Choose the linear Inequality that describes the graph. The gray area represents the shaded region.

Answer:

Diagram 1:

a = 54°

b = 54°

Diagram 2:

a = 74°

b = 106°

c = 106°

d = 65°

e = 65°

Step-by-step explanation:

Diagram 1:

a = 54° (alternate angles are equal)

b = a (vertically opposite angles are equal)

a = 54°

Therefore,

b = 54°

Diagram 2:

a = 74° (alternate angles are equal)

a + b = 180 (sum of angles on a straight line)

74 + b = 180

Collect like terms

b = 180 – 74

b = 106°

74 + c = 180 (sum of angles on a straight line)

74 + c = 180

Collect like terms

c = 180 – 74

c = 106°

d = 65° (corresponding angles are equal)

e = d (vertically opposite angles are equal)

d = 65°

Therefore,

e = 65°

Answer:

484

Step-by-step explanation:

22 times 22

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]

[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]

[tex]\frac{6}{x}= \frac{8}{12}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]

y = [tex]\frac{12\times 4}{8}[/tex]

y = 6

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

Answer: OD) 216

Step-by-step explanation: 6^3 multiple it three times 6x6x6=216

Answer:

He loses 100 Rs. during the process of buying and selling.

Step-by-step explanation:

1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.

2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.

3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.

4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.

( Now there are 2 scenarios in this case )

1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.

2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .

( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )

I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.

I hope this helped have a good day!

Answer:

Profit %= 50%

Step-by-step explanation:

Price for 40 bulbs: Rs.800

Price for 1 bulb each: 800/40= Rs 20

Price for 10 bulbs= 10*20=Rs. 200

This means that Rs. 200 were wasted due to 10 bulbs being broken.

The remaining bulbs; 30 are sold at a price of Rs 30 each.....

In reality, the price of the remaining 30 bulbs: 30*20=600

Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900

Profit=  SP-CP; Profit= 900- 600= Rs 300

Profit%= 300*100/600= 50%

Answer:

f(n)=17+3(n-1)

f(17)=65

Step-by-step explanation:

arithmetic  sequences are in form:

f(n)=f(o)+d(n-1)

f(1)=17=f(0)

f(n)=17+3(n-1)

f(17)=17+3(16)=65

Answer:

8%

Step-by-step explanation:

For simple interest, we use the equation I = PRT, where I is the interest earned, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is the time in years.

For this problem, we have to use 0.5 for T, because 6 months is 1/2 a year.

20 = (500)(r)(0.5)

20 = 250r

r = 0.08 = 8%

Answer:

He made $414.90 in all.

Step-by-step explanation:

56.25 * 6 = $337.50

25.80 * 3 = $77.40

77.40 + 337.50 = $414.90

Answer:x=2y=3

Step-by-step explanation: I did this before

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

Answer:

The correct answer is B. Financial analysis.

Step-by-step explanation:

Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.

Answer:

B.

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

2(x+19)=39.2

x+19=19.6

x=0.6

Answer:

c) FJ and GH

Step-by-step explanation: