Answer: x=40°
Step-by-step explanation:
The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40
When it hits the ground h = 0 so we have
-16t^2 + 36t + 4 = 0
t = 2.36 seconds to nearest hundredth.
Answer:
#1) D frequency data that can be plotted on a number line
; #2) A Sarah read twice as many chapters Wednesday as Monday, C Sarah read more than four chapters on two days, F Sarah read at least three chapters on four days, and H The total number of chapters Sarah read on the weekend was the same as the total number she read on the weekdays.
Step-by-step explanation:
#1) A line plot shows the frequencies of data. It is displayed over a number line; this makes the best choice for the answer "frequency data that can be plotted on a number line."
#2) We can see that Sarah read 2 chapters on Wednesday and 1 chapter on Monday. This is twice as many chapters.
She read more than 4 chapters on both Saturday and Sunday.
She read 3 or more chapters on Tuesday, Friday, Saturday and Sunday.
The total number of chapters she read on the weekend was 5+6 = 11. The total number of chapters she read on the weekdays was 1+3+2+2+3 = 11. These are the same.
Answer: 11113200
Step-by-step explanation:
We know that , the number of combination of choosing r things from n things is given by :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-


∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200
X = # of posters, y = total cost
y = 2x + 250
y = 1000
1000 = 2x + 250
1000 - 250 = 2x
750 = 2x
750/2 = x
375 = x....so 375 posters can be printed
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y = total cost, x = # of miles
y = 3x + 3
y = 117
117 = 3x + 3
117 - 3 = 3x
114 = 3x
114/3 = x
38 = x.....so the car was towed 38 miles