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Korolek [52]
3 years ago
13

In parallelogram ABCD , ∠A and ∠B are adjacent. The measure of ∠B is two times the measure of ∠A . Which equation gives the exac

t measure of ∠A ?
Mathematics
1 answer:
Alex787 [66]3 years ago
4 0
<span>A = 2 * B - 30
in a parallelogram, opposite angles are equal.
sum of the angles in a parallelogram is 360 degrees.
this means that 2A + 2B = 360.
divide both sides of this equation by 2 to get:
A + B = 180. </span>
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4x - 2<br> What is BC ?<br> Enter your answer in the box.<br> 8x - 4<br> 5x + 11<br> units
arsen [322]
Is there a picture of the shape, and is 4x - 2 AC or AB?
7 0
3 years ago
When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
oksian1 [2.3K]

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

4 0
2 years ago
Someone please help me on this I'm unsure if my answer is correct
mafiozo [28]

Answer:

A. length = 23 cm; width = 5 cm

Step-by-step explanation:

So if 4 times the width would be 4w and 3 more than would be + 3, the equation would be l = 4w + 3. If the perimeter is 56, then the new equation, 2(4w + 3) + 2(w) = 56 can be formed. This simplifies to 8w + 6 + 2w = 56, then to 10w + 6 = 56, then to 10w = 50, and finally, w = 5. So the width is 5, and now plug it into the first equation.

l = 4(5) + 3, becomes l = 20 + 3, becomes l = 23.

So the dimensions are: length = 23 cm, width = 5 cm.

*And just to be sure, 2(23 + 5) = 2(28) = 56 which is correct.

4 0
2 years ago
The Monthly Bank pays 3 percent interest, compounded monthly, on their savings accounts. The Daily Bank pays 3 percent interest,
Novosadov [1.4K]

Answer:

The amount that we should deposit in each bank is around $942.

Step-by-step explanation:

Case 1:

A=$1000

n = 12

t = 2

r = 3% or 0.03

p = ?

The compound interest formula is :

A=p(1+\frac{r}{n})^{nt}

Substituting values in the formula;

1000=p(1+\frac{0.03}{12})^{12\times2}

=> 1000=p(1.0025)^{24}

=> 1000=1.06175p

p=\frac{1000}{1.06175}

p = $941.84

Case 2:

A=$1000

n = 365

t = 2

r = 3% or 0.03

p = ?

1000=p(1+\frac{0.03}{365})^{365\times2}

=> 1000=p(1.0000822)^{730}

=> 1000=1.06184p

p=\frac{1000}{1.06184}

p = $941.76

The amount that we should deposit in each bank is around $942.

5 0
2 years ago
Read 2 more answers
Jacob wants to use an elevator to carry identical packages having the same weight. Each package weighs 3 pounds and Jacob weighs
zimovet [89]

Answer:

Your answer is B

Step-by-step explanation:

Take 300 and subtract it by 99 you'll get 201

3 times 67 is 201

Which is why your answer is B!




Hope this helps! -Queenb369


(P.S, If you could give me the brainlist if i'm right, that will be great thanks!)


6 0
3 years ago
Read 2 more answers
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