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2 years ago

Which two angles in the figure are obtuse angles?

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

4 0

Answer: C. ∠SQP and ∠TQR

Step-by-step explanation:

Since, by the given diagram,

m∠TQR = m∠SQP (vertical angles)

And, m∠TQP < m∠TQR

By adding ∠TQR on both sides,

m∠TQP + m∠TQR < m∠TQR+m∠TQR

⇒m∠TQP + m∠TQR < 2 ∠TQR

⇒ 180° < 2 m∠TQR ( Because ∠TQP and ∠TQR are linear angles)

⇒ 90° < m∠TQR

Hence ∠TQR is a obtuse angle,

⇒ ∠SQP also is a obtuse angle.

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2 years ago

A can of soup contains 1 1/4 cups. A serving is 1/2 of a cup. How many servings are in the

Bogdan [553]

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2 years ago

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

makkiz [27]

Step-by-step explanation:

Hey, there!!

Here, one point is A(10,8) and P(8,5) is the midpoint.

Let B(x,y) be the another end point.

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Using midpoint formulae,

$p(x.y) = \frac{x1 + x2}{2} . \frac{y1 + y2}{2}$

$p(8.5) = ( \frac{10 + x}{2} . \frac{8 + y}{2} )$

Since they are equal,equating with their corresponding elements we get,

$8 = \frac{10 + x}{2}$

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3 years ago

A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The functio

Illusion [34]

Answer:

$s\geq 23$

Step-by-step explanation:

We are given that a student needs to make a square cardboard piece.

Perimeter of cardboard should be equal to atleast 92 inches

We have to find that which shows reasonable domain for f(s)

Let s be the side of square cardboard

We know that perimeter of square =f(s=) $4\times side$

Then, perimeter of cardboard= $4s$

$4s\geq 92$

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$s\geq 23$

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Answer:d: $s\geq 23$

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3 years ago

Simone has 20 bills. One fifth of the bills are hundreds, 1/4 of them are fifties, 1/10 of them are $20s. The rest of the bills

larisa [96]

If Simone has 20 bills, then:

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1/4 of 20 = 5 [fifites]
1/10 of 20 = 2 [$20s]

4 * 100 + 5 * 50 + 2 * 20 = 400 + 250 + 40 = 690 [out of $780]
4 + 5 + 2 = 11 [out of 20 bills]

So now we can easily find out she had 9 bills of tens - because 20 - 11 = 9 or because (780 - 690) ÷ 10 = 90 ÷ 10 = 9.

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3 years ago