Answers
==============================================
Explanation:
Because S and T are midpoints of segments PQ and QR, we know that ST is a midsegment of triangle PQR. Consequently, this means ST is parallel to PR.
From the same side interior angle theorem, the angles (11x-3) and (5x-9) are supplementary angles. This is only true because of the parallel lines.
So we can say the following:
(angle P) + (angle S) = 180
(5x-9) + (11x-3) = 180
(5x+11x) + (-9-3) = 180
16x - 12 = 180
16x = 180+12
16x = 192
x = 192/16
x = 12
--------------------------
Use this to find angle PST
angle PST = 11x-3
angle PST = 11*12-3
angle PST = 132-3
angle PST = 129 degrees
--------------------------
Optionally we can find angle QPR
angle QPR = 5x-9
angle QPR = 5*12-9
angle QPR = 60-9
angle QPR = 51 degrees
As a check, adding the two angles we found should get us 180
(angle PST)+(angle QPR) = 129+51 = 180
The answer checks out.
Related Questions
What percent of 40 is 20?
Answers
Answer:
8
Step-by-step explanation:
When doing these types of problems, we convert the percent to a decimal. In this case,
40%=0.4
0.4*20=8
Answer:
200%
Step-by-step explanation:
20 = 100% (in this case)
40 = 200% (because you multiply both sides to get 40)
Therefore, 40 is 200% of 20.
a line through the point (5,-2) and parallel to the line 4x+6y=10
Answers
Answer: y = mx + b
4x - 6y = 10
-6y = -4x + 10
y = (-4/-6)x + 10/-6
y = (2/3)x - 5/3
m = 2/3
b = -5/3
Step-by-step explanation:
Hello Guys it’s FreeGiftCardCodes I’ll be posting PS4 Xbox apple And Nintendo switch Gift cards ILL send a 2 when I get to 5 followers so add me if you want one And thank me also
Answers
Answer:
alright bet
Step-by-step explanation: ayyyeeeee
Answer:
Alright bro I will add you and thank you
Step-by-step explanation:
Please help!!
Find x and CB
Answers
Answer:
x is -9
CB is 10
Step-by-step explanation:
In order to solve this question we need to figure out what x is first
First we do
2(x+19)=x+29
Then we get 2x+28=x+29
subtract and divide to get
x=-9
Plug in the x to get CB
-9+19=10
Use the distributive property to remove the parentheses.
(w+11)8
Answers
Answer:
Done!
Step-by-step explanation:
8(w + 11)
8w + 88
9514 1404 393
Answer:
8w +88
Step-by-step explanation:
Each of the terms inside parentheses multiplies the factor outside:
(w + 11)8 = w·8 +11·8 = 8w +88
3) Monica is listening to Spotify. She noticed that during one hour, 15 songs were played and 3 of them were country. What is the ratio of country songs to the number of songs played? *
A:5/1
B:1/15
C:1/3
D:1/5
Answers
Answer:
D. 1/5
Step-by-step explanation:
The ratio would be 3/15 and when it's reduced it is 1/5
I hope this helps
Find the total surface area of this square based
pyramid.
10ft
10 ft
[? ]ft?
Answers
Answer:
300 [tex]ft^{2}[/tex]
Step-by-step explanation:
area of triangle= [tex]\frac{b*h}{2}[/tex]
[tex]\frac{10*10}{2}[/tex] = 50
4 sides of the triangle
4*50=200
area of square= l*w
10*10=100
area of square+area of triangles
200+100=300
_[tex]ft^{2}[/tex]=300[tex]ft^{2}[/tex]
Answer: 300
Step-by-step explanation:
The graph represents this system of equations. A system of equations. y equals 4. y equals 3 minus StartFraction on-half EndFraction x. A coordinate grid with 2 lines. The first line passes through (negative 2, 4) and (0, 3). The second line passes through (negative 2, 4) and (0, 4). What is the solution to the system of equations?
Answers
Answer:
A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.
Solve the system of equations algebraically. Verify your answer using the graph.
y = 4x – 5
y = –3
What is the solution to the system of equations?
