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3 years ago

What is the measure of angle S? A. 27° B. 58° C. 95° D. 180°

Mathematics

2 answers:

matrenka [14]3 years ago

4 0

Answer:

A. 27°

Step-by-step explanation:

triangle PST is congruent to triangle LKR

<S corresponds to <K.

m<S = m<K = 27°

CaHeK987 [17]3 years ago

3 0

Step-by-step explanation:

angle tsp=angle rkp=27°

angle S=360-27°

angle S=333°

Please mark me as brainliest

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PLEASE HELP WILL MARK BRAINLIEST

vodomira [7]

Answer:

The angles are 54 2/3 degrees and 115 1/3 degrees

Step-by-step explanation:

make an equation for the angles x being one angle and y being the other

16+ 2x =y

Supplementary angles add to 180

x + y = 180

Fill in y with the first equation

x + 16 +2x =180

simplify

3x +16 =180

subtract 16 from both sides

3x = 164

divide both sides by 3

x = 54 2/3

Insert the value of x into the first equation then simplify

16 + 2(54 2/3) =y

16 + 109 1/3 =y

115 1/3 =y

8 0

2 years ago

Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte

Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time( $T_{1}$ )=4 years

Time( $T_{2}$ )=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

$S.I=\frac{P\times R\times T}{100}$

$S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800$

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

$A=P*(1+\frac{R}{100})^t$

$A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60$

$A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286$

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years when interest is compounded annually=$ 9034(approx)

4 0

3 years ago

Read 2 more answers

I would greatly appreciate if anyone could show me how to complete this problem.

Naya [18.7K]

Answer:

the best way to solve this is to have graph paper, so your numbers and points align. I have a model attached. the first point is hours slept 8. so on your graph go to 8 then across to 83, which is the test score. make a mark to represent this point. do this for all and it will create a line

4 0

2 years ago

What is the missing length??

amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

$(15 + x) : (12 + 8) = x : 8$

$15 + x : 20= x : 8$

Convert to fraction

$\frac{15 + x}{20} = \frac{x}{8}$

Cross Multiply:

$(15 + x)*8 = 20 * x$

$120 + 8x = 20x$

Collect Like Terms

$20x - 8x = 120$

$12x = 120$

Solve for x

$x = \frac{120}{10}$

$x = 10$

<em>The length of the missing side is 10</em>

4 0

3 years ago

Two equations are shown in the picture please answer. giving brainiest

Dvinal [7]

Answer:well for the first one I am not sure but I think that since four is over the x there should be 4/x + 3 so tragically I don’t know the answer but I think it should be 12 the x should be 12 because 4x3=12 so yea 12

Step-by-step explanation:and for the other one I don’t know but ima try it should be two because 2x2=4 and so y=1-2x2-4 that’s what I think sorry. I got it wrong and do good on your test for me please

6 0

2 years ago