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3 years ago

Figure 1 is congruent to Figure 2.

Mathematics

2 answers:

Tanzania [10]3 years ago

7 0

Answer:

E. 5 cm.

Step-by-step explanation:

As the 2 figures are congruent then corresponding sides are congruent.

NP corresponds to UT = 5 cm.

So NP is 5cm long.

(If we rotate Figure 2 through 180 degrees anticlockwise we see that it fits exactly on to figure 1.)

Fofino [41]3 years ago

4 0

Answer:

E.) 5 cm

Step-by-step explanation:

The shapes are congruent and are the same size, side TU is the same as NP. If TU is 5, then NP is 5.

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Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1 cup of that

Sedaia [141]

Answer:

Jeff went over by 53.33 grams or $53\frac{1}{3}$ grams.

Step-by-step explanation:

Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.

Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.

He added $\frac{2}{3}$ of a cup of vanilla powder to the flour.

So, he added a mass of $\frac{2}{3} \times128= 85.33$ grams of vanilla.

As the recipe says, it needs 32 grams of vanilla so Jeff went over by $85.33-32=53.33$ grams.

Jeff went over by 53.33 grams or $53\frac{1}{3}$ grams.

8 0

3 years ago

What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?

lianna [129]

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y

1/5x - 2/3(15) = 30

multiply

1/5x - 10 = 30

isolate the variable

1/5x = 40

multiply each side by 5

x = 200

4 0

3 years ago

Read 2 more answers

John is playing a game with a standard deck of playing cards. He wants to draw a jack on the first try. Which of the following s

Tatiana [17]

Answer:

Step-by-step explanation:

It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.

4 0

3 years ago

Read 2 more answers

Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

So, the coordinates are (-8, 11) or (12,11)

3 0

2 years ago

The circumference of a circle is about 50 centimeters (cm). Which is closest to the length of its radius? You may use 3.14 for

Romashka-Z-Leto [24]

Answer:

8 cm

Step-by-step explanation:

The formula of circumference is c= πd------(1)

where C = circumference, π = 3.14 and d = diameter

as we know that diameter is equal to d= 2r

put the diameter formula in eq(1)

we get c= π2r-------(2)

from eq (2) separate r means radius

hence, r= c/(π2)------(3)

put the values in eq(3)

and radius is equal to 8 cm.

5 0

3 years ago