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2 years ago

Someone help me please :(

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

5 0

9514 1404 393

Answer:

A. ∠EAG and ∠BAC

Step-by-step explanation:

Vertical angles share a vertex and have opposite rays for sides.

Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.

The other pair is ∠EAC and ∠BAG.

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A purse contains $2.95 in quarters and dimes. The number of quarters exceeds the number of dimes by 2. Find the number of quarte

abruzzese [7]

Answer:

9 quarters and 7 dimes

Step-by-step explanation:

1 quarter = $0.25

1 dime = $0.10

9 (0.25) = $2.25

7 (0.10) = $0.70

2.25 + 0.70 = $2.95

4 0

2 years ago

Mr. Rogers has $4.62. He has 3 times as many dimes as nickels and 6 more pennies than dimes. How many coins of each kind does he

Marysya12 [62]

Let’s make x = # of nickels. Then 3x = # of dimes and 3x+6 = # of pennies. A nickel is 5 cents, a dime is 10 cents and a penny is 1 cent.

The money she has should be .05(x) + .10(3x) + .01(3x+6) = 4.62 or to make it simpler: 5(x) + 10(3x) + 1(3x+6) = 462.

5x + 30x + 3x + 6 = 462

38x + 6 = 462

38x = 456

x = 12.

So she has 12 nickels (12 * $0.05 = $0.60), 36 dimes (36 * $0.10 = $3.60) and 42 pennies (42 * $0.01 = $0.42). $3.60 + $0.60 + $0.42 = $4.62.

3 0

2 years ago

Solve rx = 30 for x.

yan [13]

X= 30/r is the answer because if you divide both sides by r you are left with x=30/r because you cant divide 30 by r

7 0

2 years ago

Read 2 more answers

Karen and Katy were putting a puzzle together. Karen was four times faster at matching the pieces than Katy. If there were 80 pi

Akimi4 [234]

This was 9 or 8 months ago and no one answered the question

6 0

2 years ago

Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

2 years ago