Answer:
We know that in a parallelogram two opposite angles are equal -
[tex] \\ \implies \sf \: 2x + 2y = 360 {}^{ \circ} \\ \\ \\ \implies \sf \: x + y = 180 {}^{ \circ} \qquad \quad \: (i) \\ [/tex]
Given -
angle x is equal to the two - third of it's adjacent angle y.[tex] \\ \implies \sf \: x = \frac{2}{3} y \\ \\ \\ \implies \sf \frac{x}{2} = \frac{y}{3} = k \\ \\ \\ \qquad \sf \small \underline{ x = 2k \: \: \& \: \: y = 3k} \\ [/tex]
Now, by using equation (1) :
[tex] \\ \implies \sf \: 2k + 3k = 180 \\ \\ \\ \implies \sf \: 5k = 180 \\ \\ \\ \implies \sf \: k = \frac{180}{5} \\ \\ \\ \large{ \boxed{ \sf{k = {36}^{ \circ} }}} \\ [/tex]
Now, by putting the value of k in x and y.
x = 2k = 2 × 36 = 72° y = 3k = 3 × 36 = 108°Therefore, the right option and smallest angle is b) 72°.
If f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.
Answer:
The answer is 6.9Step-by-step explanation:
f(x) = 8.3x + 8.1
To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x
That's
8.3x + 8.1 = 65.37
Subtract 8.1 from both sides
That's
8.3x + 8.1 - 8.1 = 65.37 - 8.1
8.3x = 57.27
Divide both sides by 8.3
[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]
We have the final answer as
6.9 to the nearest tenthHope this helps you
What is the slope of the linear function represented in
the table?
-7
-1/7
1/7
7
Answer:
m=1/7
Step-by-step explanation:
Labeled the points and used Slope of a line formula.
Lane paints a square-shaped section of a
fence with an area of 75 square feet. What is
the approximate height of the section Lane
paints?
&
© 8.3 ft
• 8.1 ft &
8.6 ft
© 8.9 ft
Answer:
8.66 ft
Step-by-step explanation:
A square is a shape that has an equivalent length and breadth across it’s cross section.
What this means is that measuring the length across the top and bottom will yield the same length value.
Thus, mathematically, let’s call the measured height h
The square of this height gives the area
thus;
h^2 = 75
h = √75
h = 8.660254037844
This is approximately 8.7 to one decimal place
Hi I don’t have a protractor right now and I reallyyy need help answering these questions I don’t understand or I’ll get a 0. Can anyone help me please?
Answer:
hhrnfg
Step-by-step explanation:
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A cookie factory uses 4 1/4 bags of flour in each batch of cookies. The factory uses 8 1/2 bags of flour yesterday. How many batches of cookies did the factory make
Answer:
2
Step-by-step explanation:
4 1/4 bags of flour multiplied by 2 is 8 2/4 and that's equivalent to 8 1/2
Answer:
The answer is 2 Batches
Step-by-step explanation:
The answer is 2 because 4 1/4 multiplied by 2 is 8 2/4 or in a simplified version 8 1/2.
On a school playground, a math teacher draws a number line with values from 10 to 10. The distance between each
consecutive number is 1 meter. Rebecca is standing at +4, and her friend Cedric is standing at -8.
What is the straight-line distance between the two friends, in meters?
Answer:
12
Step-by-step explanation:-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
count the spaces between the two numbers
The number line is the representation of numbers in real order.
The number line can be assumed as:
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The straight-line distance between the two friends, in meters, is 11 meters.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
On a school playground, a math teacher draws a number line with values from 10 to 10.
The distance between each consecutive number is 1 meter.
We can assume the number line to be as,
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The distance between Cedric and Rebecca.
= 4 - (-7)
= 4 + 7
= 11
Thus,
The straight-line distance between the two friends, in meters, is 11 meters.
Learn more about number line here:
https://brainly.com/question/13425491
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Determine the answer to (−5) + 4 and explain the steps using a number line.
Answer:
-1
Step-by-step explanation:
when adding on a number line you always go to the right.
-5+4=-1 , so you would move 4 places to the right on the number line.
Last night, Olivia spent 125 hours on her math homework, then 45 minutes on her science homework. What is the total time she spent doing her math and science homework?
Answer: she spent 126 hours on her math and science homework together
Step-by-step explanation: because i rounded.
Did you misspell it? or did she legit spend 125 HOURS not minutes because if its minutes the answer would be 2hrs 50 min if not it would be 5 days 5hrs and 45 min
How long does it take an airplane to fly 4000 m if it maintains a speed of 200 meters per second?
Answer:
20 seconds.
Step-by-step explanation:
Divide 4000 by 200.
Which one of these numbers is in the solution set of x - 12= 3? Apex
A. -9
B. 9
C. 15
D. 4
Answer:
c.15
Step-by-step explanation:
x-12=3
-12+12
3+12
x=15
y+7=-2/3(x+6) as a linear function
I don't know. can someone help please??
