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frosja888 [35]
3 years ago
9

Solve the equation for x. (10x + 15) = 26 3

Mathematics
1 answer:
Papessa [141]3 years ago
8 0

Answer:

I'm not sure about this but I got -0.63 assuming that the 3 is supposed to be before the parentheses

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Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0
3 years ago
These two polygons are similar.
Jet001 [13]

Answer:

\huge\boxed{z=3}

Step-by-step explanation:

If two polygons are similar, then corresponding sides are in proportion.

The corresponding sides:

4 → x

y → 15

3 → w

2 → 6

z → 9

therefore:

\dfrac{z}{9}=\dfrac{2}{6}         <em>cross multiply</em>

(z)(6)=(9)(2)

6z=18         <em>divide both sides by 6</em>

z=3

4 0
3 years ago
Line HF is tangent to circle D at point E. SEgment DE is the radius of circle D, what is true about DEF?
ivolga24 [154]

When we draw a circle with the centre at D and have a tangent HF to the circle D at point E, the angle DEF will be a right angle.

In other words angle DEF = 90 degrees

Since HF, the tangent, is a straight line, the other angle DEH should also be = 90 degrees because the straight line has an angle of 180 degrees

Therefore angle DEF = angle DEH = 90 degrees

Therefore, angle DEF is congruent to angle DEH (Option A)


3 0
3 years ago
Read 2 more answers
4. What affects the size of an angle? A. Its location B. The amount of rotation of one side C. The length of its sides D. The nu
earnstyle [38]
The correct answer is
<span>D. The number of degrees in its supplement

The size of the sides and the rotation is irrelevant and would still keep the angle having the same size. The number of degrees in the supplement decides how big an angle is because the larger the supplementary angle the smaller the angle we're observing will be, and vice versa.</span>
7 0
3 years ago
PLEASE DO IT it is due in 5 minutes
german
A) 42x-12
6*7=42. 6*2=12
b) 21y
11+4+6=21
4 0
3 years ago
Read 2 more answers
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