Answer:
3.2
Step-by-step explanation:
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
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
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).
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:
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.
I NEED HELP WITH THIS ( IM IN LIVE ADN I NEED IT DONE TODAY)
all you need to do is explain it.
Is (T60.-6> 0 Ry_)(AABC)graphed correctly?
5
4
2
1
O A. yes
O B. no
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
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.
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.
Math item stem image
does this figure have symmetry
Answer: yes
Step-by-step explanation:
1+1
Brainliest is in the deal first one to answer
Step-by-step explanation:
2 !!!
hope it helps
have a great day:))
Answer:
2 :D
Step-by-step explanation:
......thank you....
At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour. Which equation models the relationship between total cost, y, and the number of hours, x, that the bike is rented?
Answer:
y = 15 + 7.50x
Step-by-step explanation:
It is given that, At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour.
Let the number of hours is x and the total cost is y.
When the bike is rented for x hours, its cost will be 7.50x.
Total cost (y) in terms of number of hours is given by :
y = 15 + 7.50x
Hence, this is the required equation.
Joy added 26 new contacts to her phone list. She now has a total of 100 contacts. Let c represent how many contacts joy had on her phone before she updated it
Answer:
c=74
Step-by-step explanation:
Let c represent how many contacts Joy had on her phone before she updated it.
Because Joy added 26 new contacts, we can say that c+26 is equal to her new total of 100 contacts.
c+26=100
Therefore, the equation that represents this situation is c+26=100
Now, we can use our equation to solve for c.
c+26=100
Subtract both sides by 26 to isolate c
c+26-26=100-26
c=74
Therefore, Joy had 74 contacts on her phone before she updated it.
I hope this helps!
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)
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!
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:
Please help me answer this for a test im having trouble
Answer:
x + 1
y = 9
Step-by-step explanation:
In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....
y = 7x + 2
(plug in the y value and get the following ….)
-x + 10 = 7x + 2
(now just solve the following equation)
-x + 10 + x = 7x + 2 + x
10 = 8x + 2
10 - 2 = 8x + 2 - 2
8 = 8x
8/8 = 8x/8
1 = x
Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....
y = 7x + 2
y = 7(1) + 2
y = 7 + 2
y = 9
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
it’s late! Help asap!
Answer:
Both are correct
Step-by-step explanation:
All the angles are equal, therefore causing the triangles to be similar.
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
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.
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
Please give thanks, hit the heart button :)
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:
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
Help I give 20 points answer ASAP
Answer:
-1
Step-by-step explanation:
what is the distance between points C and D
C(2,1)
D(4,1)
Step-by-step explanation:
let c=x1, y1 and d=x2,y2
Then distance=√(4-2)²+(1-1)²
= √4+0
=2
ans is 2 units
Please give working step and the answer
Answer:
Probability = [tex]\frac{22}{31}[/tex]
Step-by-step explanation:
Number of students working part time, living in dorm = 22
Total number of students working part (either living in dorm or not in dorm)
= 22 + 9
= 31
Probability of the students working part time and living in dorm,
P = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex] = [tex]\frac{\text{Students working part time either living in dorm}}{\text{Total number of students working part time either living in dorm or not}}[/tex]
P = [tex]\frac{22}{31}[/tex]
Therefore, probability of the students chosen that he/she is working part time given that he/she lives in dorm is [tex]\frac{22}{31}[/tex].
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
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"