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Salsk061 [2.6K]
2 years ago
14

The measure of angle ABD is 105º. The measure of angle ABC is 75º.

Mathematics
1 answer:
MakcuM [25]2 years ago
5 0

If we know that the WHOLE angle added is 105 and only part is 75 you need to subtract the whole angle and subtract from part of the whole angle.

105-75=30. You get 30 And that’s you answer!

Picture to help with your understanding.

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Elden [556K]

Answer:

7. 589.0

8. 122.0

9. 0.6

10. 3.5

6 0
2 years ago
Which is a possible expression for the series
Anvisha [2.4K]
Without considering the sign:

It's sigma(1 to 5, 5k+2)

Since the first item is minus, you simply add (-1)^k

So it's sigma(1 to 5, (-1)^k * (5k+2)

I choose A
4 0
3 years ago
Find the measure of HIW in picture.
Contact [7]
10x+2x+13=145
angle of WIJ and HIW is equal to 145 degrees
12x+13=145
12x=132
x=11
angle of WIJ is 10x
angle of HIW is 2x+13
to find angle of HIW, you plug in x=11 into 2x+13 and
the answer and angle of HIW is 35 degrees.

6 0
3 years ago
Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).
Y_Kistochka [10]

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

<h3>What is the Heron's Formula?</h3>

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

brainly.com/question/10713495

#SPJ1

8 0
1 year ago
Does anyone know how to do this?? steps are helpful but not necessary
aniked [119]

Answer:

C.  \frac{2(x+16)}{x+4}

Step-by-step explanation:

We want fg of x, so first we have to multiply f(x) times g(x).

\frac{x+16}{x} * \frac{2x}{x+4}

\frac{(x+16)2x}{x(x+4)}

\frac{2x^{2}+32x}{x^{2}+4x}

We can cancel out an x from every term.

\frac{2x+32}{x+4}

Let's rewind a little to get this into one of the answer choices.

\frac{2(x+16)}{x+4} is our answer.

6 0
3 years ago
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