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Black_prince [1.1K]
2 years ago
5

ABCD is a parallelogram. Solve for BC. B X + 8 с A 2x +1 D BC =

Mathematics
1 answer:
Arturiano [62]2 years ago
7 0

Step-by-step explanation:

BC = AD (opposite sides in parallelogram is equal)

x + 8 = 2x + 1

8 - 1 = 2x - x

7 = x

x = 7

BC = x + 8 = 7 + 8 = 15

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SOVA2 [1]

Answer:28

Step-by-step explanation:

3 0
3 years ago
How did we transform from the parent function? g(x) = -1/5(x - 1)² + 7
Naya [18.7K]

Answer:

Horizontal shift to the right

Vertical compression

Reflection across the x axis

Vertical shift up

Step-by-step explanation:

Given that the parent function was g(x)=x^2

we notice the following transformations:

a) a horizontal shift to the right in 1 (one) unit rendering: g(x)=(x-1)^2

b) a vertical compression by multiplying our function by a number smaller than 1 ( \frac{1}{5} ), rendering: g(x)=\frac{1}{5} (x-1)^2

c) a reflection across the x-axis by flipping the sign of the function and rendering: g(x)=-\frac{1}{5} (x-1)^2

d) a vertical shift of 7 units up thus giving finally: g(x)=-\frac{1}{5} (x-1)^2+7

6 0
3 years ago
What is the missing justification?
frozen [14]

Answer:

Option A is correct.

The missing justification is: Transitive property

Step-by-step explanation:

Given:  \angle A \cong \angle B ,   \angle C \cong \angle B

Symmetric property of equality states the if for all real values of x , y

if x =y then, y =x.

Then, by symmetric property of equality:

we can write  \angle C \cong \angle B as

\angle B \cong \angle C

Transitive property of equality states that if we have the two things that are equal to each other and the second thing is equal to a third thing.

i.e, if a =b and b =c

then a =c

By transitive property of equality:

if  \angle A \cong \angle B and \angle B \cong \angle C

then;

\angle A \cong \angle C                      ......[1]

Congruent angle states that the angles have exact the same measure

Therefore, by definition of congruent angles in [1] we have;

m\angle A = m \angle C

4 0
3 years ago
Read 2 more answers
A football team ran four plays. The first play lost 5 yards. The second play lost 9 yards. The third play gained 12 yards. The l
Flura [38]

Answer:

-10

Step-by-step explanation:

To find the the total gain or loss of yards, use an integer expression to write each play.

1st play = -5

2nd play = -9

3rd play = 12

4th play = -8

The expression is -5 + -9 + 12 + -8

                                -14 + 12 + -8

                                    -2 + -8

                                       -10

3 0
3 years ago
If the graph of the function f defined by f(x)= −2x^2+1 is translated vertically downward by 3 units, it becomes the graph of a
Katena32 [7]

Answer:

  h(x) = -2x^2 -2

Step-by-step explanation:

You know that translating the point (a, b) vertically downward by 3 units will make it be the point (a, b-3).

The same translation works on the point (x, f(x)), or when a=x and b=f(x). Translated downward by 3 units, the point becomes ...

  (x, f(x) -3)

You want to name this (x, h(x)), so we have ...

  h(x) = f(x) -3

  h(x) = -2x^2 +1 -3 . . . substitute the expression for f(x)

  h(x) = -2x^2 -2 . . . . . simplify

7 0
4 years ago
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