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Sphinxa [80]
3 years ago
14

The following diagram shows parallel lines cut be a transversal. What is the measure of Angle 2?

Mathematics
1 answer:
Crank3 years ago
3 0
2x + 100 = 5x + 55
3x = 45
x = 15

2(15) + 100 = 130

180-130 = 50

so angle 2 is 50 degrees

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Marsha has budgeted no more than $3,000 on centerpieces for the tables at the reception, which inequality represents all possibl
Black_prince [1.1K]

Answer:

x+y\leq 3000

Step-by-step explanation:

Given : Marsha has budgeted no more than $3,000 on centerpieces for the tables

x denotes the number of Guest Tables Lily Arrangements

y denotes the number of Family Table Rose Arrangements

To Find: Which inequality represents all possible combinations of x,  and y,  that Marsha can buy for no more than $3,000?

Solution :

Since there are x number of Guest Tables Lily Arrangements.

And there are y  number of Family Table Rose Arrangements

Since she cannot spend more than 3000 on centerpieces .

So, the inequality becomes:

x+y\leq 3000

Hence inequality represents all possible combinations of x and y that Marsha can buy for no more than $3,000:

x+y\leq 3000

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3 years ago
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Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 3, 6, \sqrt
dlinn [17]

Answer:

A, B and C

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths  of a right triangle must satisfy the <u>Pythagorean Theorem. </u>

Pythagorean Theorem: Hypotenuse^2=Opposite^2+Adjacent^2

<u>Option A:</u> 3, 6, \sqrt{45}

(\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45

True

<u>Option B:</u> 2.5, 6, 6.5

6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)

<u>Option C:</u> 4, 8, \sqrt{80}

4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)

Since all are true, the side lengths in Options A, B and C forms a right triangle,

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nikdorinn [45]
X is equal to 8
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3 years ago
Simplify the expression.<br> - (m<br> m + 3n - 13)
natulia [17]

Answer:

=  -  {m}^{2}  - 3n + 13

Step-by-step explanation:

- (m \times m + 3n - 13)

m \times m =  {m}^{1}  \times m

{m}^{1}  \times  {m}^{1}  =  {m}^{1 + 1} =  {m}^{2}

- ( {m}^{2}  + 3n - 13)

=  -  {m}^{2}  - 3n + 13

7 0
3 years ago
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