Answers
For the top part, both equations are vertical angles, so both equations will equal the same angle.
(4 + 23x) = (24x)
4 + 23x = 24x
4 = 24x - 23x
4 = x
Plug in x = 4 into both equations.
4 + 23(4) = 24(4)
4 + 92 = 96
96 = 96
Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.
Answer: 96 degrees is the angle--------------------------------------------------------------------------------------------------------------
For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.
(x + 120) + (x + 80) = 180
x + 120 + x + 80 = 180
2x + 200 = 180
2x = 180 - 200
2x = -20 (don't worry about having a negative solution)
x = -10
Plug in x = -10 into both equations.
(-10) + 120 + (-10) + 80 = 180
110 + 70 = 180
180 = 180
Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.
Answer: Since the question asked to find a measure of the angle indicated in bold, the angle measure is 70 degrees.Related Questions
Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the garden at points (Negative 1, 2) and (Negative 1, Negative 2).
Answers
Answer:
The other two vertices are (4 , -2) and (4 , 2)
Answer:
The answer is (B)
Step-by-step explanation:
Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the garden at points (Negative 1, 2) and (Negative 1, Negative 2).
On a coordinate plane, points (negative 1, 2) and (negative 1, negative 2) are plotted.
At which points should Max have the other two vertices in order to make the area of his garden 20 square feet?
(2, Negative 2) and (2, 2)
✅(4, Negative 2) and (4, 2)
(3, Negative 2) and (3, 2)
(5, Negative 2) and (5, 2)
Write 3-5 sentences about the process of the Sums and differences of cubes Factoring Method
Answers
Answer:
nah nah mane 12
Step-by-step explanation:
Answer:
Step one: Decide if the two terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer. In this case, the two terms only have a 1 in common which is of no help.
Step 2: Rewrite the original problem as a difference of two perfect cubes.
Step 3a: “Write What You See” If you disregard the parenthesis and the cubes in step 2, you should see:
Step 3b: “Square-Multiply-Square” If you square the first term, x, you get x2. If you multiply the two terms, x and 4, you get 4x. Finally, if you square the second term, 4, you get 16.
Step 3c: “Same, Different. End on a Positive” This will determine the signs of the problem. The first sign should be the same as the original question, the next sign should be different then the first, and the last sign should always be positive.
Step 4: Write the final answer.
Step-by-step explanation:
ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically
Answers
Answer:
there was 12 pencil's in each package because 12 ×4=48 48 -8=40
A television costs $258.98. The sales tax rate is 8.5% . How much will. It cost to buy the television
Answers
Answer:
The cost is $280.99
Step-by-step explanation: First do 258.98 divided by 100 which will then equal 2.5898 times 8.5 equal 22.0133 which will then be rounded to 22.01 and then you add 258.98 + 22.01 and that will equal 280.99
More trig ratios see attachment
Answers
Answer:
TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15
Step-by-step explanation:
Tan = opposite/adjacent, so 9/12
WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15
Tan again, is opposite/adjacent, so 12/9
Cos is adjacent/hypotenuse, so 12/15
Hopefully this helps! Let me know if you have any questions
Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, what is the actual width of the statue, in feet? Your answer can be exact or rounded to two decimal places,
Answers
Answer:
2 ft
Step-by-step explanation:
[tex] \dfrac{7}{4} = \dfrac{3.5}{x} [/tex]
[tex] 7x = 4 \times 3.5 [/tex]
[tex] x = 2 [/tex]
Answer: 2 ft
pls help will mark brainliest if correct
Answers
Answer:
its D Please put me as brain eat if correct
5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12
Answers
Answer:
10c + 12
Step-by-step explanation:
I believe that is the answer please let me know if I am wrong
9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *
Answers
If initial side is (x1,y1)
Then x1 = -1, and y 1 = 16
If the terminal side is x2, y2
Then x2 =1 and y2 =9
This component from p is x2-x1 y2-y1
In this case <[1-(-1)], (9-16)
Which give us
2,-7
If p = x ,y using Pythagorean’s theorem
2(2) + (-7)(7)
4+49
53
Square root of 53 is
7.28010988928
7.3
5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.
Answers
Answer:
a or c Im not sure
Step-by-step explanation:
I think b though
The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given,
Loren is running at speed of 10 feet per second.
Speed = distance covered/time taken
10 = distance covered/time taken
In line B, the ratio of distance covered/time taken is 10.
Thus, line B will be correct.
Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".
To learn more about graphs,
brainly.com/question/16608196
#SPJ5
PLZ HELP ME LOL
A large cheese pizza cost 7.50. Diego has 40$ to spend on pizzas. How many large cheese pizza can he afford . Explais or show your rwasoning
Answers
So Diego can buy 5 pizzas with a little money left over.
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Answers
Answer:
this is your answer look it once
What is the measure of E in degrees?
Answers
Answer:
c
Step-by-step explanation:
E=10×10+25
but solve it to make sure
the answer is 130° a p e x
Point T bisects UV. Find UV if UT = 2 inches
Answers
Help me please with math
Answers
Answer:
d. 2x³y + 12x²y² + 18xy³
Step-by-step explanation:
Volume = l x b x h
= 2xy × x + 3y × x + 3y
= 2xy × (x + 3y)²
= 2xy × (x² + 6xy + 9y²)
= 2x³y + 12x²y² + 18xy³
HELPP PLEASEEE
John's toy car is built on a scale of one
inch represents 12 inches on the actual
car. If john's toy car is 5 inches long,
how long is the actual car?