((StartFraction one-fourth EndFraction, negative 3), –3)
((StartFraction one-half EndFraction, negative 3), –3)
(–3, (negative 3, StartFraction 2 over 3 EndFraction))
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
i just did it
The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π? A cone with a right triangle formed from its dimensions; the value of the height is h, and the value of the slant height is y; the height x and the radius form a right angle at the center of the cone.
Answers
Answer:
142.1π in³
Step-by-step explanation:
Given that:
The radius (r) = 7 in
The slant height (y) = 25 in
Then the height (x) can be determined by using the Pythagoras rule:
y² = x² + r²
25² = x² + 7²
125 = x² + 49
125 - 49 = x²
x² = 76
x = √76
x = 8.7
The formula for the volume of a cone is;
= 1/3 πr²h
where;
height(h) is calculated as "x" from above = 8.7
Then;
= 1/3 × π × (7 in)² × 8.7 in
= 142.1π in³
Answer:
its A. 392
Step-by-step explanation:
took the test. hope this helps
While Justin is in training he has to drink 500 ml of water per day. How many liters will that be for one week?
Answers
Answer:
3.5 Liters
Step-by-step explanation:
Since 500 ml is equal to 0.5 liters and there are 7 days in a single week you just need to multiple the number of liters (0.5) by the 7 days to get a total of 3.5 liters
Find the area of this sector.
19cm length on side 118degree angle in centre
Answers
Answer:
87.68 cm²Step-by-step explanation:
Arc length:
118*2πr/360 = 19 cm118*3.14r/180 = 19r = 19*180/118*3.14r = 9.23 cmArea of sector:
A = πr²*118/360 A = 3.14*9.23²*118/360A = 87.68 cm²What is the simplified value of the expression below?
Negative 2.6 + 5.8
Answers
Answer:
3.2
Step-by-step explanation:
A shop sells chocolate, vanilla, and strawberry ice cream cones. If 45% of the ice cream sold is chocolate and 17% is strawberry, what percent that is sold is vanilla?
Answers
Answer:
38 %
Step-by-step explanation:
45 + 17 is 62. Soif you add 38% + 62% you'll get 100% !
Hope this helps! ^O^
Find the slope and a point on the line. y-9=-1/3(x-4)
Answers
Answer:
slope- -1/3
a point: (0, [tex]\frac{31}{3}[/tex])
Step-by-step explanation:
y-9= -1/3(x-4)
y-9= -1/3x+4/3
y= -1/3x+31/3
to find a point:
y= -1/3(0)+31/3
y=31/3
(this happens when x= 0, so the point is (0,31/3)
Answer:
m=-1/3
Point: (4,9)
Step-by-step explanation:
i just took the question and got it right on ed2020
graph the function -4x + 3y = 15
Answers
What are two coordinates on this graph?
Answers
Answer:
(0,5) and (6,0)
Step-by-step explanation:
please helppppppp :(((
Answers
Answer:
y = 1/2x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points from the graph.
x-intercept (2, 0)
y-intercept (0, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-0}{0-2}[/tex]Subtract: [tex]m=\frac{-1}{-2}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]Step 3: Write linear equation
y = 1/2x - 1
Answer:
its y = 1/2 x - 1
Step-by-step explanation:
why did math tutor delete my question?!?!??!
please help im struggling
Answers
Answer:
a = 6
b = 3
c = 2
Step-by-step explanation:
Since n(P) = a+b = 9
and n(Q) = b+c = 5
and b is given to be 3
a and b follow easily.
a is 9-b = 9-3 = 6
c is 5-b = 5-3 = 2
What is the equation of the line that goes through (-3,-1) and (3,3)
Answers
Answer:
3
Step-by-step explanation:
what are the six regions of the united states
Answers
Answer:
New England.
Mid-Atlantic.
The South.
Mid-West.
The Southwest.
The West.
Step-by-step explanation:
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
x g(x)
0 $600
3 $720
6 $840
Part D: What is the balance in the bank account after 7 days? (2 points)
Answers
Answer:
880
Step-by-step explanation: Every three days the balance increases by 120 so you would divide 120 by 3 to get 40. This would mean that the balance increases by 40 everyday so after seven days the balance would be 880
Solve for X
-18x + 21 > - 15 OR 20x - 13 greater than or equal to 27
answers:
-x< -2 or x greater than or equal to 2
-x = -2
-x greater than or equal to 2
-There are no solutions
-All values of x are solutions
Answers
C, x is greater than or equal to 2
Step-by-step explanation:
Both equations have X equaling to 2
2/5+6/10
What is the answer
Answers
We have to make sure the denominators are equal.
