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3 years ago

Solve the system of equations by substitution. What is the solution for x?

1 answer:

4 0

2x+y=1
4x+2y=-2

Solve by substitution:
y=1-2x

Plug in (1-2x) for y:
4x+2(1-2x)=-2
4x+2-4x=-2
2=-2
No solutions

The answer is C) no solutions

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Question 28: Please help, which pairs of angles could she have used?

TiliK225 [7]

The answer is A because opposite angles are the same. Therefore, 1 and 2 are congruent because their angle sizes are exactly the same.

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3 years ago

Suppose m is the line with equation y = −4 and ΔA'B'C is mapped to ΔA"B"C" by applying the glide reflection T3, 0 Rm.

balandron [24]

Answer:

The coordinates of ΔA''B''C'' are;

A''(-1, -3), B''(-2, -6), C''(1 , -7)

Step-by-step explanation:

A glide reflection involves the reflection of the preimage over a given line, followed by the translation of the resulting image along the given line

Given that the coordinates of the triangle ΔA'B'C' are;

A'(-4, -5), B'(-5, -2), C'(-2, -1), we have by reflection across the line y = -4

A''(-4, -4 + 1) = A''(-4, -3)

B''(-5, -4 - 2) = B''(-5, -6)

C''(-2, -4-3) = C''(-2, -7)

Translation of A''B''C'' by T 3, 0, we have;

A''(-4, -3) → T₃, ₀ → A''(-4 + 3, -3) = A''(-1, -3)

B''(-5, -6) → T₃, ₀ → B''(-5 + 3, -6) = B''(-2, -6)

C''(-2, -7) → T₃, ₀ → C''(-2 + 3, -7) = C''(1 , -7)

The coordinates of ΔA''B''C'' are therefore;

A''(-1, -3), B''(-2, -6), C''(1 , -7).

5 0

3 years ago

A rectangle has a perimeter of 42ft, it's length is 3ft more than twice it's width, great an equation for the perimeter of the r

Zarrin [17]

4(3+2x)=42 For the perimeter

6 0

3 years ago

How to expand 129,982

Elza [17]

Step-by-step explanation:

1×100000+2×10000+9×1000+9×100+8×10+2×1

=100000+20000+9000+900+80+2

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2 years ago

Samantha purchased dinner at a restaurant and spent $38 on food and beverages. Her sales tax was 7%. How much will Samantha pay

Rama09 [41]

Given:

Samantha purchased dinner at a restaurant and spent $38 on food and beverages.

Rate of sales tax = 7%

To find:

How much will Samantha pay for sales tax in dollars and cents?

Solution:

Amount spent on food and beverages = $38

Rate of sales tax = 7%

Sales tax = 7% of $38

$\text{Sales tax}=\dfrac{7}{100}\times 38$

$\text{Sales tax}=\dfrac{266}{100}$

$\text{Sales tax}=2.66$

Therefore, the sales tax is $2.66.

5 0

3 years ago