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777dan777 [17]
2 years ago
4

Triangle PQR,Triangle RST,and two angle measures are shown below. Line segment QT intersects line segment PS at a point R. What

is the value of x ?

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
4 0
Hope this helps!!!!!

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Select the factors of 6ab + 3ay − 2bx − xy.
V125BC [204]
Answer
<span>A. (3a − x)(2b + y)

cause

</span><span> (3a − x)(2b + y) = 6ab + 3ay -2bx -xy (expand by using distributive property)</span>
3 0
2 years ago
Read 2 more answers
At a college, 69% of the courses have final exams and 42% of courses require research papers. Suppose that 29% of courses have a
laila [671]

Answer:

a) 0.82

b) 0.18

Step-by-step explanation:

We are given that

P(F)=0.69

P(R)=0.42

P(F and R)=0.29.

a)

P(course has a final exam or a research paper)=P(F or R)=?

P(F or R)=P(F)+P(R)- P(F and R)

P(F or R)=0.69+0.42-0.29

P(F or R)=1.11-0.29

P(F or R)=0.82.

Thus, the the probability that a course has a final exam or a research paper is 0.82.

b)

P( NEITHER of two requirements)=P(F' and R')=?

According to De Morgan's law

P(A' and B')=[P(A or B)]'

P(A' and B')=1-P(A or B)

P(A' and B')=1-0.82

P(A' and B')=0.18

Thus, the probability that a course has NEITHER of these two requirements is 0.18.

3 0
2 years ago
Gina has 5 2/6 feet of silver ribbon and 2 4/6 of gold ribbon. how much more silver ribbon does gina have than golden ribbon?
MrRissso [65]
To answer the question above, we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,
                                5 2/6 feet - 2 4/6 feet = 8/3 feet 
Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon. 
8 0
2 years ago
Read 2 more answers
The circle graph shows how the annual budget for a company is divided by department. If the amount budgeted for Media and Sales
Tcecarenko [31]

Answer:

125,000,000

Step-by-step explanation:

In percentage,

Media + Sales = 3 + 17 = 20%

Let total budget be "t", so we can say:

20% of total budget is 25,000,000

"of" means "multiplication" and "is" means "equal to", so we can convert word equation to algebraic equation. Shown below:

20% * t = 25,000,000

20% = 20/100 = 0.2

Thus, the final equation is:

0.2t = 25,000,000

Solving for t, we get:

0.2t = 25,000,000\\t=\frac{25,000,000}{0.2}\\t=125,000,000

The total budget is (125 million) = 125,000,000

7 0
2 years ago
Starting from rest, a DVD steadily accelerates to 500 rpm in 1.0 s, rotates at this angular speed for 3.0 s, then steadily decel
DedPeter [7]

Answer:

37.5 revolutions

Step-by-step explanation:

The average rotation speed for the first second and for the last two seconds is:

V_1 = \frac{0+500}{2}\\ V_1 = 250\ rpm

For the next 3.0 seconds, the rotation speed is V = 500 rpm.

The total number of revolutions, converting rpm to rps, is given by:

n=\frac{1*V_1+3*V+2*V_1}{60}\\n=\frac{1*250+3*500*2*250}{60}\\n=37.5\ revolutions

The DVD makes 37.5 revolutions.

6 0
2 years ago
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