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4 years ago

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Mathematics

1 answer:

barxatty [35]4 years ago

4 0

Angle m is supplementary to the angle that is 125° degrees.

Supplementary angles mean they add up to 180°, which is a straight line.

180-125= 55.

So, angle m is 55°

I hope that helps!

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If mZ1= 140, what is m_3?<br> 900<br> 500<br> 1300<br> 400

zhuklara [117]

Answer:

∠ 3 = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an exterior angle of the triangle, so

90° + ∠ 3 = ∠ 1

90° + ∠ 3 = 140° ( subtract 90° from both sides )

∠ 3 = 50°

7 0

3 years ago

1. Factor completely: 2a^2 + 6a + 18

USPshnik [31]

Answer:

$2(a+3)(a+3)$

$5(x+1)(x-1)$

$3t(t-2)(t+8)$

$n(2+n)(2-n)$

Step-by-step explanation:

Factor each expression

$2a^2 + 6a + 18$

$2(a^2 + 3a + 9)$

product =9 and sum =6

3 times 3 is 9

3 plus 3 is 6

$2(a+3)(a+3)$

2. Factor completely: 5x^2 − 5

GCF is 5

$5x^2 - 5$

$5(x^2 - 1)$

$5(x+1)(x-1)$

3. Factor completely: 3t^3 + 18t^2 − 48t

$3t^3 + 18t^2 -48t$

$3t(t^2 + 6t -16)$

product is -16 and sum is 6

-2 times 8 = -16

-2+8=6

$3t(t^2 + 6t -16)$

$3t(t-2)(t+8)$

4. Factor completely: 4n − n^3

$n(4 -n^2)$

$n(2+n)(2-n)$

7 0

3 years ago

Wat is the word form for 8.008

jarptica [38.1K]

Answer:

Eight and Eight Thousandths

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Plz help will mark right answers brainliest!!

Bas_tet [7]

Answer:

The angle between the ladder and the wall is of approximately 32 degrees $(32^o)$ , which agrees with the answer marked as "B" in the list of options.

Step-by-step explanation:

Notice that the wall and the floor make a right angle, and the ladder lining against the wall makes the hypotenuse of a right angle triangle.

See the attached image for explanation, and for the angle $\theta$ that we are trying to find, which is formed between the ladder and the wall.

Notice as well that the 8 ft section of the wall, is an "adjacent" side of the angle $\theta$ , and that the 5 ft segment between the wall and the base of the ladder is the "opposite" side to the angle.

We can then use the "tangent" of the angle $\theta$ which is defined as the quotient between the opposite side divided the adjacent side to investigate the measure of the angle $\theta$ . We will use the "arctangent" to solve for the angle:

$tan(\theta)= \frac{opposite}{adjacent} \\tan(\theta)= \frac{5}{8}\\tan(\theta)=0.625\\\theta=arctan(0.625)\\\\\theta=32.00538$