Answer:
23°
Step-by-step explanation:
There is not enough information given in this diagram to provide values for the marked angles. In order to solve the problem, we must assume some relation between those angles.
If they are equal, then ...
9x -22 = 6x -7
3x = 15 . . . . . . . . . . add 22-6x to both sides
x = 5 . . . . . . . . divide both sides by 3
m∠ABD = (9x -22)° = (9·5 -22)° = 23°
Answer:
21/3-(-101/6)
Final result :
143
——— = 23.83333
6
Step by step solution :
Step 1 :
101
Simplify ———
6
Equation at the end of step 1 :
21 101
—— - (0 - ———)
3 6
Step 2 :
7
Simplify —
1
Equation at the end of step 2 :
-101
7 - ————
6
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 6 as the denominator :
7 7 • 6
7 = — = —————
1 6
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7 • 6 - (-101) 143
—————————————— = ———
6
6 6
Final result :
143
——— = 23.83333
6
Taking the observation point as a vertex. The line to the observed window is the hypotenuse of a right triangle formed with the horizontal distance between the two buildings and the opposite leg to the angle of elevation.
The tangent of this angle is the ratio between the opposite leg and the adjacent leg. And the opposite leg is also the height from the height of the observation window to the observed window.
If h is the height from ground level to the second window, we will call h - 40 to the opposite leg and d to the adjacent leg that is also the horizontal distance between the buildings.
tangent(43º) = 0,93251509 = (h - 40)/d
h = tangent(43º)*d + 40 feet = 0,93251509*110 feet + 40 feet = 142.58 feet
Answer = C.) = 140 feet above the ground level is the second window.
Answer:
a. x is equal to 54.5
Step-by-step explanation:
The interior angles of a pentagon will add up to 540. Since it is a regular pentagon, each angle would be 108 degrees. So we can set the value of the angle to 108 and solve for x.
2x - 1 = 108
2x = 109
x = 54.5
Answer:
Example: 5(3x + 8)
= 5(3x) + 5(8)
= 15x + 40
Step-by-step explanation: