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aleksklad [387]
3 years ago
9

Determine the unknown angles in the diagram above. Please help!

Mathematics
1 answer:
Nana76 [90]3 years ago
6 0

A

a and 143 are supplementary. So a + 143 = 180

a + 143 = 180              Subtract 143 from both sides.

a = 180 - 143

a = 37

B

b and 143 are vertically opposite angles and are equal

b = 143 degrees.

C

Interior angles on the same side of a transversal for parallel lines are supplementary

b + c = 180

143 + c = 180

c = 37

D

c + d + 85 = 180 degrees

37 + d + 85 = 180

d + 122 = 180

d = 180 - 122

d = 58

E

e = c They are vertically opposite.

e =37

F

All triangles have 180 degrees.

e + f + 90 = 180 degrees.

37 + f + 90 = 180

f  +  127 = 180

f = 180 - 127

f = 53

G

G and 48 are opposite 2 equal sides. So G and 48 are equal

G = 48

H

h + 48 + 48 = 180

h + 96 = 180

h = 84

K

K and H are supplementary

K + H = 180

k + 84 = 180

k = 95

M

m+ k + d  = 180

M + 95 +  58 = 180

M + 143 = 180

M = 37

P

the top angle is 2*m and 2m is bisected. You are using the m on the left.

P + 85 + M = 180

P + 85 + 37 = 180

P + 122 = 180

p = 180 - 122

p = 58

R

r + p are supplementary.

r + p = 180

r + 58 = 180

r = 180 - 58

r = 122

S

s + r + c + b = 360  All quadrilaterals have 360 degrees.

s + 122 + 37 + 143 = 360

s + 302= 360

s = 360 - 302

s = 58

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Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.

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The formula to convert <em>X</em> into <em>z</em>-score is:

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Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

P (X ≤ 49) = P (X < 49 - 0.50)

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How many solutions are there in the given equation?<br> y = 2x² + 6x + 4
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Use the quadratic formula

=

−

±

2

−

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x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

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2

2

+

6

+

4

=

0

2x^{2}+6x+4=0

2x2+6x+4=0

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2

a={\color{#c92786}{2}}

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−

6

±

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2

−

4

⋅

2

⋅

4

√

2

⋅

2

x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{2}}}

x=2⋅2−6±62−4⋅2⋅4

brainliest and follow and thanks

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