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Ede4ka [16]
3 years ago
13

The rectangle shown is dilated by a scale factor of 4

Mathematics
1 answer:
EastWind [94]3 years ago
5 0

Answer:

60 cm, 60 cm, 32 cm, 32 cm

Step-by-step explanation:

Multiply each length by the scale factor.

15 cm * 4 = 60 cm

8 cm * 4 = 32 cm

The dilated sides AB and CD will have a length of 60 cm.

The dilated sides AC and BD will have a length of 32 cm.

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choli [55]

Answer:

x + 61 = 411

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

4 0
3 years ago
Willie had 55 baseball cards after trading with his friends. He traded 5 cards for one special card. Lee gave him 11 cards for a
Nikolay [14]

Answer:

49 baseball cards.

Step-by-step explanation:

First you want to add 5 cards to the 55 for the 5 he traded for the one. You get 60. Then subtract the 11 cards that he was given for the 1. You end up with 49 baseball cards.

8 0
3 years ago
In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 2x – 5, and HE = 5y + 2. Find the values of x and y.
eimsori [14]
Since DH=HF you set x+3=3y 
<span>GH=HE so 4x-5=2y+3 </span>

<span>This gives you a system and I solved by substitution so I got x alone in the first equation-> x=3y-3 </span>
<span>then I plugged this x into the second equation so </span>

<span>4(3y-3)-5=2y+3 </span>
<span>12y-12-5=2y+3 </span>
<span>12y-17=2y+3 </span>
<span>10y=20 </span>
<span>y=2 </span>

<span>plug y into the first equation to find x </span>
<span>x=3(2)-3 </span>
<span>x=6-3 </span>
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3 0
3 years ago
Solve each inequality. Graph the solution on a number line.
Kamila [148]

Step-by-step explanation:

<u>Step 1:  Find the solution for the first one</u>

4x > -36

4x / 4 > -36 / 4

x > -9 ← Solution

<u>Step 2:  Find the solution for the second one</u>

<u />7u\le-49

7y/7\le-49/7

y \le -7 ← Solution

<u>Step 3:  Find the solution for the third one</u>

-5m \ge 15

-5m / -5 \ge 15 / -5

m \le -3 ← Solution

<u>Step 4:  Find the solution for the fourth one</u>

-2p > -3

-2p / -2 > -3 / -2

p < 1.5 ← Solution

<u>Step 5:  Find the solution for the fifth one</u>

45 \le - 10r

45 / -10 \le -10r / -10

-4.5 \ge r ← Solution

<u>Step 6:  Find the solution for the sixth one</u>

<u />-66 \ge -11t

-66 / -11 \ge -11t / -11

6 \le t ← Solution

6 0
3 years ago
Chris placed $7,400 in a savings account which compounds interest annually at a rate of 5.7%. How much will he have in the accou
oksian1 [2.3K]

Answer:$9237.02

Step-by-step explanation:

A = p(1+r/n)^nt

A = 7400 (1 + 0.057)^4

A = 7400(1.057)^4

A = 9237.02

6 0
3 years ago
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