Answer:
Step-by-step explanation:
<u>Verify each statement</u>
case A)
The statement is True
we know that
The measure of angle A is equal to the angle marked 
by corresponding angles
case B) ∠B and the angle marked 
are alternate exterior angles
The statement is False
Because, ∠B and the angle marked are corresponding angles
case C) because it is a vertical angle to the angle marked 
The statement is True
we know that
------> by vertical angles
case D) ∠B and ∠C are supplementary angles
The statement is False
we know that
---> the sum is less than 
case E)
The statement is True
we know that
and remember that
so
substitute
What I would do is find the common denominator for both fractions. The common denominator in this case would be 24 seeing as both 3 and 8 go into 24 evenly. 1/3 would equal to 8/24 by multiplying both 1 and 3 by 8 and 3/8 would equal to 9/24 by multiplying both 3 and 8 by 3. Add 8 and 9 from the fractions 8/24 and 9/24 which would give you 17/24. To find the remaining section of the circle, subtract 17 from 24 which would give you 7/24. 7/24 doesn't reduce any further so your answer would be 7/24 of the circle is shaded.
Answer:
I believe it’s the 3rd one.
Explanation:
It’s the only graph where it looks like (2.5,5) was graphed.
Answer:
, ∠C ≅∠Z
, ∠A≅∠X
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
In this problem
The corresponding sides are
BA and YX
BC and YZ
AC and XZ
The corresponding angles are
∠A and ∠X
∠B and ∠Y
∠C and ∠Z
so
and
∠A≅∠X
∠B≅∠Y
∠C ≅∠Z
therefore
, ∠C ≅∠Z
, ∠A≅∠X
Given:
price = 1,250
sales discount = 15%
sales tax = 6.5%
The problem is unclear whether the price is the original price or the discounted price. I am assuming that the price is the original price.
Original price times sales discount rate is the value of sales discount
1,250 x 15% = 187.50
Original price less the value of sales discount is the discounted price.
1,250 - 187.50 = 1,062.50
Discounted price times sales tax rate is the value of the sales tax
1,062.50 x 6.5% = 69.06
Discounted price plus sales tax is the total cost of the purchase
1,062.50 + 69.06 = 1,131.56