10 goes into 5 evenly, so we only need to multiply one term to get a common denominator.
Multiply 2 by 2, and get 4, then we multiply 5 by 2 and get 10
Now the equation is 4/10 + 6/10
Since our denominators match, we can add the numerators.
4 + 6 = 10
That gives us the sum, which is 10/10 aka 1 whole
your welcome :) (btw can u please give brainly?)
Answer:
2/5 + 6/10 = 1
Step-by-step explanation:
first let’s change 2/5 so it has the same denominator as 6/10.
2/5 * 2/2 = 4/10
now add
4/10 + 6/10 = 1
(-4c2+7cd+8d)+(-3d+8c2+4cd)=
Answers
Answer:
4c² + 11cd + 5d
Step-by-step explanation:
To add monomials, you have to look at the variables that are accompanied by their coefficients. In the given problem, (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd), you can combine both cd ut nt cd and c² and cd and d and d and c² because they have different variables.
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)
(-4c² + 8c²) + (7cd + 4cd) + (8d - 3d)
4c² + 11cd + 5d
Answer:
4,11,5
Step-by-step explanation:
which is an equation of the line parallel to 4y-7x=8 and passes through (-4,0)
Answers
Answer:
The correct option is; A. [tex]y = \dfrac{7}{4} x + 7[/tex]
Step-by-step explanation:
The given equation is 4·y - 7·x = 8
The coordinates of the point the line passes = (-4, 0)
By dividing the given equation by 4, we have;
4·y/4 - 7/4·x = 8/4
Which gives;
y - 7/4·x = 2
y = 7/4·x + 2
Which is the equation of a straight line in slope and intercept form, y = m·x + c, with the slope, m = 7/4, and the y-intercept = 2
Given that the required line is parallel to the graph of the equation, 4·y - 7·x = 8, the slopes of both equations are equal we have;
Slope of required line = 7/4, point on the line = (-4, 0), which gives the following point and slope form equation of a straight line;
y - 0 = 7/4 × (x - (-4))
y = 7/4·x + 7/4 × 4 = 7/4·x + 7
The equation of the line is therefore;
y = 7/4·x + 7
You were given a Starbucks gift card for your birthday. One day, you used the gift card to order 3 drinks that cost $5.20 each. When you looked at your receipt, you noticed that there was a remaining balance of $26.00 on the gift card.
Write an equation in point-slope form that represents the total balance left on the gift card, y, in terms of the number of drinks ordered, x.
Answers
Answer:
The card had 41.60 originally
Step-by-step explanation:
3 x 5.20 = 15.60
15.60 + 26.00 = 41.60
unless there is tax
Quinton bought n number of shares for d dollars and paid a 1% commission. He sold the stock for y dollars and paid a flat fee of
$7. Which expression below models Quinton's net proceeds algebraically?
oyn(1.01d - 7).
(1.01nd + 7) - Y
y - 1.01(nd - 7)
y (1.01nd + 7)
Answers
Answer:
y - (1.01nd + 7)
Step-by-step explanation:
Quinton bought n number of shares for d dollars and paid a 1% commission. It means he bought [tex]\dfrac{1}{100}nd=0.01nd[/tex]
He sold the stock for y dollars and paid a flat fee of $7. It means he sold y-7.
We need to find Quinton's net proceeds algebraically. It will be given as :
[tex]y-7-0.01nd\\\\=y-(0.01nd+7)[/tex]
Hence, the correct option is (d) i.e. y - (1.01nd + 7)
Which function is increasing and has a constant slope?
O A.
B.
y = 10(0.2)
4x + 3y = 14
6.1 5y 10
C.
OD.
y
www
2+ + 1
Answers
Y=10(0.2)
4x+3y=14
6.1 5y 10
5≤3y+8<17 solve and graph
Answers
-
A pentagon has angle measures of 100, 105, 110, and 115. Find the fifth angle measure.
Answers
Answer:
110
Step-by-step explanation: