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3 years ago

Find the measurement of angle g.

Mathematics

1 answer:

Dafna1 [17]3 years ago

4 0

Answer:

G = 110

Step-by-step explanation:

The figure is a quadrilateral, which means the sum of the angles is 360

We know that angle E and G are the same

100+40 + E + G =360

Combine like terms

140 +E+G = 360

Replace E with G since we are looking for G

140 + G + G = 360

140 +2G = 360

Subtract 140 from each side

140-140+2G=360-140

2G = 220

Divide by 2

2G/2 =220/2

G = 110

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lbvjy [14]

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3 years ago

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Step-by-step explanation:

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3 years ago

Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)

Gekata [30.6K]

Answer:

The pentagon MNPQR has a perimeter of 22 units.

Step-by-step explanation:

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

$p = MN + NP + PQ + QR + RM$ (1)

$p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}$ (1b)

If we know that $M(x,y) = (2,4)$ , $N(x,y) = (5,8)$ , $P(x,y) = (8,4)$ , $Q(x,y) = (8,1)$ and $R(x,y) = (2,1)$ , then the perimeter of the pentagon MNPQR is:

$p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}$ $p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}$

$p = 22$

The pentagon MNPQR has a perimeter of 22 units.

4 0

3 years ago

How do you factor x squared minus 100

Alina [70]

Answer:

(x - 10)(x + 10)

Step-by-step explanation:

x² - 100 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Hence

x² - 100

= x² - 10² = (x - 10)(x + 10)

6 0

3 years ago

kati45 [8]

Answer:

D) 11.

Step-by-step explanation:

y = 5x + p and the point (-2, 1) is on the line, so substituting for (-2, 1):

1 = 5(-2) + p

p = 1 - 5(-2)

p = 1 + 10

p = 11.

8 0

3 years ago