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3 years ago

The measures of the angles of a triangle are shown in the figure above. solve for X

Mathematics

2 answers:

natali 33 [55]3 years ago

7 0

X = 8

180-102-44=34

34=4x+2

Subtract 2

32=4x

Divide by 4

X=8

den301095 [7]3 years ago

4 0

Answer:

x=8

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

4x+2 + 102+44 = 180

Combine like terms

4x+148=180

Subtract 148 from each side

4x +148-148 = 180-148

4x = 32

Divide by 4

4x/4 = 32/4

x=8

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

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3 years ago

Been stuck on this problem help?

kramer

Answer:

C. x < 40

Step-by-step explanation:

x/5 - 3 < 5

x/5 -3 + 3 < 5 + 3

x/5 < 8

(5/1) x/5 < 8 (5/1)

x < 40

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3 years ago

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andre [41]

Answer:

The common factors of 45 and 72 are 9, 3, 1

Step-by-step explanation:

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for a recipe Peter uses 2 cups of sugar for every 3 cups of flour which table shows equivalent ratios for this table

Novosadov [1.4K]

Answer:

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Step-by-step explanation:

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