Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°
<u>Step-by-step explanation:</u>
Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL
KM ≅ LM
3x + 23 = 7x - 37
23 = 4x - 37
60 = 4x
15 = x
KM = LM = 3x + 23
= 3(15) + 23
= 45 + 23
= 68
KL = 9x - 40
= 9(15) - 40
= 135 - 40
= 95
Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.
- Since N is the midpoint of KL and KL = 95, then NL = 47.5
- Since ∠N is 90°, then NL is adjacent to ∠l and ML is the hypotenuse
Use trig to solve for ∠L (which equals ∠K):
cos ∠L = 
cos ∠L = 
∠L = cos⁻¹ 
∠L = 45.7
Triangle sum Theorem:
∠K + ∠L + ∠M = 180°
45.7 + 45.7 + ∠M = 180
91.4 + ∠M = 180
∠M = 88.6
Answer:
f ( - 2 ) = - 2
Step-by-step explanation:
Step 1:
f ( x ) = 3x + 4 Equation
Step 2:
f ( - 2 ) = 3 ( - 2 ) + 4 Input x value
Step 3:
f ( - 2 ) = - 6 + 4 Combine Like Terms
Answer:
f ( - 2 ) = - 2 Combine Like Terms
Hope This Helps :)
Answer:
B
Step-by-step explanation:
1 is 100% so increasing it by 12% means adding 0.12 to it
Answer:
Distance between the points = 10 units
Step-by-step explanation:
Given points:
(0,-2) and (-8,-8)
To find the distance between the two points.
Solution:
Applying distance formula to find the distance between the points.
For points 
and 
the distance is given as:
Plugging in the given points in the formula.
Since distance is always positive. So 
units.
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
