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2 years ago

8

Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that lines BC and EF have the opposite an

d reciprocal slopes. You must show all of your work to receive credit.

1 answer:

denis-greek [22]2 years ago

5 0

The correct answer is acute.

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6a+ -12a plz explain (a=1/2) I don't know evaluating expressions

Marianna [84]

Plug in the 1/2 where the a’s are answer is -3

7 0

3 years ago

In a recent student government election, the ratio of students who voted for the winner to all the students who voted was 0.55

Temka [501]

The ratio being 0.55 means 55% of students voted for the person who ended up winning. If there were 40 people who voted, just find 55% of 40.
This is done by 0.55 • 40, which equals 22.
So 22 students voted for the person who ended up winning.

3 0

4 years ago

Read 2 more answers

Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?

damaskus [11]

Answer:

f(x)= (x+8)^2 + 200

Step-by-step explanation:

-b/2a gives you the x coordinate of the vertex and then plug it in for x to get the y coordinate. Put it in the formula (f()x= (x-h)^2 +k).

H is the x coordinate and K is the y coordinate

6 0

4 years ago

B. has 15 marbles and he got 123 more marbles add those two numbers and see what the number rounds to.

olganol [36]

Answer:

100 if rounded to hundreds

140 if rounded to tens

Step-by-step explanation:

7 0

4 years ago

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time

Nana76 [90]

Answer:

Jenny save 4 times $\$ 250$ for the month

Step-by-step explanation:

Given Jenny has saved $\$3,800$ over the last 12 months.

She saved either $\$250$ or $\$350$ a month.

Let the number of months to save $\$250$ be x

Let the number of months to save $\$350$ be y

Total period is 12 month.

$x+y=12 \ \ \ \ equation\ 1$

Jenny has saved $3,800 over the last 12 months.

$250x+350y=3800$

Dividing both side from 50 we get,

$\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}$

$5x+7y=76 \ \ \ \ equation\ 2$

Now Multiplying equation 1 by 5 we get,

$5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3$

Now Subtracting Equation 3 by equation 2 we get,

$(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8$

Substituting the value of y in equation 1 we get,

$x+y=12\\x+8=12\\x=12-8\\x=4$

∴ Jenny save 4 Months of $\$ 250$ and 8 Months of $\$ 350$ in a 12 month duration

4 0

3 years ago

Read 2 more answers