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2 years ago

Given that KD is congruent to AT prove that angle K is congruent to angle T

Mathematics

1 answer:

Mademuasel [1]2 years ago

7 0

KD is congruent to AT as:

<h3>angles are of equal measure</h3><h3>sides KD and TA are equal</h3><h3>sides DT and KA are equal</h3>

The figure is kite as has two pairs of same sides.

<h3>They are constructed in a way of having same angle.</h3>

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Solve the following proportion. P/6 = 7/8<br> A: P=5.25<br> B: P=8<br> C: P=10.5<br> D: P=42

ValentinkaMS [17]

Answer:

Step-by-step explanation:

given $\frac{P}{6}$ = $\frac{7}{8}$

using the method of cross- multiplication then

8P = 42 ( divide both sides by 8 )

P = $\frac{42}{8}$ = 5.25

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3 years ago

People are randomly chosen from a group of 7 boys and 5 girls. Determine which scenario is more likely to happen.

andre [41]

Answer:

Step-by-step explanation

Well the boys can be chosen again all in a row but the girls cdan't therfore the answer is A

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2 years ago

A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His

sergejj [24]

Answer:

y = - 16t² + 55.6t + 6

Step-by-step explanation:

Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football

So y = y₀ + vt - 1/2 × (32 ft/s²)t²

y = y₀ + vt - 16t² where y₀ = 6.5 ft

y = 6 + vt - 16t²

Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have

5 = 6.5 + v(3.5 s) - 16(3.5 s)²

5 = 6.5 + 3.5v - 196

collecting like terms, we have

5 - 6.5 + 196 = 3.5v

194.5 = 3.5v

v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s

So, substituting v into y, our quadratic model is

y = 6 + 55.6t - 16t²

re-arranging, we have

y = - 16t² + 55.6t + 6

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3 years ago

use this information for items 1-3. Aaron has $65 to rent a bike in the city . It costs $15 per hour to rent a bike. The additio

marissa [1.9K]

Answer:

Step-by-step explanation:

What we are expected to solve for that the problem did not expressly state is most likely the number of hours that you could ride for an amount of $65.

firstly we need to model the inequality (equation) for this scenario.

the constant fee= $3 additional fee for helmet

$3+15n\leq 65\\\\$