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harkovskaia [24]
3 years ago
15

Which of the following statements is true about the three quadrilaterals?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0
A. D and E are similar but not congruent.
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On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line th
Novay_Z [31]

Answer:

y=3x-5

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(-3,2) and (0,1)

The slope m is

m=(1-2)/(0+3)=-1/3

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)

so

The slope is

m=3

step 3

Find the equation of the line in point slope form

we have

m=3

point(3,4)

y-4=3(x-3) ----> equation in point slope form

Convert to slope intercept form

y=3x-9+4

y=3x-5

6 0
3 years ago
Read 2 more answers
Determine and state the vertex of f(x) = x2 - 2x - 8 using the method of completing the square
Elza [17]

Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 2x - 8

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² - 2x

f(x) = x² + 2(- 1)x + 1 - 1 - 8

     = (x - 1)² - 9 ← in vertex form

with vertex = (1, - 9 )

3 0
3 years ago
In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of
Roman55 [17]
Given:
1st letter : 2.9 ounces
2nd letter: 4.1 ounces

f(1) = 0.42 + 0.20(x-1)
f(1) = 0.42 + 0.20(2.9-1)
f(1) = 0.42 + 0.20(1.9)
f(1) = 0.42 + 0.38
f(1) = 0.80

f(2) = 0.42 + 0.20(4.1-1)
f(2) = 0.42 + 0.20(3.1)
f(2) = 0.42 + 0.62
f(2) = 1.04

0.80 + 1.04 = 1.84 last choice
7 0
3 years ago
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Need help its due today
Leokris [45]

Answer:

Please provide the picture of the question, as most people don't open the links

Step-by-step explanation:

3 0
3 years ago
What is the area of this trapezoid?
navik [9.2K]

Answer:

A = 32

Step-by-step explanation:

A = ½ (a + b) h

A = ½ (3 + 10) 4

A = (3+5)4

A = (8)4

A = 32

8 0
3 years ago
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