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
Answer:
He will read 92 pages in an hour going by the current rate at which he reads
Step-by-step explanation:
The complete question is as follows;
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour
We proceed as follows;
If he reads 1/5 of 115 in 1/4 hour
1/5 of 115 pages refer to 1/5 * 115 = 23 pages
This means that he reads 23 pages in quarter of an hour
So in an hours the number of pages he will read will be 23 * 4 = 92 pages
Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are

The volume of the box is equal to


so

simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A

solve for y

Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x

therefore
The original length was 41 inches and the original width was 16 inches