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2 years ago

-2(t+7)=-4t+12 what is the value of t

Mathematics

1 answer:

aniked [119]2 years ago

3 0

9514 1404 393

Answer:

Step-by-step explanation:

-2(t +7) = -4t +12

t +7 = 2t -6 . . . . . . . divide by -2

13 = t . . . . . . . . . . . . add 6-t

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In the figure, AB is parallel to CD, XY is the perpendicular bisector of AB, and E is the midpoint of XY. Prove that △AEB ≅ △DEC

Makovka662 [10]

Answer:

From top to bottom:

A, J, E, B, I, C, D, G, F, H

See below for more clarification.

Step-by-step explanation:

We are given that AB is parallel to CD, XY is the perpendicular bisector of AB, and E is the midpoint of XY. And we want to prove that ΔAEB ≅ ΔDEC.

Statements:

1) XY is perpendicular to AB.

Definition of perpendicular bisector.

2) XY ⊥ CD.

In a plane, if a transveral is perpendicular to one of the two parallel lines, then it is perpendicular to the other.

3) m∠AXE = 90°, m∠DYE = 90°.

Definition of perpendicular lines.

4) ∠AXE ≅ ∠DYE.

Right angles are congruent.

5) XE ≅ YE

Definition of a midpoint.

6) ∠A ≅ ∠D.

Alternate Interior Angles Theorem

7) ΔAEX ≅ ΔDEY

AAS Triangle Congruence*

(*∠A ≅ ∠D, ∠AXE ≅ ∠DYE, and XE ≅ YE)

8) AE ≅ DE

Corresponding parts of congruent triangles are congruent (CPCTC).

9) ∠AEB ≅ ∠DEC

Vertical Angles Theorem

10) ΔAEB ≅ ΔDEC

ASA Triangle Congruence**

(**∠A ≅ ∠D, AE ≅ DE, and ∠AEB ≅ ∠DEC)

3 0

2 years ago

Write an equation for the line that is parallel to y =<br>-2x and passes through the point (0, -7).

crimeas [40]

Answer:

y=-2x-7

Step-by-step explanation:

y=-2x

y-y1=m(x-x1)

y-(-7)=-2(x-0)

y+7=-2(x)

y+7=-2x

y=-2x-7

4 0

2 years ago

A store sells 4 main types of chocolate bars milk chocolate dark chocolate white chocolate and hazelnut chocolate the store empl

sergij07 [2.7K]

Hi there! The answer is A. 252

To find the percentage of the customers who preferred the milk chocolate bar we need to know two things:

First we need to know the total amount of customers, which is 50.
Second we need to know how many of these customers preferred the milk chocolate bar. This bar is preferred by 28 people.

Now we can fill in the following formula, in order to find our percentage:
$\% = \frac{part}{total} \times 100 \% = \frac{28}{50} \times 100 \% = 0.56 \times 100 \% = 56 \%$

Now we can multiply this percentage by the total amount of chocolate bars which will be bought (which is 450).
$56 \% \times 450 = 0.56 \times 450 = 252$

Hence, the answer is A. 252
~ Hope this helps you!

7 0

2 years ago

Please explain how to do it I know the answer is 30%

Andrews [41]

To find this percentage, it will make it easier if it is worded differently. Put it "15 is what percent of 50?"

To find the percentage, simply divide 15 by 50 then multiply that quotient by 100.

15 / 50 = 0.3

0.3 x 100 = 30 = 30%

8 0

2 years ago

A company determines that its marginal revenue per day is given by R' ( t ) , where R ( t ) is the total accumulated revenue, in

DedPeter [7]

Answer:

Step-by-step explanation:

Total profit function is equal to Total revenue function minus Total Cost function.

To get both Revenue function and Cost function, integrate the Marginal functions as follows:

R(t) = 108.7312t^2

Where 80et = 217.4624t

(e =2.71828)

C(t) = 80t - 0.4t^2

P(t) = R(t) - C(t) = 109.1312t^2 - 80t

When t=0, P=0

When t=1, P=29.1312

When t=2, P=276.5248

When t=3, P=742.1808

And so on ...

Summing the daily profits, total profit for the 10 days is 37,615.512 dollars which equals 3,761551.2 cents

(B)

Average daily profit for the first 10 days (in dollars) is 37,615.512÷10 = 3,761.5512 dollars

= 376,155.12 cents

3 0

2 years ago