Given:
m || QR
To find:
The measure of ∠QPR.
Solution:
Since m || QR and a transversal line intersect them, therefore the alternate interior angles are equal.
Let points S and T lie on the line m. S is on the right and T is on the left side of point P.
[tex]m\angle RPS=m\angle PRQ[/tex]
[tex]m\angle RPS=45^\circ[/tex]
Now, angles TPQ, QPR and RPS lie on the one side of a straight line. It means, their sum is 180 degrees.
[tex]m\angle TPQ+m\angle QPR+m\angle RPS=180^\circ[/tex]
[tex]50^\circ+m\angle QPR+45^\circ=180^\circ[/tex]
[tex]m\angle QPR+95^\circ=180^\circ[/tex]
[tex]m\angle QPR=180^\circ-95^\circ[/tex]
[tex]m\angle QPR=85^\circ[/tex]
Therefore, the measure of angle QPR is 85 degrees.
Write and graph an equation in two variables that shows the relationship between the time and the distance.
Moves 15 meters in 1 second.
Answer:
The relation between the time and the distance will be:
y = 15x
The graph of the equation y = 15x is attached below.
Step-by-step explanation:
We know that the equation of linear function in two variables in the slope-intercept form is
y = mx+b
where
m is the rate of change or slope b is the y-interceptLet y be the distance
Let t be the time
Given that the object moves 15 meters in 1 second.
Thus, the rate of change or slope = m = 15
As there is no initial condition in our case.
Thus the y-intercept b = 0
Now, substituting m = 15 and b = 0 in the linear function
y = mx+b
y = 15x + 0
y = 15x
Therefore, the relation between the time and the distance will be:
y = 15x
The graph of the equation y = 15x is attached below.
Examples:
Calculate the distance in 1 second
put x = 1 in the equation
y = 15(1) = 15 meters
Calculate the distance in 10 second
put x = 10 in the equation
y = 15(10) = 150 meters
-7 2/3 + (-5 1/2) + 8 3/4 =
A.-21 11/12
B.-4 5/12
C. -4 2/4
D. 6 7/12
Answer: B. -4 5/12
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the point (−6, 6) and has a slope of m=32
Answer:
y = 32x + 198
Step-by-step explanation:
The fastest way to go about this is to establish "m" and plug in the coordinates you want.
y = 32x + b
6 = 32 (-6) + b
6 = -192 + b
198 = b
y = 32x + 198
please help me out with this question!!
show your work!!
20y + 5x=15 solve for x
Answer:
Step-by-step explanation:
15=5x+20y
Simple and best practice solution for 15=5x+20y equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.
18. On Faith's math test, she received
a 85%. If there were 40
questions on the test, how many
did she get right?
Answer: 40/10=4
That means 10% of 40 is 4.
Know that means you have to times 4 by 8
4x8=32
Now you know what 80% of 40 is.
Now we need to know what the 5% is. So if 4 is 10% . 5% must be 2.
Next we have to add 2 to 32.
32 + 2 = 34
Answer is 34
Step-by-step explanation:
Write the algebraic expression 9r+2 as a verbal expression
Answer:
We conclude that the algebraic expression 9r+2 can be verbally expressed in many ways such as:
Two more than 9 times a number, r.9 times a number, r, increase by 2.Step-by-step explanation:
Given the algebraic expression
9r+2
We know that 9r is the product of 9 and 3.
Thus,
9r+2 can be verbally expressed in many ways such as:
Two more than 9 times a number, r.
or it can be also verbally expressed such as:
9 times a number, r, increase by 2.
Therefore, we conclude that the algebraic expression 9r+2 can be verbally expressed in many ways such as:
Two more than 9 times a number, r.9 times a number, r, increase by 2.What is the slope of the line shown below?
Answer:
[tex]m = \frac {1}{4}[/tex]
Step-by-step explanation:
Slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here
[tex](x_1, y_1) = (-3, -1) \ \ and \ \ (x_2, y_2)= (5, 1)[/tex]
Slope can be calculated as
[tex]m = \frac{1-(-1)}{5-(-3)}[/tex]
[tex]m = \frac{2}{8} \\m = \frac {1}{4}[/tex]
13.
