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3 years ago

The measures of two complementary angles have a ratio of 3:2 what is the meusure of the larger angle

Mathematics

1 answer:

ozzi3 years ago

4 0

Answer:

Step-by-step explanation:

The two angles add to 90 degrees since they are complementary

the ratio is 3:2

Multiply by x

3x:2x

Add them together and set equal to 90

3x+2x=90

5x=90

Divide each side by 5

5x/5 = 90/5

x = 18

The first angle is 3*18 = 54

The second angle is 2*18 = 36

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Solve for x 5-x/3=-15

Inga [223]

Answer:

x is equal to 60

x=60

Step-by-step explanation:

4 0

3 years ago

Suppose that an angle is bisected to form two smaller angles that measure (2+30)° and (8+6)° . What is the measure of the origin

Valentin [98]

M<A=(2+30) M<B=(8+6)

(2+30)+(8+6)

32+14

M<A+B=46

Answer: The original angle measured 46 Degrees

6 0

2 years ago

Find the x-intercept(s) of y = 2x2 - 3x - 5.<br> A) -5 <br> B) 2 1/2, -1<br> C) 3, -5 <br> D) 5, -1

Alexus [3.1K]

Answer:

$\large\boxed{B)\ 2\frac{1}{2},\ -1}$

Step-by-step explanation:

x-intercepts are for y = 0.

We have the equation:

$y=2x^2-3x-5$

Therefore

$2x^2-3x-5=0\\\\2x^2+2x-5x-5=0\\\\2x(x+1)-5(x+1)=0\\\\(x+1)(2x-5)+0\iff x+1=0\ \vee\ 2x-5=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\\boxed{x=-1}\\\\2x-5=0\qquad\text{add 5 to both sides}\\2x=5\qquad\text{divide both sides by 2}\\\boxed{x=2\frac{1}{2}}$

7 0

3 years ago

C=(7,-4) and D= (-8,5) CD=?

prisoha [69]

Answer:

Step-by-step explanation:

$x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}$