Answer:
x = 10
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.
In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.
Establish the following equation according to the exterior angle theorem:
< V + < W = < JUV
88° + (5x + 1)° = (14x - 1)°
Solve for x algebraically:
88° + 5x + 1 = 14x - 1
89 + 5x = 14x - 1
89 + 1 + 5x = 14x - 1 + 1
90 + 5x = 14x
90 + 5x - 5x = 14x - 5x
90 = 9x
90/9 = 9x/9
10 = x
Therefore, the value of x = 10.
Answer:
120
Step-by-step explanation:
3*4(10) =
3*40 = 120
Hope this helps!
Answer:
Step-by-step explanation:
0.75s-5/8s=44
Convert 0.75 to a fraction and then reduce
3/4s-5/s=44
Multiply both sides by 8
8(3/4s-5/8s)=8*44
Distribute 8 through the parenthesis
8*3/4s-8*5/8s=8*44
8*44= 352
Reduce the numbers with the greatest common divisor 4
2*3s-8*5/8s=352
Reduce the numbers with the greatest common divisor 8
2*3s-5s=352
Calculate the product
6s-5s=352
Collect like terms
s=352
Answer: Greatest number is 4. Each would have 4 roses, 9 tulips and 5 daises
Step-by-step explanation: HCF is 4 so
16\4 = 4
20\4 = 5
36\4 = 9
