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Leya [2.2K]
3 years ago
12

This is geometry please help

Mathematics
1 answer:
EastWind [94]3 years ago
3 0

Answer:

x = 31°

Step-by-step explanation:

\triangle ABC \cong \triangle DCE... (given) \\\\\therefore m\angle B = m\angle E..(cact)\\\\\because m\angle B = 61\degree \\\\\therefore m\angle E = 61\degree \\\\In \: \triangle DCE\\\\m\angle D+ m\angle C + m\angle E = 180\degree \\(by \:  interior \:  angle  \: sum \:  property \:  of \:  a triangle) \\\\2x\degree + 57\degree + 61\degree= 180\degree \\\\2x\degree + 118\degree = 180\degree \\\\2x\degree = 180\degree - 118\degree  \\\\2x\degree = 62\degree  \\\\x = \frac{62\degree}{2} \\\\x = 31\degree

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A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost
Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

<em><u>Solution:</u></em>

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

<em><u>A baker buys 19 apples of two different varieties to make pies</u></em>

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

<em><u>The total cost of the apples is $5.10</u></em>

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

x \times 0.30 + y \times 0.25 = 5.10

0.3x + 0.25y = 5.1 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 19 - y ---------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

<em><u>Substitute y = 12 in eqn 3</u></em>

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

6 0
3 years ago
Step by step directions Square root for 480
m_a_m_a [10]
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</span> </span>
<span>  <span />Example: Calculate the square root of 10 () to 2 decimal places. <span>1. Find the two perfect square numbers it lies between.
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3 years ago
Some students attend school 180 out of 365 days a year. About what percentage of the year do they attend school?
vlabodo [156]
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is ur answer
4 0
3 years ago
Read 2 more answers
Help...Anybody know??
Charra [1.4K]

Answer:

<h3>The missing number is 16</h3>

2, 4, 8, <u>1</u><u>6</u> , 32, 64

The sequence has a factor of 2 between each number . Each term ( except the first term) is found by multiplying the previous term by 2

I hope it helps

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3 years ago
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Answer:

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Step-by-step explanation:

Add 20% (aka 20% more than now since it decreased) and then get your answer!

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