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liubo4ka [24]
3 years ago
5

Can anyone help me answer this?!?!

Mathematics
1 answer:
Rainbow [258]3 years ago
5 0

angle BCA should be the same as angle CAD -> 20°

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Mr. Hill's farm is 126 acres. Mr. Hill's farm is 1/4 the size of Mr. Miller's farm. How many acres is Mr. Millers farm?
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126 = 1/4* M  Multiplies both sides by 4:  504 = M
4 0
3 years ago
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A box contains $7.45 in nickels, dimes, and quarters. There are 43 coins in all, and the sum of the numbers of nickels and dimes
kari74 [83]

Answer:

<em>Number of nickels = 6</em>

<em>Number of dimes = 14</em>

<em>Number of quarters = 23</em>

<em></em>

Step-by-step explanation:

Total number of coins = 43

Let number of nickels = n

Let number of dimes = d

Let number of quarters = q

n+d+q=43 ...... (1)

Money in n nickels = n \times 0.05

Money in d dimes = d \times 0.10

Money in q quarters = q \times 0.25

Total money = $7.45

0.05n +0.10d+0.25q = 7.45\\\Rightarrow 5n +10d+25q = 745 .... (2)

The sum of the numbers of nickels and dimes is 3 less than the number of quarters.

i.e.

n+d=q-3

Let us put the value  in (1):

q-3+q=43\\\Rightarrow 2q= 43+3\\\Rightarrow q =23

Putting the value of q in (1) and (2):

n+d = 20 .... (3)

5n+10d+575 =745\\\Rightarrow 5n+10d =170\\\Rightarrow  n+2d =34 .... (4)

(4) - (3):

d = 14

Now, from (3):

n = 6

<em>Number of nickels = 6</em>

<em>Number of dimes = 14</em>

<em>Number of quarters = 23</em>

5 0
3 years ago
Which is a measure of the missing angle in this triangle?
Taya2010 [7]
<h2><u>Given</u>:-</h2>

Let us assume the three angles to be angle 1, angle 2 and angle 3.

Angle 1 = 35°

Angle 2 = 120°

<h2><u>To</u> <u>find</u>:-</h2>

Angle 3.

<h2><u>Solution</u>:-</h2>

{\boxed{\mathcal{\red{The \:measure\:of\:the\:missing\:angle\:is\:25°. \:✅}}}}

<h2><u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:-</h2>

We know that,

\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 35° + 120° + ∠ 3 = 180°

➪ 155° + ∠ 3 = 180°

➪ ∠ 3 = 180° - 155°

➪ ∠ 3 = 25°

\sf\red{Therefore, \:the\: measure \:of \:∠\: 3\: is \:25°.}

<h2><u>To</u> <u>verify</u>:-</h2>

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 35° + 120° + 25° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆

7 0
3 years ago
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Selena is graphing the inequality x &lt;-2. She begins by drawing a number line and placing an open circle at -2
Zigmanuir [339]

Answer:

shade the number line to the left of the open circle

Step-by-step explanation:

x is less than - 2, so it could be any number lower than -2. for example, -3, -4, -5, etc.

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3 years ago
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How do you turn 0.8 repeating into a fraction​
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4/5 is 0.8 into a fraction
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