What is the image of E for a dilation with center (0,0) and a scale factor of 6?
(-30, 1)
(30, 6)
(-30, 6)
(30, -1)
Answer:
1- -5, 7
2- 5,12
3- -5,0
4- 5,-7
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
-30,6
:)
an elementary school had an election for student council member 60 5th grade students will learn of student council election if 2/3 of students who voted for girls how many boys were there in the student council election
Answer:
20
Step-by-step explanation:
Simplify:
8x+3(x+5)−5(x−4)
Answer:
6x+35
Step-by-step explanation:
Answer:
6x + 35
Step-by-step explanation:
8x + 3x + 15 - 5x + 20
11x - 5x + 15 + 20
6x + 35
Please mark as Brainliest!!!out of these numbers which of them differ by 46. 29,17,38,71,35,63,24
Answer:
71
Step-by-step explanation:
Add 46 to each number, see if the sum is in the list. In the set of 7 numbers listed, two of them are even (24 and 38), and the other 5 numbers are odd
71
We do not need to look at all differences.
We need to find two numbers fairly far appart,
and not all look promising.
You could look at approximate differences,
or you could look at the last digit.
71-35 and 63-17 are the only promising differences,
because 71 and 63 are the only numbers large enough to be 46 more than another number in that list,
and when you calculate the last digit you calculate
11-5=6 and 13-7=6.
71-35=36
Which of the following is a linear function
(Flvs)
Answer:
The second one
Step-by-step explanation:
a linear function is one who's graph is a straight line.
A parabola is not linear.
Anything in the form k/x is not linear either.
5/6x = y-4
gives
y = 5/6x+4, which is a linear equation
Heyy guys having trouble with this im new to it from today . If u dont mind helping :)
Answer:
76
Step-by-step explanation:
total=180
180-104=76
Which expression has three terms when simplified?
2xy
2 + xy
2x + x + y
2 + x + x - y
Answer:
3x+y
Step-by-step explanation:
hope this helps!
On Monday, the temperature was 40°F. On Tuesday, the temperature increased 3°F. On Wednesday, the temperature decreased 15°F. What integer represents the overall change in temperature from Monday to Wednesday?
Answer:
Step-by-step explanation:The answer is - 12 because the temperature started changing when it raised 3+ and then it changed again by dropping -15 so, then you do 3-15 and that equals (-12).
+8.2+(−7.9)=
−7.2+(+6.4)
+5.7+(+3.5)
−5.7+(−3.5)
−5.7+(+3.5)
+5.7+(−3.5)
Answer:
Step-by-step explanation:
7
6-
Progr
5
4-
Introdu
3
С
2
1+
1
20
Transla
-7 -6 -5 -4
-32
1
À 3 4 5 6 7
-2
-3
Quiz 1
-4+
A
-5
Unit
Do 5 problems
Convert the fractions to decimals using long division 4/7
Answer:
0.57142857142
Step-by-step explanation:
it goes on and on tho
Answer:
= 0.57142
Step-by-step explanation:
We have the equation:
4 ÷ 7 = 0.57142
Calculated to 5 decimal places.
PLEASE HELP!!!
need the answer soon!
Answer:
E. 11
Step-by-step explanation:
Replace the m with 11.
11-8[tex]\leq[/tex] 2 this would simplify to
3 [tex]\leq[/tex]2 which is false.
However if you took m and replaced it with 10
10-8[tex]\leq[/tex]2 and simplified
2[tex]\leq[/tex]2 which is true. Therefore any number 10 or lower would make this true.
The radius of a circle is 12 m what is the area
Answer:
The area is 452.3
Step-by-step explanation:
A= 3.14r2
A= 3.14 times 12~2
A= 452.2
SOMEBODY FAST ITS DUE 8:00 I WILL MARK YOU HAS BRAINLIEST
Answer:
15.1
Step-by-step explanation:
The equation to solve this is 12.3 - -2.8. Since there are two negatives, it becomes a positive.
