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3 years ago

Which statement about these two triangles is true

Mathematics

2 answers:

klemol [59]3 years ago

8 0

Option A is true...
A).triangle ABC is similar to the triangle FDE becoz...AB/FD=AC/FE.

lana66690 [7]3 years ago

5 0

Answer:

Option A. is the correct option.

Step-by-step explanation:

By the theorem of similar triangles, when two triangles are similar their corresponding sides will be in the same ratio.

In ΔABC and ΔDEF

$\frac{AB}{FD}=\frac{AC}{FE}=\frac{5}{10}=\frac{1}{2}$

So, these two triangles will be similar.

Option A. ΔABC and ΔDEF are similar because $\frac{AB}{FD}=\frac{AC}{FE}$

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A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an

Snowcat [4.5K]

Answer:

$\cos\theta=\frac{10}{\sqrt{116}}$

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

$\cos\theta$ is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let $c$ represent the length of the hypotenuse):

$10^2+4^2=c^2$

$100+16=c^2$

$116=c^2$

$c=\sqrt{116}$

Thus, we know the adjacent is 10, and the hypotenuse is $\sqrt{116}$ . This means $\cos\theta=\frac{10}{\sqrt{116}}$ .

Hope this helps!

5 0

2 years ago

Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.

posledela

Answer:

see attached diagram

Step-by-step explanation:

A dilation with a scale factor of $\dfrac{1}{3}$ centered at the origin has a rule:

$(x,y)\mapsto\left(\dfrac{x}{3},\dfrac{y}{3}\right).$

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates

$D\left(\dfrac{-3}{3},\dfrac{3}{3}\right)\Rightarrow D(-1,1);$
$E\left(\dfrac{3}{3},\dfrac{9}{3}\right)\Rightarrow E(1,3);$
$F\left(\dfrac{6}{3},\dfrac{6}{3}\right)\Rightarrow F(2,2).$

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2 years ago

What is 20% of 148<br> Anyone know

Alexeev081 [22]

Answer:

29.6

Step-by-step explanation:

20% = 0.20

0.20 * 148 = 29.6

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2 years ago

You planted 488 acres of corn last season. you sold all your corn: 8,120 bushels in August and 64,100 bushels in September. what

Paladinen [302]

The yield per acre will be given by:
[total amount of bushels sold]/[area of the field]
Total amount sold=64100+8120=72220
area=488 acres
thus
72220/488
=147.992~148 bushels per acre

8 0

3 years ago

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Add.

Vikki [24]

Answer:

5/6

Step-by-step explanation:

9/30 + 16/30 = 25/30 = 5/6

3 0

3 years ago

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