Answer:
1. 48 + 86 + + Q = 180
2. 46 degrees
3. They are congruent
Step-by-step explanation:
I just got them right on edg
Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.
Using angle sum property, ∠Y = 46°.
It can be concluded that ∠Y = ∠Q.
What is angle sum property?The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.
In ΔPQR,
∠P + ∠Q + ∠R = 180° (angle sum property)
86 + ∠Q + 48 = 180
∠Q = 180 - 86 - 48 = 46°
In ΔXYZ,
∠X + ∠Y + ∠Z = 180° (angle sum property)
86 + ∠Y + 48 = 180
∠Y = 180 - 86 - 48 = 46°
As visible, ∠Q = ∠Y.
Learn more about angle sum property here
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Which expression is equivalent to the following complex fraction?
(SEE PICTURE / TROLL ANSWERS WILL BE REPORTED / e d g e n u i t y 2020)
[tex]-\frac{2}{x} + \frac{5}{y}[/tex] / [tex]\frac{3}{y} -\frac{2}{x}[/tex]
(I THINK IT MIGHT BE THE 1st or 2nd option
Answer:
A. -2y+5x/3x-2yStep-by-step explanation:
Given the complex fraction;
[tex]-\frac{2}{x} +\frac{5}{y} / \frac{3}{y} - \frac{2}{x} \\[/tex]
First we will find the LCM of the numerator and the denominator as shown below;
[tex]\frac{-2y+5x}{xy} /\frac{3x-2y}{xy}[/tex]
Then we divide both equation by multiplying the numerator by the reciprocal of the denominator as shown;
[tex]= \frac{-2y+5x}{xy} * \frac{xy}{3x-2y} \\= \frac{-2y+5x}{3x-2y} \\[/tex]
This gives the required answer
Billy graphed the system of linear equations to find an approximate solution.
y=-7/4x + 5/2
y=3/4x-3
Answer:
(2.2, -1.35)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
The solution set to the systems of equations is where the 2 lines intersect.
if there are 60 songs on a mp3 and 21 are rock. what is the ration of rock songs not being played at all
Answer:
rock: not rock
7:13
Step-by-step explanation:
First determine how many songs are not rock
60-21 = 39
There are 39 songs that are not rock
ratio of rock to not rock
rock: not rock
21:39
We can divide by 3
21/3:39/3
7 : 13
What is the missing exponent in the equation 2? = 16?
Answer:
4
Step-by-step explanation:
2x2x2x2 = 16
Answer:
2^4 =16
Step-by-step explanation:
Rewriting 16
2^n = 2*2*2*2
2^n = 2^4
2^4 = 16
How much leather is needed to cover a basketball with a diameter of 14 inches?
Answer:
43.96 inches
Step-by-step explanation:
The formula for finding circumference is: 3.14*d(diameter). So if you plug in the 14 in the equation, you get 3.14*14 which is what I did to get the answer.
Hope this helped, mark brainliest and thanks! Have an awesome day! ;D
What is the circumference of a circle with a diameter of 85 feet? using 3.14for pi
Answer:
266.9
Step-by-step explanation:
In order to find the circumference of a circle, you have to multiply the diameter by pi.
Circumference= 85 × 3.14
When multiplied this will get you 266.9
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
C. How many cubic yards of concrete are needed to make the planter?
Answer:
Step-by-step explanation:
A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore
Opposite side = 2/2 = 1 yrd
Slant height, L = hypotenuse
Adjacent side = 2 yrd
Hypotenuse² = opposite side² + adjacent side²
L² = 1² + 2² = 5
L = √5 = 2.24 yrds
Slant height = 2.24 yrds
B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24
Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²
Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²
surface area of composite figure = 20 + 8.96 = 28.96 yrds²
C) volume = 1/3 × base area × height
Volume = 1/3 × 2² × 2 = 2.67 yrds³
An adult ticket at an amusement park costs $29.95 and a child’s ticket costs $21.95. A group of 15 people paid $353.25 to enter the park. How many were children?
Write the equations:
a +c = 15
a = 15-c
29.95a + 21.95c = 353.25
Replace a in the last equation:
29.95(15-c) + 21.95c = 353.25
Simplify:
449.25 - 29.95c + 21.95c = 353.25
449.25 - 8.00c = 353.25
Subtract 449.25 from both sides:
-8.00c = -96.00
Divide both sides by -8.00:
c = -96 / -8
c = 12
There were 12 children.
the perimeter of a triangle is 12b+5. Two sides have the following length:4b and 3b+15. What is the length of the third side?
