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Dmitry [639]
3 years ago
7

Given: ∠6≅∠7 Prove: ∠5≅∠8

Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Answer:

Step-by-step explanation:

angle 6 ang angle 7 congruent (equal to ) because they are alternate interior angles and alternate interior angles are always equal.

angle 6 and angle 5 are congruent(equal to )  because they are vertically opposite angles and vertically opposite angles are always equal.

angle 7 and angle 8 are congrunt (equal ) because they are veritically opposite angles angd vertically opposite angles are always equal.

angle 5 and angle 8 are congruent(equal ) because they are alternate exterior angles and alternate exterior angles are also always equal.

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velikii [3]
The answer is 372.11.
4 0
3 years ago
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Write the standard form of the equation of the line described.
Vitek1552 [10]
The first line equation: y = -2/7x - 5; m1 = -7/2
The second line passes through (2,4) and is perpendicular to the first line.

Therefore,
The gradient of first line = -1/m1 = -1/(-2/7) = 7/2

Then, the equation of the  second line is;
y = 7/2x+b

Substituting for the coordinates given;
4 = 7/2(2)+b
4 = 7+b
b = 4-7 = -3

Therefore, the equation of the second line is;
y = 7/2x - 3

In standard form, the equation this equation can be written as:
y(2) = 7x - 3(2)
2y = 7x - 6
7x -2y - 6 = 0 -----> standard form.
8 0
4 years ago
A beanie hat is to be made from a piece of fabric
Mariulka [41]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Given f(x) = 2x + 1, find the range value if the domain value is 1.75.
MAXImum [283]

Given:

The function is

f(x)=2x+1

To find:

The range value if the domain value is 1.75.

Solution:

Domain is the set of input values and range is the set of output values.

Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.

Substitute x=1.75 in the given function.

f(1.75)=2(1.75)+1

f(1.75)=3.5+1

f(1.75)=4.5

Therefore, the required range value is 4.5.

4 0
3 years ago
A math book at Housatonic Community College cost the bookstore $84 to purchase. They sell it for $126. What percent markup did t
djverab [1.8K]
The markup is 150%

126/84= 1.5
1.5 x 100 = 150%

Proof : 1.5 x 84 =126
7 0
3 years ago
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