Answer:
m<4=40
Step-by-step explanation:
Supplementary angles form 180 degrees
m<3 is vertical to the 50 degree angle which is equal.
so. m<3=50
m<5=90
90+50=140
180-140=40
m<4=40
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
<h3>How to form a linear equation</h3>
Let the time taken to play basketball be "x"
Let the time taken to play volleyball be "y"
According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;
x + y = 95
If he plays basketball for 25 minutes long, then;
x = 25
The pair of linear equations that represents the statement are:
x + y = 95
x = 25
The time it takes Eric to play volleyball every day is expressed as:
y = 95 - x
y = 95 - 25
y = 70 minutes
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
Learn more on linear equations here: brainly.com/question/14323743
Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Answer:
28 baskets
Step-by-step explanation:
The equation for a linear trend line is given by:
y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x is zero).
The equation of a line passing through two points
is:

y represent the number of baskets made and x represents the time take. Given that the line passes through the points (0, 11) and (100, 33), hence:

The number of baskets Romy would make after practicing for 80 minutes (x = 80) is:

Your question does not make sense unless you can estimate but the answer would be 20.625
Work:
You have to multiply 5.50 to 3.75 because 45 is 75 percent of 60