Answer:The length of the third side 2.5.
Step-by-step explanation:
We already know the length of two side but we don’t know the length of one side so we will represent it by b and we know they three lengths add up to 12b+5.
4b + 3b+15 +b =12b + 5
Solve for b.
8b +15=12b +5
-8b -8b
15+4b +5
-5 -5
4b/4=10/4
B=2.5
So the length of the third side is 2.5
4(2.5) + 3(2.5)+15+2.5=12(2.5)+5
35=35
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters
The image of the front of the tower is missing, so i have attached it.
Answer:
Option B - 10,000 square millimeters
Step-by-step explanation:
From the image attached, we see that the dimensions of the front of the tower are;
Length; L = 200 mm
Width; w = 50 mm
Now, this front face takes the shape of a rectangle.
Area of rectangle = Length x width
Thus, plugging in the values of length and width, we will get;
Area of front face = 200 x 50
Area of front face = 10,000 square millimeters
Answer:
12,500 mm^2
Step-by-step explanation:
50 x 200 = 10,000 mm
(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm
10,000 + 2,500 = 12,500 mm^2
What is the image point of (3,-8) after a translation left 2 units and up 5 units?
Use only the digits 0 - 9 and the decimal and the negative sign, if needed, to fill in the blank. If f(x) = 3x – 8, then f(-4.7) = _____.
Answer:
-22.1
Step-by-step explanation:
f(x) = 3x – 8,
Let x = -4.7
f(-4.7) =3(-4.7) -8
=-14.1-8
-22.1
Gabriel invested $900 in an account paying an interest rate of 3 1/4 % compounded daily. Daniel invested $900 in an account paying an interest rate of 3 3/8 % compounded continuously. After 19 years, how much more money would Daniel have in his account than Gabriel, to the nearest dollar?
Answer:
$40
Step-by-step explanation:
The earnings of Gabriel can be calculated with the formula:
P = Po * (1 + r/n)^(nt)
Where P = 900, r = 0.0325, n = 365 and t = 19
So we have:
P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81
The earnings of Daniel can be calculated with the formula:
P = Po * e^(rt)
Where Po = 900, r = 0.03375 and t = 19
So we have:
P = 900 * e^(0.03375*19) = $1,708.97
So the amount that Daniel will have more than Gabriel is:
1708.97 - 1668.81 = $40.16
Rounding to nearest dollar, the difference is $40
How do you do this and what’s the solution?
Answer:
Step-by-step explanation
diameter makes a right angle at the circumference of the circle.
f=90°
which of the following is equivalent to 5 cube root 13^3
Answer:
d. 13 raise power 3/5
Step-by-step explanation:
21 radical sign p^-4/p^3
Answer: [tex]p^-^\frac{1}{3}[/tex]
[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]
[tex]\sqrt[21]{p^-^4^-^3}[/tex]
[tex]\sqrt[21]{p^-^7}[/tex]
[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]
[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]
[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]
2. Which situation leads to a unit cost of $4 per football ticket? (Hint: Find Unit Rate of Each)
A. $6 paid for 2 football tickets
B. $8 paid for 4 football tickets
C. 6 football tickets for $24
D. 10 football tickets for $50
Answer:
C
Step-by-step explanation:
A. 6/2=3
B. 8/4=2
C. 24/6= 4
D. 50/10=5
A school librarian is purchasing books for the next school year. She surveyed 25 students and 6 said that they prefer science fiction books. If there are 125 total students, how many science fiction books should be purchased.
Answer:
30 science fiction books
Step-by-step explanation:
Pleaaase help me out here im being timed!! Will mark brainliest
Really appreciate it if u did thank u.
I dont get how to do thiss!
Answer:
62.4
Step-by-step explanation:
Volume=L*w*h/3
V=5.2*4*9=187.2
187.2/3-62.4
Answer:
The volume of pyramid is
V = Base area x Height x 1/3
= (5.2 x 4) x 9 x 1/3 = 62.4 (cm3)
Hope this helps!
:)
Today, Sean left home at 8 a.m., drove to work, and worked from 9 a.m. until 5 p.m. On the drive back
home. Sean got stuck in slow-moving traffic for 2 hours, then stopped to have dinner, and finally got home
at 9:30 pm
The graph below shows Sean's distance, d from his home (in kilometers) as a function of the time, t (in
hours!
Complete the sentences below based on the graph of the function.
. Sean's workplace is located km from his home.
• Sean's speed when he was driving to work was km h.
. Sean's speed between 5 p.m. and 7 p.m. was km h.
Complete question
High School Mathematics 5+3 pts
Today, Sean left home at 8 a.m., drove to work, and worked from 9 a.m. until 5 p.m. On the drive back
home. Sean got stuck in slow-moving traffic for 2 hours, then stopped to have dinner, and finally got home
at 9:30 pm
The graph below shows Sean's distance, d from his home (in kilometers) as a function of the time, t (in
hours!
Complete the sentences below based on the graph of the function.
. Sean's workplace is located _____km from his home.
• Sean's speed when he was driving to work was ___ km/h.
. Sean's speed between 5 p.m. and 7 p.m. was _____km/h.
Answer:
Sean's workplace is located 20km from his home.
Sean's speed when he was driving to work was 20 km/h.
Sean's speed between 5pm and 7pm was 5 km/h.
Step-by-step explanation:
The formula for Speed = Distance in km ÷ Time in hours
a) Form the graph, we can see that Sean's workplace is located 20km from his home.
b) From the graph,
the distance from Sean's workplace from his home = 20km
We were told in the question that he drove from 8am - 9am.
This means Sean drove for 1 hour.
Since Speed = Distance in km ÷ Time in hours
Sean's speed = 20km ÷ 1 hour
= 20km/h
Therefore, Sean's speed when he was driving to work was 20 km/h.
c) From the graph, we can see that the distance Sean travelled was 10km from 5pm to 7pm
The time is from 5pm to 7pm, this means 2 hours
Speed = Distance in km ÷ Time in hours
Sean's Speed between 5pm to 7pm = 10km ÷ 2 hours
= 5km/hr
Therefore, Sean's speed between 5pm and 7pm was 5 km/h.
What happens if b = 0 in the general exponential function() = a
b
?
Answer:
It stays a zero or it turns into whatever the b or a is
Step-by-step explanation:
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
Step-by-step explanation:
Q1) r = 6 ft
Area of semicircle = πr²/2 = 6*6*3.14/2
Area of shape = 6*6*3.14/2 + area of the rectangle attached.
option 2
Q2) length of the arc = circumference of the circle /2
=2πr/2
= 2 * 3.14 * 6 /2
=12 * 3.14/2 ft
option 1
Evaluate the expression 3 x
{10 +1} +5.
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5.
PEMDAS
Parentheses first
3 x {11} +5.
Then multiply and divide
33+5
38
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5 Following PEMDAS, solve in the parentheses
3 x 11 + 5 Multiply 3 x 11
33 + 5 Add
38
You are balancing your checkbook. Your beginning balance is $595.00. You wrote two checks for $30.00 each and then you wrote another check for $775.00. How much is in your checking account now?
Answer:
- 220
Step-by-step explanation:
Add the 2 checks for 30 each.
30+30=60
Add 60 and 775.
755+60=815
That is how much you took out
Subtract.
595-815=-220
what is m equal to.
4(m − 13) − 8 = 8
Answer:
m = 17
Step-by-step explanation:
[tex]4(m - 13) - 8 = 8 \\ 4(m - 13) = 8 + 8 \\ 4(m - 13) = 16 \\ (m - 13) = \frac{16}{4} \\ m - 13 = 4 \\ m = 4 + 13 \\ \huge \red { \boxed{m = 17}}[/tex]
Which binomial is a factor of 9x2 – 64?
Answer:
Factor:
9x2 – 64
=(3x+8)(3x−8)
3x – 8
Given parallelogram ABCD, m\angle A=5x+18 and m\angle B=3x-6 find find m\ C
Answer:
57
Step-by-step explanation:
Firstly, we will need to calculate what x is.
To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.
This means A and B are supplementary while B and C are also supplementary
what we are trying to say is that they add up to be 180
Thus,
5x + 18 + 3x -6 = 180
8x +12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21
Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57
Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57
Jen has a newer car than Amelie, and it has One-third the miles of Amelie’s car. Amelie’s car has 45,000 miles. Which of the following equations model this situation? Select all that apply.
3(m) = 45,000
1/3 + m = 45,000
m = (1/3) (45,000)
m = 3(45,000)
m = 1/3 = 45,000
Answer:
Its 1rst and 3rd
Step-by-step explanation:
I took the assignment. Its correct.
Answer:
1 and 3
Step-by-step explanation:
on edge just got it right :)
evacuate 3 1.5 + 2 2.3
Answer:
53.8
Step-by-step explanation:
31.5 + 22.3
53.8
Hope it helps
Answer:
[tex]53.8[/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: \: 31.5 \\ + 22.3 \\ = 53.8[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.
Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]
So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]