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4 years ago

Question 3 the figure needs solving help

Mathematics

2 answers:

AnnyKZ [126]4 years ago

8 0

Answer:

ABC = 60

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

ACD = B+ A

100 = 40 + B

Subtract 40 from each side

100-40 = 40+B -40

60 = B

ABC = 60

kari74 [83]4 years ago

4 0

Answer:

60°

Step-by-step explanation:

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You need to rent a truck for one day to move equipment. FAST Movers will rent the truck for $39.95 per day with unlimited mileag

Gekata [30.6K]

Hi there! :)

Answer:

Cost with FAST Movers: $39.95

Cost with SPEEDY Movers: $38.70

⇒ SO, it would be cheaper to go with the SPEEDY Movers.

Step-by-step explanation:

Since the FAST Movers ask for 1 price only and don't charge for mileage, the cost with the FAST Movers would be $39.95.

For the SPEEDY Movers, they ask for a flat rate of $29.95 and charge $0.35 per mile for all miles over 75 miles.

Since you traveled 100 miles, they would charge you for the extra 25 miles (100 - 75 = 25).

They charge $0.35 for 1 mile, so in order to know how much they charge for 25 miles, you'll need to multiply "0.35" by "25" :

0.35 × 25 = $8.75

So for the SPEEDY Movers, you would be charged $29.95 plus $8.75 for the extra miles:

29.95 + 8.75 = $38.70 ⇒ The cost with the SPEEDY Movers

There you go! I really hope this helped, if there's anything just let me know! :)

7 0

4 years ago

Helpppppppppp assssaaaap

ikadub [295]

<h3>Answer: 250</h3>

==================================================

Explanation:

x = speed of the plane in mph

x-180 = speed of the car, since its 180 mph slower than the plane

For the plane, we can form the equation

distance = rate*time

d = r*t

500 = xt

t = 500/x

For the car, we can say,

d = rt

140 = (x-180)t

140 = (x-180)*(500/x)

140x = 500(x-180)

140x = 500x - 90,000

140x - 500x = -90,000

-360x = -90,000

x = (-90,000)/(-360)

x = 250

The speed of the plane is 250 mph

-----------------------------

Extra info:

The car's speed is x-180 = 250-180 = 70 mph

It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.

6 0

3 years ago

In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could

saul85 [17]

Answer:

a 0.5

b 0.4831

c 0.4354 < P < 0.53008

Step-by-step explanation:

Given that :

Probability (P) of a head or a tail when a coin is being tossed or flipped = 1/2 = 0.5

Sample size (n) = 296

Selected sample (X) = 143

a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?

The proportion of correct responses that would be expected if the touch therapists made random guesses is 0.5

b) Using Emily's sample results, what is the best point estimate of the therapists' success rate?

Point estimate $(p') = \frac{X}{n}$