Find a. Round it to the nearest tenth

A statement and portions of the flowchart proof of the statement are shown. which statement should appear in the box labeled 1?

blondinia [14]

The answer is Linear pair postulate. The linear pair postulate is a concept <span>used in conceptual geometry and engineering. It describes the relationship between two angles that form a linear pair, particularly when their values are added together, according to the Geometry Center at the University of Minnesota.</span>

7 0

3 years ago

Hilda has deposited $874 in a savings account that earns interest at a rate of 3.2% compounded quarterly. What will the account

Fantom [35]

The formula is
A=p (1+r/k)^kt
A future value?
P present value 874
R interest rate 0.032
K compounded quarterly 4
T time 7 years
A=874×(1+0.032÷4)^(4×7)=1,092.46

7 0

3 years ago

Stamps are sold in booklets of 100,50 an 10 find as many different ways to buy 200 stamps

KATRIN_1 [288]

It would just be 20 packages of ten, 4 packages of 50, 2 of 100, 1 100 + 2 50, 1 100+ 1 50 + 5 10, and so on, you just keep adding them up different ways to make 200

6 0

3 years ago

Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD Worl

polet [3.4K]

Answer:

Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115

Step-by-step explanation:

Let x represent the number of items Ace Electronics buys

Let y represent the number of items Hi-Fi Stereo buys

Let z represent the number of items CD World buys

Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:

x + y + z = 195 (1)

Since CD World buys 35 more units than the other two stores combined:

z = x + y + 35 (2)

If you substitute z in equation 1 from equation 2:

x + y + (x + y + 35) = 195

2(x + y) = 195- 35

x + y = 80 (3)

Since z = x + y + 35:

z = 80 + 35

z = 115

Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750

170x + 165y + 160z = 31750 (Substitute x from equation 3 and z as 115)

170(80-y) + 165y + 160(115) = 31750

13600 - 170y + 165y + 18400 = 31750

32000 - 5y = 31750

5y = 250

y = 50

Since x + y = 80:

x + 50 = 80

x = 30

3 0

3 years ago

The formula for the area of a trapezoid is A = 1/2 (b+b) h. Explain why the bases of a trapezoid need to be added in the formula

posledela

Step-by-step explanation:

Look at the picture.

We connect two congruent trapezoids as in the picture.

We created a parallelogram with a base length of b₁ + b₂ and a height h equal to the height of the trapezoid.

The formula of an area of a parallelogram:

$A_p=(base)(height)\to A_p=(b_1+b_2)h$

The area of the trapezoid is half of the parallelogram area.

Therefore we have the formula of an area of trapezoid:

$A_t=\dfrac{(b_1+b_2)h}{2}$

Therefore we need to be added the bases of a trapezoid.

3 0

4 years ago