Answer:
Each book weighs 2.5 pounds.
Step-by-step explanation:
75/2.5 is 30. Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.
Answer:
Step-by-step explanation:
1st rectangle has an area of: h - horizontal sections * l - lateral sections.
A1 = 10 * 10 = 100 units squared
But only a fraction of them are colored.
72 / 100 are colored in the 1st rectangle.
The second has an area of: A2 = 10 * 1 = 10 units squared, but one row in the 2nd rectangle is the same as 10 units in the 1st so the area is still 100 units squared.
But the colored sections are 2/10 or 20/ 100.
Now we subtract 72/100 - 20/100 = 52/100 = 26/50 = 13/25 = 0.52 A
Answer: Vertical angles are congruent.
Step-by-step explanation:
In the given picture, NS and RT are intersecting line segments, intersects at point Q.
We know that when two lines intersect to make an cross, angles on opposite sides of the cross are called vertical angles. These angles are equal by the theorem that says Vertical angles are congruent.
⇒∠NQT ≅ ∠SQR
Therefore, the reason that justifies the step 2 :- ∠NQT ≅ ∠SQR is "Vertical angles are congruent" in the proof.
Answer:
Part 1) The ratio of the sides is 1.5
Part 2) see the explanation
Step-by-step explanation:
Part 1) we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
If Δdef and Δxyz are similar (given problem)
then
substitute the values
solve for FY
When two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
The scale factor is equal to
Part 2) How you could verify that these two triangles are indeed similar.
Remember that
In similar figures the corresponding angles are congruent
so
If
m∠D≅m∠X
m∠W≅m∠Y
m∠F≅m∠Z
then
Triangles are similar
Answer:
9
Step-by-step explanation:
First, write the equation.
C(n) = 4 + 3n
We know that C(n) = 31, so we can substitute it.
31 = 4 + 3n
Subtract 4 from both sides to isolate the term with the variable.
27 = 3n
Divide both sides by 3 to get the variable by itself.
9 = n
