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Dahasolnce [82]
2 years ago
9

Which postulate proves these two

Mathematics
1 answer:
jeka57 [31]2 years ago
8 0

Answer:

SAS

Step-by-step explanation:

According to the figure...

<em><u>AB=</u></em><em><u>CD</u></em><em><u>. </u></em><em><u>(</u></em><em><u>side)</u></em><em><u> </u></em><em><u>(</u></em><em><u>given)</u></em>

<em><u>AC=</u></em><em><u>AC </u></em><em><u>(</u></em><em><u>side)</u></em><em><u> </u></em><em><u>(</u></em><em><u>common</u></em><em><u>)</u></em>

<em><u>angle</u></em><em><u> </u></em><em><u>B=</u></em><em><u> </u></em><em><u>angle</u></em><em><u> </u></em><em><u>D </u></em><em><u>(</u></em><em><u>angle</u></em><em><u>)</u></em><em><u> </u></em><em><u>(</u></em><em><u>given</u></em><em><u>)</u></em>

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3 years ago
Determine the midpoint between the two points x(4,-6) and y(-2,8)
ikadub [295]

Answer:

p(a, b) = (1, 1)

Step-by-step explanation:

Midpoint formula is

p(a, b)=(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} ) ---------------(1)

Here

(x_1, y_1) = (4, -6) \ \ \ and \ \ \ (x_2, y_2) = (-2, 8)

Substituting values in equation (1)

p(a, b)=(\frac{4 - 2}{2}, \frac{-6 + 8}{2} )

p(a, b) = (1, 1)

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3 years ago
What is the point slope form of the points?
Darina [25.2K]

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂) = (1 1/2, 2 )

m = \frac{2+1}{11/2+4} = \frac{3}{5 1/2} = \frac{6}{11}

using (a, b) = (- 4, - 1), then

y + 1 = \frac{6}{11}(x + 4)


6 0
3 years ago
Miss Kirkland Works 40 hours on Mondays in 8 hours on Tuesdays in the school library during one week in May she worked 1/4 of he
Rashid [163]

Answer:

She worked 12 hours for the week

Step-by-step explanation:

Given that :

Hours worked :

Mondays = 40 hours

Tuesdays = 8 hours

If 1/4 of regular hours was worked in a certain week, the number of hours worked that week can be calculated thus ;

1/4 (Monday hours + Tuesday hours)

1/4(40 + 8)

(1/4 * 40) + (1/4 * 8)

10 + 2

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2 years ago
Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than
guajiro [1.7K]

Answer:

112 km/h

125 km/hr

Step-by-step explanation:

Distance = time * speed

Distance  = distance train 1 + distance train 2

474 = 2(s) + 2(s + 13)

Distribute

474 = 2s + 2s + 26

Combine like terms

474 = 4s + 26

Subtract 26 from both sides

448 = 4s

Divide both sides by 4

112 = s

s = 112 km/h

s + 13 = 125 km/hr

3 0
2 years ago
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