x is 7.

Hope this helps!

Elsie bought a video game for $85.00. If the store charges 170% of its cost for the game, how much is the store’s profit?

Answers

The profit of the store is the amount the store makes on top of the cost of

each game sold.

The store's profit is $35.00

Reason:

Theamount Elsie bought the video game = $85.00

The percentage the store charges = 170% of the cost of the game

We have;

Let C represent the cost of the game, we have;

170% of C = 85.00

Which can be expressed as $(170)/(100) * C = 85.00$

Therefore;

$C = (85.00)/((170)/(100) ) = \frac{85.00 * 100}{{170} } = 50$

The cost of the game, C = $50.00

Profit = Selling price - Cost

Therefore, the store's profit, P = $85.00 - $50.00 = $35.00

Learn more here:

brainly.com/question/16866047

brainly.com/question/19568269

144.5 U.S. dollars I think.

Can someone plz help me

What is the surface area of the figure? A. 408 ft2 B. 458 ft2 C. 545 ft2 D. 720 ft2

Answers

There are 2 faces 7 x 5

$2*(5*7)=2*35=70ft^2$

There 2 faces 5 x 5

$2*(5*5)=2*25=50ft^2$

there are 3 faces 5 x 12

$4*(5*12)=4*60=240ft^2$

There are 2 faces 7 x 7

$2*(7*7)=2*49=98ft^2$

Now only we have to sum all of them together

$98+240+50+70=458ft^2$

$cuboid : \n \n l=12 \ ft , \ \ w = 5 \ ft , \ \ h= 7 \ ft \n \n A = 2wl + 2lh + 2hw \n \nA=2\cdot 5\cdot 12 + 2\cdot 12\cdot 7 + 2\cdot 7\cdot 5 = 120+ 168 +70 = 358 \ ft^2 \n \n cube: \n \n four \ side \ walls : \n \n s= 5 \ ft \n \n 4 \cdot s^2 = 4 \cdot 5^ 2 = 4*25 = 100 \ ft^2 \n \n surface \ area \ of \ the \ figure : \n \n 358 +100 = 458 \ ft^2 \n \n Answer : \ B. \ 458 ft^ 22$