Answer:
x = 22 degrees
Step-by-step explanation:
Since this is a right angle and both angles added together will equal to 90degrees this means that:
(3x-5) + (x+7) = 90
(first, remove the brackets)
3x-5+x+7 = 90
( add the numbers together and the term x together)
( 3x+x ) + ( -5+7 ) = 90
4x + 2 = 90
(subtract 2 from both sides)
4x = 88
(divide by 4 from both sides)
x = 22
so the measure of x = 22 degrees
Answer:
3.1
4.2
5.2
42
Step-by-step explanation: Just copy the other cone and find half of the diameter to find the radius the cones are congruent.
Answer:
10.4 cm
Step-by-step explanation:
The volume (V) of a pyramid is calculated using
V = 
area of base × height (h)
area of square base = 6² = 36, thus
× 36h = 120
12h = 120 ( divide both sides by 12 )
h = 10 cm
To find the slant height (s) consider the right triangle from the vertex to the midpoint of the base and from the midpoint of base to the side.
That is a right triangle with hypotenuse s and legs 10(h) and 3 (midpoint of the base )
Using Pythagoras' identity then
s² = 10² + 3² = 100 + 9 = 109
Take the square root of both sides
s = 
≈ 10.4 cm
13/15 of her allowance was spent in total.
To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.
Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.
Then, you add the two fractions together (10/15 + 3/15 = 13/15).
Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.
Hope this helped!!!
