All categories

3 years ago

Triangle ABC is a right triangle, angle B is the right angle, angle A is

1 answer:

4 0

The answer is 42 degrees.

A triangle has to equal 180 degrees in total. Because you know it is a right triangle and b is the right angle you make angle a plus c equal 90. You add together 8x and 9x to get 17x and add the 2 and 3 to get 5. You have to solve for x so you subtract 5 from both sides to get 17x = 85. To get x alone you divide both sides by 17 giving you x=5. Now that you have x you plug it into to the equation for angle a. This gives you 8(5)+2 which equals 42.

8x+2+9x+3=90
17x+5=90
17x=85
X=5

8(5)+2=
40+2=42

You might be interested in

Use the Side-Splitter Theorem to find x, given that PQ||BC . The figure is not drawn to scale.

MrRa [10]

Answer: x=12

Step-by-step explanation:

1. Accoding to the Side-Splitter Theorem, if a line interesect two sides of the triangle and it is parallel to the third side, then the other two sides are divided by the line proportionally.

2. Then, you can form the following proportion:

$\frac{PA}{BP}=\frac{QA}{CQ}$

3. Substitute values and solve for x:

$\frac{8}{x}=\frac{12}{18}\\18*8=12x\\x=12$

8 0

3 years ago

PLEASE HELP ASAP 25 POINTS

Lisa [10]

We're going to go ahead and eliminate one answer out of the four. It cannot be B (the second answer) because the graph is made of dotted lines.

Dotted Lines = > or <

Solid Lines = ≤ or ≥

Next, let's focus on the straight line on the graph.

The equation for the line is

y = x - 4

Since the shaded region is below the line,

the equation will be y < x - 4

We can now eliminate answer A

Since the second equation is y < - l x - 2 l

It will be shaded below the graph since it uses the ( < ) (less than symbol)

This means the answer is C

Hope I helped, message me if you have any questions : )

8 0

3 years ago

Quadrilateral EFGH has coordinates E(2a, 2a), F(3a, a), G(2a, 0), and H(0, 0). Find the midpoint of he

Gre4nikov [31]

The formula of the midpoint of HE:
$\left(\dfrac{x_H+x_E}{2};\ \dfrac{y_H+y_E}{2}\right)$

We have H(0; 0) and E(2a; 2a). Substitute:
$\left(\dfrac{0+2a}{2};\ \dfrac{0+2a}{2}\right)=(a;\ a)$

4 0

3 years ago

Read 2 more answers

How to find the perimeter of a square one side is 10x other side is 6x+8?

Yanka [14]

To find the perimeter of the square, you add all four sides together:
10x + 10x + (6x + 8) + (6x + 8)
20x + 12x + 16 = P
32x + 16 = P

you have to find x to get the actual perimeter. Since the shape is a square, all 4 sides are equal, so you can set 10x and (6x + 8) as equal to each other.
10x = 6x + 8
4x = 8
x = 2

Now you just plug in x and finish the rest of the problem, and you have the answer:
32(2) + 16 = P
64 + 16 = P
P = 80

(if you find this helpful, marking this as the brainliest answer would make my day :)

4 0

3 years ago

A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. A cable c

8_murik_8 [283]

Answer:

3854ft

Step-by-step explanation:

By assuming that the cable is not doubled.

in order to find the length of the base of the mountain

tan74°=3400/x

x= 3400/tan74°

x≈ 975ft

Therefore, the length of the cable equals to

= $\sqrt{3400^2+(975 + 840)^2}$

length≈ 3854ft

Thus, the shortest length of cable needed is 3854ft

3 0

3 years ago