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2 years ago

Can someone solve these for me please

Mathematics

1 answer:

Grace [21]2 years ago

8 0

Answer:

2. 16

3. 46

4. 59

Step-by-step explanation:

5.The measure of smaller angle is 87 degrees.

Step-by-step explanation:

Consider the provided information.

The provided angles are 3x degree and 2x + 25 degree.

Two angles are said to be Supplementary angles if their sum is 180 degree.

It is given that the provided angle are supplementary angles, thus

3x + 2x + 25 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 31

Now, substitute the value of x in first angle i.e 3x.

3(31) = 93

Substitute the value of x in the second angle i.e 2x + 25

2(31) + 25 = 62 + 25 = 87

Hence, the measure of smaller angle is 87 degrees.

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Simplify the following fraction (9/16/1/4)-1/5

german

Answer: $\frac{41}{20}$

Step-by-step explanation:

The first step is to make the division of the fractions $\frac{9}{16}$ and

$\frac{1}{4}$ . To do this, you can flip the fraction $\frac{1}{4}$ over and multiply the numerators and the denominators of the fractions. Then:

$(\frac{\frac{9}{16}}{\frac{1}{4}})-\frac{1}{5}=(\frac{9}{16}*4)-\frac{1}{5}=\frac{36}{16}-\frac{1}{5}$

Reduce the fraction $\frac{36}{16}$ :

$=\frac{9}{4}-\frac{1}{5}$

Now you can make the subtraction: in this case the Least Common Denominator (LCD) will be the multiplication of the denominators. Divide each denominator by the LCD and multiply this quotient by the corresponding numerator and then subtract the products. Therefore you get:

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