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3 years ago

Henry has to wrap five presents

1 answer:

7 0

Henry has to wrap five presents for a birthday party and has a length of ribbon to make bows for the presents. He cuts the ribbon into eight equal lengths and uses five of the pieces. With the remaining length of ribbon he is able to make six bracelets to give away at the party

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For ΔABC, ∠A = 3x - 8, ∠B = 5x - 6, and ∠C = 4x + 2. If ΔABC undergoes a dilation by a scale factor of 1/2 to create ΔA'B'C' wit

Snezhnost [94]

Answer:

D. ∠B = ∠B' = 74° and ∠C = ∠C' = 66°

Step-by-step explanation:

Given,

$\angle A=3x-8\\\angle B=5x-6\\\angle C=4x+2$

We know,sum of all 3 angles of a triangle is $180$ °

Doing so ,

$\angle A+\angle B+\angle C=180\\3x-8+5x-6+4x+2=180$

Simplifying all like terms,

$12x-12=180\\12x-12+12=180+12\\12x=192$

Dividing both side by 12

$x=\frac{192}{12}$

$x=16$

Now we plug this in each angles and find their exact values.

$\angle A=3x-8=(3\times16)-8=48-8=40$ °

$\angle B=5x-6=(5\times16)-6=80-6 =74$ °

$\angle C=4x+2 = (4\times16)+2=64+2=66$ °

Now substituting the $x=16$ in angles of dilated triangle.

$\angle A'=(2\times16)+8=32+8= 40$ °

$\angle B'=90-16=74$ °

$\angle C'=(5\times16)-14=80-14=66$ °

We see that all the corresponding angles are equal and as far as the options are concerned only option (D) matches.

8 0

4 years ago

Please help, I don’t understand this problem

Arlecino [84]

Y=x+700 is the correct answer. There is a y intercept of 700 and a slope of 1.

4 0

3 years ago

Solve and explain. Sue orders pictures from her photographer. Each picture costs $8. A one-time shipping fee of $7 is added to t

Whitepunk [10]

Answer:

3 pictures

Step-by-step explanation:

Please see the attached pictures for the full solution.

☆ Since the shipping fee is a one-time fee, for an order, Sue only pays $7 once and the rest of the cost would be due to the number of pictures she ordered.