Ask question

Ask question

All categories

3 years ago

5

In ΔEFG, the measure of ∠G=90°, the measure of ∠F=53°, and GE = 7.9 feet. Find the length of FG to the nearest tenth of a foot.

1 answer:

Maksim231197 [3]3 years ago

6 0

Answer:

FG ≈ 6.0 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan53° = $\frac{opposite}{adjacent}$ = $\frac{GE}{FG}$ = $\frac{7.9}{FG}$

Multiply both sides by FG

FG × tan53° = 7.9 ( divide both sides by tan53° )

FG = $\frac{7.9}{tan53}$ ≈ 6.0 ft

You might be interested in

Factor the following polynomial completely 6x^5-30x^4-84x^3

Andrei [34K]

Answer:

6x^3(x+2)(x-7)

Step-by-step explanation:

1st step: factor out common term, 6x^3(x^2 - 5x - 14)

2nd step: Factor x^2 - 5x - 14, (x + 2)(x - 7)

3rd step: simplify, 6x^3(x+2)(x-7)

I am joyus to assist :)

8 0

2 years ago

A researcher was studying how the weights of horseshoe crabs along the East Coast vary between northern and southern habitats. I

Ronch [10]

Answer:

Option D (the weight of crab) would be the correct choice.

Step-by-step explanation:

In mathematics, the sum being analyzed depending on a variety of parameters, which have been calculated as explanatory variables, has become a response variable.
It is analogous with the utilization of the definition of variables of the study. A variable with an order to respond is categorized as either a dependent variable.

Some other preferences are not connected with the sustaining. So choice D is the right one.

6 0

3 years ago

What is the range? 6 7 8 7 10

jeka94

Range= 4

Range is the highest number minus the lowest number, 10-6=4

4 0

2 years ago

Read 2 more answers

One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

So

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

Where $(x_1,y_1) = (-6,2)$ and $(x,y) = (5,2)$

So, we're solving for $(x_2,y_2)$

Solving for $x_2$

$x = \frac{x_1 + x_2}{2}$

Substitute 5 for x and -6 for x₁

$5 = \frac{-6 + x_2}{2}$

Multiply both sides by 2

$2 * 5 = \frac{-6 + x_2}{2} * 2$

$10 = -6 + x_2$

Add 6 to both sides

$6 + 10 = -6 +6 + x_2$

$x_2 = 16$

Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

$4 = 2 + y_2$

Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

$(x_2,y_2) = (16,2)$

Hence, the coordinates of the other end is $(16,2)$

3 0

2 years ago

determine whether the triangles are similar if so what is the similarity statement and the postulate or theorem used.

zmey [24]

The triangles are similar because of the SAS postulate. The sides are proportional and angle T is equal in both.

6 0

3 years ago