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2 years ago

What is measure of arc PO? 128° 173° 192° 256°

Mathematics

2 answers:

MakcuM [25]2 years ago

5 0

The measure of arc PO is 173 degrees

SSSSS [86.1K]2 years ago

5 0

The answer is 173 degrees

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Prove each statement that is true and ﬁnd a counterexample for each statement that is false. Assume all sets are subsets of a un

tekilochka [14]

Answer with Step-by-step explanation:

We are given that A, B and C are subsets of universal set U.

We have to prove that

$A\cap (B-C)=(A\cap B)-(A\cap C)$

Proof:

Let x $\in A\cap (B-C)$

Then $x\in A$ and $x\in(B-C)$

When $x\in ( B-C)$ then $x\in B$ but $x\notin C$

Therefore, $x\in( A\cap B)$ but $x\notin (A\cap C)$

Hence, it is true.

Conversely , Let $x\in(A\cap B)$ but $x\notin(A\cap C)$

Then $x\in A$ and $x\in B$

When $x\notin ( A\cap C)$ then $x\notin C$

Therefor, $x\in A\cap (B-C)$

Hence, the statement is true.

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2 years ago

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murzikaleks [220]

Answer: True

Step-by-step explanation:

Cost = 15 + 3t

22.5 = 15 + 3(2.5)

22.5 = 15 + 7.5

22.5 = 22.5 <— true

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2 years ago

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In XYZ, mX=90 and mY=30.In TUV,mU= 30 and mV=60. Which is true about the two triangles? XYZ=TUV, XYZ= VUT,No congruency statemen

Flauer [41]

Answer:

No congruency statement can be made because the side length are unknown.

Step-by-step explanation:

The sum of the measures of all interior angles in a triangle is always 180°.

In triangle XYZ,

$m\angle X=90^{\circ}\\ \\m\angle Y=30^{\circ},$

then

$m\angle X+m\angle Y+m\angle Z=180^{\circ}\Rightarrow m\angle Z=180^{\circ}-90^{\circ}-30^{\circ}=60^{\circ}$

In triangle TUV,

$m\angle U=30^{\circ}\\\\m\angle V=60^{\circ},$

then

$m\angle T+m\angle U+m\angle V=180^{\circ}\Rightarrow m\angle T=180^{\circ}-30^{\circ}-60^{\circ}=90^{\circ}$

We have two triangles with congruent angles but we have no information about side lengths. Therefore, can not be made because the side length are unknown. Correct option is last option.

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3 years ago

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Solve for m and show your work. 4n=3m-1

Bad White [126]

4n = 3m - 1

4n = 3m - 1
Subtract 3m from both sides.
-3m + 4n = -1
Subtract 4n from both sides.
-3m = -4n - 1
Divide both sides by -3.
m = 4/3n + 1/3

m = 4/3n + 1/3

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3 years ago

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Solve the inequality 11d - 9 < 15d + 3

Yanka [14]

$11d - 9 < 15d + 3\\
-4d-3$

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3 years ago