Therefore the equation becomes 12.3 + 2.8 and the answer is 15.1
Simplify the expression (3.5x - 2.7y) + (-12.8x + 15.8y)
Answer:
-9.3x + 13.1y
Step-by-step explanation:
(3.5x - 2.7y) + (-12.8x + 15.8y) = 3.5x - 2.7y - 12.8x + 15.8y =
= 3.5x - 12.8x - 2.7y + 15.8y = (3.5 - 12.8)x - (2.7 - 15.8)y =
= -(12.8 - 3.5)x + (15.8 - 2.7)y = -9.3x + 13.1y
because
-(-a) = a
-(a + b) = -a - b
-(a - b) = -a + b = b - a
a + (-b) = a - b
Solve each equation.
3) 4= 2x + 3.x
Answer:
Step-by-step explanation:
2x+3x=4
5x=4
x=4/5
At 7:00 am, the temperature was -4°F. At 9:00 am, it was 8' warmer. What was the temperature at 9:00 am?
a sphere has a volume of 4500 cubic inches. What is the radius off the shpere
Answer:
The radius of sphere with volume 4500 cubic inches is 10.24 inches.
Step-by-step explanation:
Let V be the volume of the sphere
Given
Volume of sphere = V = 4500 cubic inches
Let r be the radius of the sphere
The volume of the sphere is given by the formula
[tex]V = \frac{4}{3}\pi r^3[/tex]
Putting the known values
[tex]4500 = \frac{4}{3} * \frac{22}{7} * r^3\\4500 = \frac{88}{21} * r^3\\r^3 = \frac{21}{88} * 4500\\r^3 = 1073.8636[/tex]
Taking cube root on both sides
[tex]\sqrt[3]{r^3} = \sqrt[3]{1073.8636} \\r = 10.2403[/tex]
Rounding off to nearest hundredth
The radius is: 10.24 inches.
Hence,
The radius of sphere with volume 4500 cubic inches is 10.24 inches.
Which is the mode of this data? 12, 19, 22, 17, 15, 18, 15, 14, 16
Answer: 15
Step-by-step explanation:
The mode of the data set 12, 19, 22, 17, 15, 18, 15, 14, 16 will be 15.
What is mode of data?A mode is described as the result in a group of items that occurs most frequently.
The data is given below.
12, 19, 22, 17, 15, 18, 15, 14, 16
Arrange the data in ascending order.
12, 14, 15, 15, 16, 17, 18, 19, 22
Then the mode of the data set will be 15.
More about the mode of data link is given below.
https://brainly.com/question/22660714
#SPJ2
I need help with this please
Which method would be appropriate to factor the polynomial below. 55x^3-40x^2 -Difference of Squares -Basic Trinomial Factoring -AC Method -Sums of Cubes -Greatest Common Factor -Factors by grouping
Answer:
Greatest Common Factor
Step-by-step explanation:
Let [tex]55\cdot x^{3}-40\cdot x^{2}[/tex], we proceed to demonstrate the appropriate form to factor the polynomial:
1) [tex]55\cdot x^{3}-40\cdot x^{2}[/tex] Given.
2) [tex](5\cdot 11)\cdot (x^2\cdot x) +[5\cdot (-8)]\cdot x^{2}[/tex] Definition of multiplication and subtraction/[tex]a^{b+c} = a^{b}\cdot a^{c }[/tex]/[tex]-a\cdot b = (-a)\cdot b[/tex]/Associative property
3) [tex](5\cdot x^{2})\cdot (11\cdot x)+ (5\cdot x^{2})\cdot (-8)[/tex] Commutative and associative properties
4) [tex]5\cdot x^{2}\cdot (11\cdot x-8)[/tex] Distributive property/Definition of subtraction/Result
Hence, we conclude that this polynomial can be factored by Greatest Common Factor.
IN NEED OF HELP PLZ :(((((((((
Answer:
Slope is 2 and Y-intercept is 3
Step-by-step explanation:
I use the slope formula
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{3-1}{0-(-1)}[/tex]=[tex]\frac{2}{1} =2[/tex]
Answer:
rawwwwwww
Step-by-step explanation:
GIVING BRAINLIEST TO WHOEVER GETS QUESTION 8 AND 9 RIGHT!!
Answer:
1 toonie 1 quarter 1 dime
2 loonies 1 quarter 2 dimes 1 nickel
Step-by-step explanation:
Answer:
C
none of the others are correct for 9
Step-by-step explanation: