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mezya [45]
2 years ago
14

Help with Similarity Triangles Geometry. I dont understand how to solve for x on this one.​

Mathematics
1 answer:
valkas [14]2 years ago
6 0

since we know those two triangles are similar then we can use proportions.

\cfrac{AE}{AB}=\cfrac{AD}{AC}\implies \cfrac{14-8}{2x}=\cfrac{14}{2x+4}\implies \cfrac{6}{2x}=\cfrac{14}{2x+4}\implies \cfrac{3}{x}=\cfrac{14}{2x+4} \\\\\\ 6x+12=14x\implies 12=8x\implies \cfrac{12}{8}=x\implies \cfrac{3}{2}=x \\\\[-0.35em] ~\dotfill\\\\ AB=2x+4\implies AB=2\left( \frac{3}{2} \right)+4\implies AB=3+4\implies AB=7

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Answer:

hrs =4

Step-by-step explanation:

550-11

200-x

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3 0
3 years ago
Which function has a range of {yly < 5}?
Alexeev081 [22]

Answer:

f(x) = -(x-4)^2 + 5

Step-by-step explanation:

The function f(x) = -(x-4)^2 + 5 is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.

Proving that f(x) = -(x-4)^2 + 5 \le 5 for all x:

x^2 \ge 0 \Rightarrow (x-4)^2 \ge 0 \Rightarrow -(x-4)^2 \le 0 \Rightarrow -(x-4)^2 + 5 \le 5.

8 0
3 years ago
Find the measure of \angle G∠G. Round your answer to the nearest tenth (one decimal place).
Law Incorporation [45]

Hi there!

\large\boxed{G \approx 55.44^{o}}

To solve, we can use right triangle trigonometry.

Recall that:

sin = O/H, cos = A/H, tan = O/A.

For angle G, HF is its OPPOSITE side, and FG is the hypotenuse.

Therefore, we must use sine to evaluate:

sinG = 14 / 17

sin⁻¹ (14/17) = ∠G. Evaluate using a calculator.

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6 0
2 years ago
Ellason wants to solve the following system using the elimination method: 5x + 2y = 30 x + y = 8 What number should the equation
Zinaida [17]
 - 2 because we obtain : - 2x - 2y = - 16 ;
We solve the system:
5x + 2y = 30
-2x - 2y = -16
_____________(+)
3x /       = 14;
x = 14/3;
y = 8 - 14/3;
y = 24/3 -14/3;
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The solution of the system is ( 14/3 ; 10/3 )

8 0
2 years ago
Read 2 more answers
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Reil [10]

Answer: 8 leaves per type of leaf

Step-by-step explanation:

56/7 = 8 leaves per type of leaf.

3 0
1 year ago
Read 2 more answers
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