Answer:
Step-by-step explanation:
Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.
From the hypothesis, we have:
m∠QRS =(10x−12)∘(10x−12)
m∠PQR = (3x+20)∘(3x+20)
m∠RPQ=(3x−8)∘(3x−8)
Using the first equation and replacing the hypothesis:
m∠QRS = m∠PQR + m∠RPQ
(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)
Multiplying and applying the remarkable identity:
Then, we use a calculator to find the roots, which are:
In this case, we will see what root is the right one.
Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.
m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
if you are doing deltamath
An angle measures 7.4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
41.3° and 48.7°
Step-by-step explanation:
Complementary angles are angles with the sum of 90°
if one of the angle is 7.4° less than other
(90 - 7.4) ÷ 2 = 41.3° is the measure of smaller angle and
41.3 + 7.4 = 48.7° is the measure of bigger angle
Angela transfers 15% of each paycheck she received into her savings account. If she transferred $54 into her savings account last week, how much did she earn on that paycheck? Show your work using a model, proportion or equation.
Answer:
She earned $360 on that paycheck.
Step-by-step explanation:
From the information given, you know that Angela transfers 15% of each paycheck and that she transferred $54 last week. With this, you can say that the amount she earned multiply for 15% is equal to 54, which you can express with the following equation:
0.15x=54, where x is the amount she earned on that paycheck.
Now, you can solve for x:
x=54/0.15
x=360
According to this, the answer is that she earned $360 on that paycheck.
Let x denote the average number of hours per week that a student at Happy High School spends doing homework. Suppose the frequency distribution of x is normal (i.E., symmetrical and bell-shaped) with a mean of 3.4 hrs. And a standard deviation of 2.6 hrs. What percentage of the students at Happy High spend an average of less than 6 hours per week doing homework?
Answer:
0.84134
Step-by-step explanation:
Given that:
Mean = 3.4 hours
Standard deviation (s) = 2.6 hours
Percentage of students that spend less than 6 hours doing homework
P(x < 6)
Using the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (6 - 3.4) / 2.6
Z = 2.6 / 2.6
Z = 1
p(Z < 1) = 0.84134 ( Z probability calculator)
The percentage of the students at Happy High spends an average of less than 6 hours per week doing homework is 0.84134
How do you solve (X-2)^1/4=5
Answer:
x=22
Step-by-step explanation:
(x-2)^1 =5 Anything to the 1st power is 1 Multiply both sides by 4
x-2=20 Move the constant (20) to the right and change its
x=20+2 sign
x=22
State all integer values of x in the interval [1, 8] that satisfy the following inequality:
4x- 5> 4
Step-by-step explanation:
4x - 5 > 4
4x > 9
x > 2.25
Hence the integer values of x that satisfy are 3, 4, 5, 6, 7 and 8.
Joshua had two-sevenths of all the goals scored by is soccer team. His team scored 28 goals this past season. How many goals did the rest of the team score? 1 point
Answer:
Rest of the team= 20 goals
Step-by-step explanation:
Giving the following information:
Joshua= (2/7)
His team scored 28 goals this past season.
First, we determine hoy many goals Joshua score:
Joshua= (2/7)*28
Joshua= 8 goals
Now, the rest of the team:
Rest of the team= 28 - 8
Rest of the team= 20 goals
4. As shown in Figure 5.111 to the right if the
two small semicircles, each of radius 1 unit
with centres O' and O'' are contained in the
bigger semi-circle with center O, So that
O', O and O" are on the same line, then
what is the area of the shaded part?
Answer:
Area of the shaded part is 3.14 square unit.
