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3 years ago

Find the missing length. The triangles are similar.

Mathematics

1 answer:

Marina CMI [18]3 years ago

4 0

Answer:

RK= 13 SK= 12

Step-by-step explanation

First, we find the missing length of RK using the given information: 65-52=13

Then we divide 65 by 13 to get a scale factor: 65/13=5

(To check, we multipuly: 13*5=65)

We then apply the scale factor to MK to find SK: 60/5=12

(To check we multipuly: 5*12=60)

We now have our answers: RK:13, SK:12

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2 years ago

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Which system of equations can be used to solve for the point of intersection of the lines on the graph? A) y = x - 7; y = 2x + 2

ratelena [41]

Answer:

C) y = 2x + 7; y = 2x + 2

Step-by-step explanation:

The two lines are parallel and so will have the same slope.

From the graph, the slope of both lines are two.

Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c

The blue line has a y-intercept of 2 so the equation is

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$y = 2x - 7$

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The correct answer is C

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3 years ago

If you can buy one pineapple for $4, then how many can you buy with $12?

larisa86 [58]

Answer:

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Step-by-step explanation:

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3 years ago

Solve and check the linear equation. 3(x-2) + 8 = 2(x + 5)

ANEK [815]

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3(x - 2) + 8 = 2(x + 5)

Step 2: Solve for x

(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10
Combine like terms: 3x + 2 = 2x + 10
{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10
[Subtraction Property of Equality] Subtract 2 on both sides: x = 8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)
(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)
Multiply: 18 + 8 = 26
Add: 26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

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2 years ago