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1 year ago

Which of the following explains how ΔAEI could be proven similar to ΔDEH using the AA similarity postulate?

Mathematics

1 answer:

umka2103 [35]1 year ago

4 0

Answer:

∠AEI ≅ ∠DEH because vertical angles are congruent; rotate ΔHED 180° around point E, then translate point D to point A to confirm ∠IAE ≅ ∠HDE.

Step-by-step explanation:

tbh im not suuper sure but my educated guess is that by looking at it. Good Luck!

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Gwen buys 3 identical pairs of shoes at Store a. She pays $110.25 after the discount. what is the original price of each pair?

emmasim [6.3K]

In perspective this looks tricky but really its no ;) just follow it slowly.
110.25 is your total cost
3 is how many you bought.
So doing division 3/110.25= 36.75
CHECK: 36.75 + 36.75 + 36.75 = 110.25.
Hope this helps.

5 0

1 year ago

Read 2 more answers

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2780 seats. The students

Over [174]

Answer:

1242 6th graders went on the trip.

Step-by-step explanation:

From the information given, you know that the theater has 2760 seats and that the students filled 45% of the seats, so to find the quantity of 6th graders that went on the trip, you have to calculate 45% of 2760:

2760*45%=1242

According to this, the answer is that 1242 6th graders went on the trip.

5 0

1 year ago

Tyrone and Terri both bought sofas with installment loans. Tyrone bought a sofa with a

Minchanka [31]

Answer:

Tyrone paid the higher markup rate.

Step-by-step explanation:

Tyrone and Terri both bought sofas with installment loans.

Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,

74 × 24 = $1776

The mark up = $1776 - $1350 = $426

Tyrone markup rate = 426/24 = $17.75 per month

Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,

52 × 24 = $1248

mark up = $1248 - $950 = $298

Terri markup rate = 298/24 = $12.4166666667 = $12.42 per month

6 0

1 year ago

The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarge

nalin [4]

- At 2 hours, the traveler is 725 miles from home.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE.

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE.

Step-by-step explanation:

The function D(t) is defined as follows:

$D(t) = 300t+125$ for $t< 2.5$

$D(t) = 880$ for $2.5 \leq 3.5$

$D(t) = 75t+612.5$ for $t\leq 6$

Where

t is the time in hours

D(t) is the distance covered, in miles, after t hours

Now let's analyze the different statements:

- The starting distance, at 0 hours, is 300 miles. --> FALSE. In fact, if we substitute t = 0 into the 1st equation, we get

$D(0) = (300)(0)+125 = 125$

So, the distance at t = 0 is 125 miles.

- At 2 hours, the traveler is 725 miles from home. --> TRUE. In fact, if we substitute t = 2 into the 1st equation,

$D(2) = (300)(2)+125 = 725$

- At 2.5 hours, the traveler is 875 miles from home. --> FALSE. In fact, for t=2.5 we have to use the 2nd equation, which states that the distance is:

D(t) = 880

So, not 875 miles.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE. This is clearly visible from the 2nd equation: for t between 2.5 and 3.5 (so, in this case), the distance is

D(t) = 880

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE. In fact, if we replace t = 6 into the last equation,

$D(6)) = 75(6)+612.5=1062.5$