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4 years ago

Which statements about the figure are true? Select two options.

Mathematics

2 answers:

harina [27]4 years ago

6 0

<u>Complete Question</u>

The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6. Which statements about the figure are true?

Answer:

(B)TU ≅ TS

(D)The length of line segment PR is 13 units.

Step-by-step explanation:

The diagram of the question is drawn for more understanding,

The theorem applied to this problem is that of tangents. All tangents drawn to a circle from the same point are equal.

Therefore:

|PQ|=|PU|=8 Units

|ST|=|UT| =6 Units

|RS|=|RQ|=5 Units

(b)From the above, TU ≅ TS

(d)Line Segment |PR|=|PQ|+|QR|=8+5=`13 Units

Nastasia [14]4 years ago

3 0

Answer:

Step-by-step explanation:

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Joseph had started saving quarters,dimes,nickel and penny but is unable to give the

Sladkaya [172]

Answer:

$3.49

12 quarters,4 dimes,1 nickle, 4 pennies

Step-by-step explanation:

First remember that;

Quarter=25 pennies

Dime=10 pennies

Nickel =4 pennies

I cent =0.01$

Given the amount as $3.50

Assume you use 4 quarters, this means a whole dollar, so it will be;

1 dollar = 4quarters

3 dollars=?

cross multiply

3×4=12 quarters

The remaining $0.49

Here identify 40 cents, which is 40 pennies

But 10 pennies=1 dime

so 40 pennies=?

cross-multiply

(40×1)÷10=4 dimes

and a nickel for 4 pennies.

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4 years ago

Reggie invests $12,000, part at 7% annual interest and part at 8.5% annual interest. how much is invested at each rate if reggie

Vika [28.1K]

Let us say that:

x = invested at 7%

y = invested at 8.5%

and that:

We can also say that:

0.07 x + 0.085 y = 900

Therefore:

0.07 x + 0.085 (12000 – x) = 900

0.07 x + 1020 – 0.085 x = 900

- 0.015 x = -120

x = $8000

so y is:

y = 12000 – 8000

y = $4,000

$8000 is invested at 7% annual interest while $4000 is invested at 8.5%

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4 years ago

Can someone average this out for me and for the term test I made a 36

Mars2501 [29]

Answer: 70.77 or 71 if rounded up

Step-by-step explanation:

Add all the scores then divide to 18.

8 0

3 years ago

Read 2 more answers

HELPP!!!!

Snowcat [4.5K]

It’s 2 and easy thank you have nice hope u have fun

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3 years ago

Chelsea is solving a quadratic equation. She wants to find the value of x by taking the

kompoz [17]

Step-by-step explanation:Step-by-step explanation:

For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:

(x + a) ² = b

'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.

So, she can take square roots of both sides then, like this

√(x + a)² = √b

x + a = ±√b

x = -a ± √b

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It is the nature of the problem being solved that determines if we take just one or both of these answers.

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3 years ago