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2 years ago

Given: ∠ A = ∠ C, E is the midpoint of AC Prove: △AEB △CED

Mathematics

1 answer:

bija089 [108]2 years ago

4 0

Answer:

Step-by-step explanation:

3.AE = CE E is the midpoint of AC

4. ∠AEB = ∠CED Vertically opposite angles are equal

5. ΔAEB = ΔCED ASA congruence

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Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)

IrinaK [193]

Answer:

Equation of the circle (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

Step(i):-

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

Centre = $(\frac{-2+8}{2} ,\frac{1+9}{2} )$

Centre (h, k) = (3 , 5)

Step(ii):-

The distance of two end points

PQ = $\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }$

$PQ= \sqrt{(8+2 )^{2} +(8 )^{2} }$

PQ = √164 = 12.8

Diameter d = 2r

radius r = d/2

Radius r = 6.4

Final answer:-

Equation of the circle

(x-h)²+(y-k)² = r²

(x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x +y² -10y = 40.96-34

x² -6x +y² -10y -7= 0

4 0

3 years ago

Write the following expression in radical form

zlopas [31]

Answer:

See below

Step-by-step explanation:

Write the following expression in radical form

(8x)¹/² = $\sqrt{8x}$

Write the following expression in exponential form.

$\sqrt{19}$ = 19¹/²

8 0

2 years ago

Help ASAP!!! Worth 30 points!!!

sladkih [1.3K]

$2m+22$

I hope this helped!

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2 years ago

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pishuonlain [190]

Answer:

The first one is false and the second is vertex

Step-by-step explanation:

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2 years ago

Find the fraction equivalent to 8/24 in lowest term

olga2289 [7]

$\frac{\big{8}}{\big{24}} = \frac{\big{8:8}}{\big{24:8}} = \frac{\big{1}}{\big{3}}$

5 0

3 years ago

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