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MArishka [77]
3 years ago
9

Solve the proportion 2/19 = x/152

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0
The answer would be, x = 16
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Greg drove 386 miles and used 20 gallons of gas.His car averaged how many miles per gallon?
frutty [35]
386 divided by 20 is 19.3 so Greg averaged 19.3 miles per gallon.
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3 years ago
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the riches are ordering topsoil for their new lawn. the topsoil will be spread evenly over the yard before the grass is planted
Alexus [3.1K]
81ft(yd/3ft)*111ft(yd/3ft)*2in(yd/36in)=55.5 yd^3

So 55 1/2 cubic yards of topsoil are needed.
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3 years ago
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Use the given information to prove that RSU=TSV
RoseWind [281]

Answer:

Statement,                                                        Reason

Given segment RV = segment TU,                 Given  

m∠R = m∠T,                                                      Given

Segment RS ≅ segment ST,                            Base angles theorem

ΔRSV ≅ ΔTSU,                                                 SAS rule of congruency

Segment SV ≅ segment SU,                          CPCTC

VU ≅ UV,                                                          Reflexive property

RU = RV + VU, TV = TU + UV,                          Addition of segments

RV + VU ≅ TU + UV,                                         Addition property of equality

RU ≅ TV,                                                           Transitive property of addition

ΔRSU ≅ ΔTSV,                                                  SSS rule of congruency

Step-by-step explanation:

Where:

SAS- Side Angle Side

CPCTC -Congruent Parts of Congruent Triangles are Congruent

SSS -Side Side Side

3 0
3 years ago
Please solve the following sum or difference identity.
xxTIMURxx [149]

Answer:

sin(A - B) = \frac{4}{5}

Step-by-step explanation:

Given:

sin(A) = \frac{24}{25}

sin(B) = -\frac{4}{5}

Need:

sin(A - B)

First, let's look at the identities:

sum: sin(A + B) = sinAcosB + cosAsinB

difference: sin(A - B) = sinAcosB - cosAsinB

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = \frac{24}{25}

cos(A) = \frac{7}{25}

sin(B) = -\frac{4}{5}

cos(B) = \frac{3}{5}

Plug these values into the difference identity formula.

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})

Multiply.

sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})

Add.

sin(A - B) = \frac{4}{5}

This is your answer.

Hope this helps!

6 0
3 years ago
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17. Anna is 157.5 centimeters tall and her
Alinara [238K]
15.26 mm. All you gotta do is convert the millimeters to centimeters, and that subtract. Make sure the decimal point is right, tho. :)
5 0
2 years ago
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