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2 years ago

Pls help! I need to show my work

Mathematics

1 answer:

Lemur [1.5K]2 years ago

7 0

Answer:

D 62.5

Step-by-step explanation:

Triangles ABE and and DCE are similar

we know this by AAA theorem

A=D and B=C by alternate interior angles theorem

e and e are congruent by vertical angles theorem since all 2 angles match corresponding angles, the are similar, which means the triangle and corresponding sides are also proportional

$\frac{68}{425}=\frac{10}{x\\}\\4250=68x\\62.5=x$

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If people have 6 apples and 46 lemons each, how much would 423 people get? [URGENT]

Leto [7]

Answer:

2,538 apples and 19,458 lemons.

Step-by-step explanation:

1 person gets 6 apples and 48 lemons. Now there are different ways of solving this. One is using a calculator and/or multiplication. If 423 people get 6 apples each, we need to get the total by multipling.

423*6=2538 apples.

Now lets do the same thing with the lemons.

423*46=19458 lemons.

There would be a total of 2,538 apples and 19,458 lemons for 423 people.

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3 years ago

Find the radius of this circle. A = ar2 r = [?] ft A = 9aft?

Sergeu [11.5K]

Answer:

A = $\pi$ . r^2

If A = 9 $\pi$ ft^2

$\pi$ . r^2 = 9 $\pi$ ft^2

r^2 = 9ft^2

r = sqrt(9ft^2)

r = 3ft ( r>0)

Step-by-step explanation:

6 0

2 years ago

20 feet of ribbon, cutting ribbon into 7 1/2 inches or 6 3/4 inch lengths to make bracelets. Write an algebraic expression that

IRINA_888 [86]

ANSWER:

The algebraic expression for number of ribbons is $\frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x}$ and the algebraic expression for length of ribbon is $\frac{25 x}{3} \text { feet }$

SOLUTION:

Given, 20 feet of ribbon, cutting ribbon into $7\frac{1}{2}$ inches or $6\frac{3}{4}$ inch lengths to make bracelets.

Let us convert the mixed fraction to improper fractions.

$7 \frac{1}{2}=\frac{7 \times 2+1}{2}=\frac{15}{2} \text { and } 6 \frac{3}{4}=\frac{6 \times 4+3}{4}=\frac{27}{4}$

Let, the length of bracelets can be made be “x”

First we have to remove the excess length of ribbon and then we have to divide the remaining with length of bracelet we want.

$\text { number of ribbons }=\frac{\text { length of ribbon-excess ribbon.}}{\text {length of bracelet}}$

$\left.=\frac{20 \text { feet }-\left\{\frac{20 \text { feep }}{x}\right.}{x} \text { [we know that, }\{x\} \text { is fractional part of } x\right$ ]

So, the algebraic expression for number of ribbons is $\frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x}$

Now, let us find the algebraic expression for feet of ribbon to make 100 ribbons.

We have 100 bracelets of length x, then total length = 100 × x

length of ribbon = 100x inches

$\begin{array}{l}{=100 \mathrm{x} \times \frac{1}{12} \text { feet }} \\\\ {=\frac{25 x}{3} \text { feet }}\end{array}$

So, the algebraic expression for length of ribbon is $\frac{25 x}{3} \text { feet }$

Hence, the algebraic expression for number of ribbons is $\frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x}$ and the algebraic expression for length of ribbon is $\frac{25 x}{3} \text { feet }$

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Airida [17]

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3 years ago