Answers
1 • x = 12 • 5
x = 60
John’s car is 60 inches long.
if there 3 cats and 3 dogs how mush would be together
Answers
Answer:
6
Step-by-step explanation:
3+3 = 6
Answer:
There is 1 cat for each dog so the ratio would be 1:1 together.
Step-by-step explanation:
This means there are twice as many cats as dogs, or half as ... The ratio of 6:3 reduces to the ratio of 1:1
A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner
Answers
Answer:
5.52 inch
Step-by-step explanation:
Recall :
Area of Sector : θ/ 360 * πr²
Sectors that do not allow movement : (8-3-2) = 3
Total sectors = 8
θ/ 360 = 3/8 ; Area = 35.9
Radius = r
35.9 = 3/8 * π * r²
35.9 / (3/8 * π) = r²
30.472866 = r²
r = √30.472866
r = 5.52 inch
The radius of the spinner is 5.520 inch whose [tex]\frac{3}{8}[/tex] sector area is 35.9 inches square.
It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.
It is required to find the radius of the spinner.
What is the area of the sector?The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.
We know the formula of sector area (A):
[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex] Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree
The remaining sectors = ( Total sectors - Three sectors - Two sectors)
= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token
Total sector = 8
[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]
Putting these values in the above formula, we get:
[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159
[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]
Thus, the radius of the spinner is 5.520 inch.
Learn more about the area of sectors here:
https://brainly.com/question/15849991
A plastic box has the dimensions shown. 2 square pyramids are stacked on their bases. The bases are 8 centimeters by 8 centimeters and the height of each pyramid is 7.5 centimeters. What is the volume of the box? 160 cm3 320 cm3 480 cm3 960 cm3
Answers
Answer:
the answer is 320
Step-by-step explanation:
just did the instruction
Answer:
320
Step-by-step explanation:
To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
Wow look at my full percent battery
PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!
Answers
Step-by-step explanation:
The height of the swipe card is given by :
[tex]h(t)=-3t^2+15t+18[/tex] .....(1)
We need to find the maximum height of the swipe card and the time to reach the maximum height.
For maximum height, put dh/dt = 0
So,
[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]
It will take 1.67 seconds to reach the maximum height.
Now, put t = 1.67 s in equation (1).
[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]
Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.
Any help on this pleasee anyone??
Answers
Solve the system by substitution.
y = 7x – 20
y = 2x
Answers
Answer:
x=4 y=8
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
A parallelogram has vertex at (-5 , -1) (-2, -1), (-3,-4), and (-6,-4). What is the approximate perimeter of the parallelogram round your answer to the nearest hundredth
Answers
Answer:
12.4 units
Step-by-step explanation:
We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance
= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)
For side A
(-5 , -1) (-2, -1)
= √(-2 -(-5))² + (-1 - (-1))²
= √(-2 + 5)² + (-1 + 1)²
= √3² + 0
= √9
= 3 units
For side B
(-2, -1), (-3,-4)
= √(-3 -(-2))² + (-4 -(-1))²
= √(-3 + 2)²+ (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
For side C
(-3,-4), (-6,-4).
= √(-6 -(-3))² + (-4 - (-4))²
= √(-6 + 3)² + (-4 + 4)²
= √-3² + 0²
= √9
= 3 units
For side D
(-5 , -1), (-6,-4)
= √(-6 - (-5))² + (-4 - (-1))²
= √(-6 + 5)² + (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
From the above calculation , we can see that,
side A = side C
side B = side D
The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)
= 2(3 + 3.2) units
= 2(6.2) units
= 12.4 units
What is the positive solution to this equation?
4x2 + 12 x= 135
Answers
Joel has a goal to practice his clarinet for 4 ½ hours per week. The list below shows the number of hours Joel has practiced so far this week.
Answers
Answer:
3/4 hours
Step-by-step explanation:
Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour. How many more hours does he need to practice this week to meet his goal?
Total practice hours per week = 4 1/2 hours = 9/2 hours
Hours of practice so far for the week:
Monday = 1 1/2 hours = 3/2 hours
Wednesday = 1 1/4 hours = 5/4 hours
Thursday = 1 hour
Total = Monday + Wednesday + Thursday
= 3/2 + 5/4 + 1
= (6+5+4)/4
= 15/4 hours
How many more hours does he need to practice this week to meet his goal
Hours needed to meet goal = Total practice hours per week - Hours of practice so far for the week
= 9/2 - 15/4
= (18-15)/4
= 3/4 hours
Hours needed to meet goal = 3/4 hours
Show all your work! Thank you!
Answers
Answer:
a
Step-by-step explanation:
1+1=2 2+2=4 meaning its 9$ for the cheesecake and 10 for the apple pie
Find the ending
balance:
$3,000 for 30 years
3.5% annual simple
interest
Answers
rttrtbtrertbr4gbigbnerunburhurh
3/4+(1/3divided by 1/6)-(-1/2)=
HURRY pls i need a answer ASAP
Answers
Answer:
Step-by-step explanation:
Answer:
3.25
Step-by-step explanation:
please help as soon as possible and please don’t take advantage of the points
a:1 hour
b:1.5 hours
c:2 hours
d: 3.5 hours
e:5.5 hours
Answers
Answer:
2 hours
Step-by-step explanation:
Find the perimeter of this semi-circle with diameter 62cm.
Give your answer as an expression in terms of Pi
Please include the formula
Answers
Step-by-step explanation:
hope it helps
have a great day!!