Step-by-step explanation:
Area of the shaded part = Area of large semicircle - (Area of two small semi circles)
Area of large semicircle with center O = [tex]\frac{1}{2}(\pi r^2)[/tex]
= [tex]\frac{1}{2}\pi (2)^{2}[/tex]
= 2π
Area of semicircle with center O' = [tex]\frac{1}{2}\pi (1)^2[/tex]
= [tex]\frac{\pi }{2}[/tex]
Area of semicircle with center O" = [tex]\frac{\pi }{2}[/tex]
Now substitute these values in the formula,
Area of shaded part = [tex]2\pi - (\frac{\pi }{2}+\frac{\pi }{2})[/tex]
= [tex]\pi[/tex]
= 3.14 square unit
Area of the shaded part is 3.14 square unit.
Which triangle congruence is this a picture of?
SSS
SAS
AAS
HL
Answer:
sas
Step-by-step explanation:
Answer:
SAS
Step-by-step explanation:
SAS
Three friends share the total cost of a game. Joe pays 30%, Mike pays , and Tony pays the rest.
Which of the following is true?
Tony paid the most.
Mike paid the most.
They all paid the same.
Joe paid the most.
Answer:
tony paid most (im pretty sure tony but if not tony its mike who paid most)
Step-by-step explanation:
Answer: B. Mike paid the most.
Hope this helps!
6. Compare the line passing through the points (-2, -9) and (4, 6) with the line given by the equation
y=2/5x-4.
А They have the same slope.
B They have the same x-intercept.
с The two lines are
perpendicular.
D They have the same y-intercept.
Sam typed 420 words in 10 minutes. If he continues to type at this rate, how many words will he have typed in 3 hours? Group of answer choices
Answer:
7,560 words were typed in 3 hours.
Q2) Tyler deposited $300 into his bank account. He then wrote a check for
$150. How much money is in his account now?
Answer:
150
Step-by-step explanation:
300-150
The blue shape is a dilation of the black shape. What is the scale factor of the dilation?
Answer:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs.
Step-by-step explanation:
Is (T60.-6> 0 Ry_)(AABC)graphed correctly?
5
4
2
1
O A. yes
O B. no
Jose bought 1.5 pound of apples for $3.60. how much would 3/4 of a pound apples cost?
Enter your answer in the box
Can anyone help me with this question??
Answer:
The asnwer is 83.6 :)
Step-by-step explanation:
7.6x11=83.6
Answer:
i think its B .-.
Step-by-step explanation:
the other numbers are less than the ones up above
4x+4y=4
3x+4y=10
Solve for elimination
Answer:
The solution is x=-6 and y=7
Step-by-step explanation:
Given equations are:
[tex]4x+4y =4\\3x+4y = 10[/tex]
In elimination method, the co-efficient of one of the variables are equated so that one variable can be eliminated by adding or subtracting the equations
In the given system of equations, the co-efficient of y is already same i.e. 4 so we only have to subtract the equations
Subtracting equation 2 from equation 1
[tex]4x+4y-(3x+4y) = 4-10\\4x+4y-3x-4y = -6\\4x-3x = -6\\x = -6[/tex]
Putting x = -6 in equation 1
[tex]4(-6)+4y = 4\\-24+4y = 4\\4y = 4+24\\4y = 28\\\frac{4y}{4} = \frac{28}{4}\\y = 7[/tex]
Hence
The solution is x=-6 and y=7
Find the measure of each acute angle.
(3x + 2)∘ = and x∘ =
Answer:
The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.
Then one angle is marked as a right angle meaning it has a measure of 90 degrees.
Using this information and the labels on the diagram we can set up an equation:
x+3x+2+90=180
Now we can solve for x.
4x+92=180
4x=88
x=22 degrees
The measure of one of the acute angles is 22 degrees.
Now to solve for the measure of the other acute angle.
Subsitute the value of x first.
x=22
(3x+2)=?
3*22+2=68 degrees
The measure of the other acute angle is 68 degrees.
In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)
Thus:
[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)
Solve for the value of x[tex]x + 3x + 2 + 90 = 180[/tex]
Add like terms[tex]4x + 92 = 180\\\\[/tex]
Subtract 92 from each side[tex]4x = 180 - 92\\\\4x =88[/tex]
Divide both sides by 4x = 22
Measure of one of the acute angles is 22 degrees.
