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Naddik [55]
3 years ago
11

What's the 8th term geometric sequence below

Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0
I would choose the answer D 
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Can anyone help please right answer only
BARSIC [14]

The value of x is 27°.

Solution:

Given \triangle \mathrm{ACB} \cong \Delta \mathrm{DCE}.

∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10

<em>If two triangles are congruent, then the angles are congruent.</em>

∠A = ∠E (Alternate interior angles)

∠C = ∠C (Reflexive property)

∠B = ∠D (Alternative interior angles)

⇒ ∠B = 2x + 10

<em>Sum of the interior angles of the triangle = 180°</em>

In ΔACB,

3x – 10 + 45° + 2x + 10 = 180°

5x + 45° = 180°

Subtract 45° on both sides of the equation.

5x = 135°

Divide by 5 on both sides of the equation.

x = 27°

The value of x is 27°.

7 0
3 years ago
Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB=7, BC=4, and AC=9. Are points A,
sergeinik [125]
If the points are collinear, then that means they lie on the same line when connected to each other. In order to prove this, the distances between the points must sum up to the length of the line.

AB + BC = AC
7 + 4 ? 9
11 ≠ 9

Since they do not sum up, therefore, the points are not collinear.
7 0
3 years ago
Read 2 more answers
Draw a line representing the "run" and a line representing the "rise" of the line. State the slope of the line in simplest form.
Shtirlitz [24]

Answer:

\displaystyle 1\frac{1}{3}

Step-by-step explanation:

[3, 1] and [0, −3]

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 + 1}{0 + 3} = \frac{4}{3} = 1\frac{1}{3}

I am joyous to assist you anytime.

4 0
3 years ago
Read 2 more answers
A basket contains 11 pieces of fruit: 4 apples, 4 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket
dybincka [34]
|\Omega|=11\cdot10=110\\&#10;|A|=4\cdot4=16\\\\&#10;P(A)=\dfrac{16}{110}=\dfrac{8}{55}
8 0
3 years ago
In a drawer, there are 3 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace or, turn pick put a 2nd soc
slega [8]

I believe the answer is B) 6/81

6 0
3 years ago
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