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Y_Kistochka [10]
3 years ago
8

What is the missing numerator?

Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer:

6.

Step-by-step explanation:

x/7 - 3/8 = 27/56

Multiply through by 56 , as 7 * 8 = 56 we have:

8x - 3*7 = 27

8x = 27 + 21 = 48

x = 6.

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Solve.<br> sec 315 degrees
densk [106]

Answer:

1.41

Step-by-step explanation:

5 0
3 years ago
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

x+(2x+12)+90=180

3x+102=180

3x=180-102

3x=78

Divide both sides by 3.

x=\dfrac{78}{3}

x=26

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

2x+12=2(26)+12

2x+12=52+12

2x+12=64

Therefore, the measures of two acute angles are 26° and 64° respectively.

8 0
3 years ago
Solve the following quadratic equation 6x^2-5x-4=0
jeka94

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

6

2

−

5

−

4

=

0

6x^{2}-5x-4=0

6x2−5x−4=0

=

6

a={\color{#c92786}{6}}

a=6

=

−

5

b={\color{#e8710a}{-5}}

b=−5

=

−

4

c={\color{#129eaf}{-4}}

c=−4

=

−

(

−

5

)

±

(

−

5

)

2

−

4

⋅

6

(

−

4

)

√

2

⋅

6

Step-by-step explanation:

6 0
3 years ago
John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?​
earnstyle [38]

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

7 0
3 years ago
If 20 ounces is $7, and ,$17 = x, what is x
jasenka [17]
You can solve this by cross multiplying. 20 ounces/$7=x ounces/$17. multiple $17 by 20 ounces and $7 by x ounces. (17x20=7x). 17x20=340, so 340=7x. Divide both sides by 7, and you will get x equals about 48.6.
5 0
3 years ago
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