To find the second acute angle measure, substitute the value of x
3x + 2 = 3(22) + 2 = 68 degrees
Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
Learn more here:
https://brainly.com/question/347922
What is the slope of the line on the graph
Answer:
Step-by-step explanation:
-2/6=-1/3
-1/3 is the slope.
formula is rise/run
Last one for tonight. This really confused me. Please help.
Answer:
In the top green thing goes X in the bottom one it goes Y
X: 1,2,3,4,5
Y: 20, 28, 36, 46, 52
Step-by-step explanation:
a-17.9=32.4
i don't know the answer please help
Step-by-step explanation:
a-17.9=32.4
a=32.4+16.9
a=50.3
Alexis bought 2 bags of apples for the fruit salad for her party. Each bag contained 13 apples. If she cuts each apple into 8 pieces, how many apple pieces would she have?
Answer:
13*8=104
104*2=
208
Step-by-step explanation:
$50.25 with buy one get one 50% off (SHOW WORK)
Answer:
i dont know if this is to answer buying 2
$75.74 for 2
Step-by-step explanation:
50.25*1.5=75.735
Answer:
25%
Step-by-step explanation:
because whats 50%-50%=0% so there's 25% left.
please help ASAP due tomorrow!!!
Answer:
1. b =1/2 (4)(3.5)
v=(14)(8)
2.b= 1/2 (9)(12)
V=(54)(13)
3.b= 1/2(7)(6.1)
v= (21.35)(9)
Help I give 20 points answer ASAP
Answer:
-1
Step-by-step explanation:
What are the coordinates of the equation 16x + 8y = 24
Answer: (0,3) (1.5,0)
Step-by-step explanation:
The coordinates of the equation 16x + 8y = 24 are (0,3) and (1.5,0).
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −9
0 −1
1 7
g(x)
g(x) = 3x − 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
HELP ME PLSSSSS I WILL GIVE YOU 100 POINTS!!!!!!!
Step-by-step explanation:
First we find the slope of f(x):
When x increases by 1, f(x) increases by 8. Slope of f(x) = 8/1 = 8.
Slope of g(x) = Coefficient of x = 3.
Therefore the slope of f(x) is greater than the slope of g(x).
When x = 0, f(x) = -1 (given ii the table) Therefore the y-intercept of f(x) is -1.
Y-intercept of g(x) = Constant term = -2.
Since -1 > -2, f(x) have a greater y-intercept.
plsss need help!!! will give brainliest !!!
the x values in the table for f(x) were multiplied by -1 to create the table for g(x).what is the relationship between the graphs of the two functions.
Answer:
The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B
Step-by-step explanation:
If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x), which means the signs of the y-coordinates of the points on f(x) are opposite in g(x)If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x), which means the signs of the x-coordinates of the points on f(x) are opposite in g(x)∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)
∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)
∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)
→ By using the 2nd rule above
∴ g(x) is the image of f(x) after reflection across the y-axis
∴ The relationship between the graphs of the two functions is
"They are reflections of each other across the y-axis"
Jordan is painting his kitchen. To get the color he wants, he mixes 2 parts red paint and 6 parts yellow paint. 1) Write the ratio of parts red paint to parts yellow paint as a fraction. 2) Then, write the unit rate of red paint to yellow paint.
Answer:
1. 1/3 or 1 red paint : 3 yellow paint
2. 3/1 or 3 or 3 yellow paint : 1 red paint
Step-by-step explanation:
First figure out red to yellow
2 parts red : 6 parts yellow
simplified it is 1 part red : 3 parts yellow or 1/3
Repeat for ratio of yellow to red
6 parts yellow : 2 parts red
simplified is 3 yellow : 1 red or 3/1 or 3
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A 3 ounce box of pudding mix cost $0.52, and a 6 ounce box of pudding cost $0.90. What is the difference in cost per ounce between the larger and the smaller boxes?
Answer:
.17 per once for the smaller box and .15 for the bigger box
Step-by-step explanation: