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posledela
3 years ago
5

Pls help Solve for x in the diagram below.

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Step-by-step explanation:

(2x + 45)° and x° are supplmentary angles.

(Sum of angles on a straight line = 180°)

Hence 2x + 45 + x = 180, 3x = 135, x = 45.

You might be interested in
25 hundredths as a decimal
GenaCL600 [577]

You're answer should be 0.25

.025 is the thousandths place.

brainliest? :p

3 0
4 years ago
What is the product of Three-fourths and Negative StartFraction 6 over 7 EndFraction? -9/14
Brums [2.3K]

Answer:

The product is :  -\frac{9}{14}

Step-by-step explanation:

First term given to us is =  \frac{3}{4}

Second term given to us = -\frac{6}{7}

We have to find product for term 1 and term 2

Which means that we have to find : (\frac{3}{4})\cdot(-\frac{6}{7})

Calculating the product of fraction is pretty simple. To calculate the product of any two fractions. We have to multiple the numerator of 1st term with numerator of 2nd which serves as the the numerator of the product. Similarly we have to multiply denominator with denominator.

(\frac{3}{4})\cdot(-\frac{6}{7}) = \frac{3\cdot(-6)}{4\cdot7} = -\frac{18}{28}

Reduce the fraction

-\frac{18}{28}= -\frac{9}{14}

3 0
3 years ago
In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 8, and the ratio of flour to baking soda is 10 to 1
olasank [31]

Answer:

1,500

Step-by-step explanation:

Ratio of Sugar to Flour: 5:8 -> 25:40

Ratio of Flour to Baking Soda: 10:1 -> 40:4

Sugar to Flour to Soda: 25x:40x:4x

\frac{40x}{(4x+60)} = \frac{8}{1} -> x = 60

Sugar = 25x = 1,500

Hope this helps :)

7 0
3 years ago
Willard Hudson took out a simple interest loan of $6,000.00 at 10 percent interest for 24 months. His monthly payment is $276.60
bezimeni [28]

9514 1404 393

Answer:

  a) $42.35

  b) $5124.56

  c) $407.44

Step-by-step explanation:

a) The interest due is that for one month on the remaining balance:

  I = Prt

  I = $5082.21·0.10·1/12 = $42.35

__

b) The final payment is ...

  $5082.21 +42.35 = $5124.56

__

c) Had Hudson continued paying, he would have paid ...

  20·$276.60 = $5532.00

So, he saved ...

  $5232.00 -5124.56 = $407.44

3 0
3 years ago
Malliki Williams earned a $48,000 from royalties on her cookbook.She paid a 28% income tax on these royalties. The balance wasin
Nikitich [7]

Answer:

$20000 and $14560

Step-by-step explanation:

First, we need to get the total tax paid by Malliki Williams

To get that, we have to multiply her income tax (28%) by total royalties ($48000)

28% of $48000 = $13440

Balance after tax = $48000 - $13440

Balance = $34560

She invested some of the balance ($34560) at the rate of

3.25% ---- First investment

1.75% --- Second investment

Assume her first investment is x dollars

Definitely, her second investment would be $34560 - x

3.25% of x + 1.75% (34560 - x ) = 904.8

0.0325x + 0.0175(34560-x) = 904.8 ----- Open the bracket

0.0325x + 604.8x - 0.0175x = 904.8 ------ Collect like terms

0.0325x -0.0175x =904.8 - 604.8

0.015x = 300 ------ Divide both sides by 0.015

x = 300/0.015

x = 20000

Remember that x represents her first investment

Her second investment is $34560 - $20000 =$14560

4 0
4 years ago
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