Answer:
Step-by-step explanation:
lets say "a" for the empty line,
for small triangle; y^2 = 2^2 + x^2
right triangle; we say a for empty line, a^2= 6^2 + x^2
and big triangle covering both triangles, 8^2 = y^2 + a^2
lets add left sides and right sides in each;
x^2 + 4 + x^2 + 36 + y^2 + a^2 = y^2 + a^2 + 64 and we can delete same things for both sides
y^2 and a^2 can be deleted and 4+36 - 64
2(x^2)=24
x^2= 12
and x will be √12
so, y^2 = x^2 + 2^2 which means y^2 = 12+4 y=16
How many crayons are there in total? The answer is 9 boxes multiplied by 8 crayons which equals 72 total crayons.
<h3>Answer:</h3>
All acute angles are 72.5°; all obtuse angles are 107.5°.
<h3>Explanation:</h3>
Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...
... o + a = 180
... o - a = 35
Adding these two equations gives ...
... 2o = 215
... 215/2 = o = 107.5 . . . . degrees
Then the other angle is ...
... a = 107.5 - 35 = 72.5 . . . . degrees
_____
All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.
Answer: 40 pounds of cashews should be mixed with the peanuts to ensure no change in the revenue
Step-by-step explanation:
Let x represent the number of pounds of cashews that should be mixed with the peanuts to ensure no change in the revenue.
The nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound.
In order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. It means that
4x + (1.5 × 60) = 2.5(60 + x)
4x + 90 = 150 + 2.5x
4x - 2.5x = 150 - 90
1.5x = 60
x = 60/1.5
x = 40
Answer:
5 x + 3 = 23
Step-by-step explanation:
