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Gemiola [76]
3 years ago
8

∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 3 x − 21 ) ∘ ∠A=(3x−21) ∘ and m ∠ B = ( 2 x − 13 ) ∘ ∠B=(2x−13) ∘ , then find th

e value of x.
Mathematics
1 answer:
Sav [38]3 years ago
3 0

Answer:

x=8

Step-by-step explanation:

start by setting angle a equal to angle b

next add 21 to the opposite side

then subtract 2x from the opposite side

finally you're left with x=8

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The measure of the supplement of an angle is 84° less than the measure of the angle. Find the measures of the angles
babunello [35]

Let the measure of angle be 'x'

Since, the measure of the supplement of an angle is 84° less than the measure of the angle.

Therefore, measure of supplement of x = x - 84°

The measure of two supplementary angles is 180 degrees.

x + x -84^\circ = 180^\circ

2x -84^\circ = 180^\circ

2x =84^\circ + 180^\circ

2x =264^\circ

x =132^\circ

So, the measure of angle =x =132^\circ

Its supplement = x - 84°  = 132°  - 84°

=  48°

So, the measure of supplement of angle is 48 degrees.

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Answer: 0.14

Step-by-step explanation:

1) Find the total #of seniors. To do this add up 25+5+5 = 35.

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On story Ratios Worksheet 3: how do you do this problem. Jackie sold lemonade and made $24 while Liana sold lemonade and made $3
Drupady [299]

Answer:

Ratios of money made by Jackie and Liana = \frac{2}{3}

Step-by-step explanation:

We have given,

On selling a lemonade :

Money made by Jackie = $24

Money made by Liana = $36

We need to find the ratios of money made by Jackie and Liana by selling lemonade.

So, Ratio  = Money made by Jackie / Money made by Liana

or  , Ratio = \frac{24}{36}

or, Ratio = \frac{2}{3}

So, the ratios of money made by Jackie and Liana is \frac{2}{3}

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3 years ago
A lent B rs 32500 to purchase a car at 12.5% p.A
LiRa [457]

Answer:

6,483.75

Step-by-step explanation:

Calculation to find the interest paid by B after 3/2 year

First step is to calculate the Compound interest amountUsing this formula

Interest paid= P(1 + r/100)^Time

Where,

P represent principal=32,500

r represent Rate of interest = 12.5%/2 = 6.25%

T represent Time=3/2 years

Let plug in the formula

Compound interest amount= 32,500(1 + 6.25/100)^2*3/2

Compound interest amount= 32,500([1+.0625)^3

Compound interest amount= 32,500(1.0625)^3

Compound interest amount= 32,500 *1.1995

Compound interest amount= 38,983.75

Now let calculate the Interest paid by B

Interest paid by B = 38,983.75 - 32,500

Interest paid by B = 6,483.75

Therefore the interest paid by B after 3/2 year will be 6,483.75

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3 years ago
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