If c(x)=x-2 what is the value of x if c(x)=3.5
Answer:
5.5 = x
Step-by-step explanation:
c(x)=x-2
3.5 = x-2
Add 2 to each side
3.5+2=x-2+2
5.5 = x
HELP ME PLEASE NEED HELP ASAP !!
Answer:
Step-by-step explanation:
The answer is A
they are corresponding angles
Simplify the expression 3(2x - y) + 2(4x + y).
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{14x - y}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3(2x - y) + 2(4x + y)}[/tex]
Distribute 3 through the parentheses
Similarly , distribute 2 through the parentheses
[tex] \dashrightarrow{ \sf{6x - 3y + 8x + 2y}}[/tex]
Combine like terms and simplify
[tex] \dashrightarrow{ \sf{6x + 8x - 3y + 2y}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{14x - y}}}[/tex]
Hope I helped!
Best regards! :D
what is the DOMAIN of the graph
Answer:
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, Because {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.
Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer
Answer:
omg here is the answer
Step-by-step explanation:
round -6(5-7s)=20 pls help
Answer:
Step-by-step explanation:
-6(5-7s) = 20
-30 + 35s = 20
Add 30 both sides
35s = 50
Divide by 35 both sides
S=1.4
pls help fast......
Standard form is just putting the exponents in descending order.
Standard form: 13x^8 + 4x^5 - 16x^2
The degree of a polynomial is the largest exponential value of a term.
In this case, the degree of the polynomial = 8
You are working hard at the local grocery store each weekend. You have decided to put your money in a compound interest bearing account earning 4% per year. How many years would you estimate that it would take for you to double your money
Answer:
The answer would be 18 years
Step-by-step explanation:
hope this helps:)
30 points if you answer
Of the total runs made by Indian team during a cricket match Sachin scored 44% and dhoni scored 39% if Sachin scored 30 runs more than Dhoni find the score of indian team
Answer:
difference in percentage = 44-39=5%
difference in number =30
let total number of run by team be x
5% 0f x= 30
0r 5x = 3000
x= 300/5 = 600
Step-by-step explanation:
7. if m< FGE = 5x + 10, find the value of x so that FC AE
8. if m
Answer:
22
Step-by-step explanation:
Question 23) Triangle PQR Triangle XYZ
PQ = 3a + 4 and XY = 5a - 12. Find a and PQ.
The value of 'a' will be 8.
And, The value of side PQ will be 28 units.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle PQR ≅ Triangle XYZ
Now,
Since, Triangle PQR ≅ Triangle XYZ
So, we get;
Measure of PQ = Measure of XY
Substitute the given values of sides, we get;
Measure of PQ = Measure of XY
⇒ 3a + 4 = 5a - 12
Solve for a as;
⇒ 3a + 4 = 5a - 12
⇒ 3a - 5a = - 12 - 4
⇒ - 2a = - 16
⇒ 2a = 16
⇒ a = 8
Hence, Measure of PQ = 3a + 4
= 3 × 8 + 4
= 24 + 4
= 28
Thus, The value of 'a' will be 8.
And, The value of side PQ will be 28 units.
Learn more about the triangle visit:
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One day Freya eats 12 ice creams
in 6 hours and the second day she
eats 14 ice creams in 7 hours. How
many ice creams does Freya eat
per hour?
Answer:
she ate 2 ice creams per hour
Step-by-step explanation:
Please help, question is in photo below, about finding angles.AWARDING MORE POINTS
The measure of angle ABC = ABD + DBC = 95 degrees.
Let's plug our values from the picture into our equation above.
95 = 2x + 23 + 9x - 5
Combine like terms
95 = 11x + 18
Subtract 18 from both sides
77 = 11x
Divide both sides by 11
7 = x
Angle ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37 degrees.
Angle DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58 degrees.
Help please!!!
Three fourths of the difference of a number and 7 is negative filteen. What is the number?
Answer:
The number is 27
Step-by-step explanation:
let the number be x
3/4 ( 7-x)=-15
21/4 - 3/4x=-15
collect like terms
-3/4x=-15-21/4
-3/4x=-81/4
divide both sides by -3/4
x=27
this is integrated math2, i’m so lost idk what this is
Answer:
A. SAS
Step-by-step explanation:
[tex] In\:\triangle ABM \:\&\:\triangle CBM\\
\overline{AB} \cong \overline{CB}.... (given) \\
\angle ABM \cong \angle CBM....(given) \\
\overline{BM} \cong \overline{BM}.... (common) \\
\therefore \triangle ABM \:\cong\:\triangle CBM..... (SAS\: Postulate) [/tex]
The answer is 2.95 (correct to 2 decimal places)
List 5 numbers that could have been rounded up to give 2.95
Answer:
2.947
2.946
2.948
2.949
2.945
Step-by-step explanation:
all decimal points are 5 or greater so you round up.
Answer:2.9477843782957987827878
Step-by-step explanation:
Adam has game and education apps on his tablet. He noticed that he has 4 game apps for every 3 education apps. Which of the following is another way to write this ratio?
1) 1:3
2) 3:4
3) 4:3
4) 7:3
Answer: 4:3
Step-by-step explanation: Because there are 4 game app for every 3 educational app.