Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long
If sides are congruent then the angles ACROSS from them are also congruent.
Since WV and VU are congruent, angle U is congruent to angle W.
Set up an equation and solve.
See attachment.
x = 8
Angle w = 63
18 - 2 = 16
8n = 16
Divide
N = 2
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Definition of equilateral.
Definition of equilateral.
Substitution
Angle Addition
Angle Addition
Substitution
Substitution
Definition of equilateral
Definition of equilateral
Side-Angle-Side Congruence*
CPCTC
* SAS Congruence:
PA = BA
∠PAC = ∠QAB
AC = AQ
Answer:
The equation of the line would be y = 1/8x - 3
Step-by-step explanation:
to find the slope intercept form of the line, you must first find the slope. You can do this using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-2 - -4)/(8 - -8)
m = 2/16
m = 1/8
Then you can use this slope along with either point in point-slope form. Then solve for y.
y - y1 = m(x - x1)
y + 4 = 1/8(x + 8)
y + 4 = 1/8x + 1
y = 1/8x - 3