Answer:
B= A = 68
Step-by-step explanation:
ACE = BCD similar triangles. Similar triangles have equal angles.
A=B
C=C
D=E
This means if we can find angle B, we know angle A
BCD is a triangle so it equals 180 degrees
B+C+D = 180
B + 74+38 = 180
Combine like terms
B +112 = 180
Subtract 112 from each side
B +112-112 = 180-112
B = 68
Since we know angle B, we know angle A
B= A = 68
Answer:
Step-by-step explanation:
Well.. First of all, the question says that we are working with a rectangle..
So, the rectangle has a length and width. I'll call them L and w.
Look at this phrase: " length that is one foot less than twice its width"
it means, in a algebraic language: L = 2w - 1
Let's analysis the next phrase: "it the area of the rectangle is 91 square feet"
So, A = 91 ft²
But you have to remember that the rectangle area is a product of L and w.
L x w = 91
They are the following equations that you could be used to solve the system of equations.
Now, you have a system of equations and I suggest you to solve it using the substituition method.
L = 2w - 1
L x w = 91
Answer:
2
Step-by-step explanation:
the answer is 2 ..........
Answer: 75°
Step-by-step explanation:
Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:
x + 5 + 3x + 3x = 180
simplify
7x + 5 = 180
subtract 5 from both sides
7x = 175
divide each side by 7
x = 25
plug 25 in for x to find the angle measure
3(25) = 75
To solve this formula for T, divide both sides of the original equation by PR:
I PRT
------ = --------- => T = I / (PR)
PR PR
Please note: Because the formula I = PRT involves neither addition nor subtraction, the final formula for T cannot involve either addition nor subtraction. That leaves:
T = I P/R
T= IPR
The second formula here is incorrect; we cannot solve I = PRT for T simply by rearranging the order of the variables. This leaves T = I P/R as a possible answer, but this answer does not agree with my T = I / (PR). Please double check to ensure that you have copied down the four possible answers correctly.