Answer:
x = 21
Step-by-step explanation:
[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]
The value of x and y are 21 and 20 degrees respectively.
What is linear pair?
Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
WE are given two adjacent angle (5y + 10) and (3x + 7)º
These angles make a linear pair so,
(5y + 10) + (3x + 7)º = 180
Also, we can see that angle Y and (3x + 7)º lies on a straight line then;
y + (3x + 7)º + 90 = 180
(3x + 7)º = 180 - 90 - y
(3x + 7)º = 90 -y
Now replace (3x + 7)º by 90 - y in the first equation.
(5y + 10) + (3x + 7)º = 180
(5y + 10) + (90 - y )º = 180
Finally, simplify;
4y + 100 = 180
4y = 80
y = 20
Now, (3x + 7)º = 90 -y =90 - 20
(3x + 7)º = 70
3x = 70 - 7
3x = 63
x = 21
Hence, the value of x and y are 21 and 20 degrees respectively.
Learn more about angles;
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A school wants to buy some new desks and chairs. If it buys 40 desks and 100 chairs, the
total cost is $1100; if it buys 50 desks and 80 chairs, the total cost is $1150. What is the
price of a desk and a chair
Answer: The price of desk is 15 and the price of the chairs 5
Step-by-step explanation:
HELP ASAP!!
the questions are in the picture
Answer:
1. Y≤2x-4
2. Yes, since its a solid line it includes points on the line
Step-by-step explanation:
Answer: y [tex]\leq[/tex] 2x - 4
Formula is y = mx + b
m is the slope and b is the y-intercept.
Yes its a solution because the line passes through the point (2,0).
Mark me brainllest :D
In an obtuse triangle, the measures of two angles are 20° and 10°. What is the measure of the third angle?
Answer:
150 degrees
Step-by-step explanation:
180-20-10
Answer:
10 degrees
Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.
Put the following numbers in order from least to greatest.
1/4 1/8 1/2
Answer:
1/8 1/4 1/2
Step-by-step explanation:
i hope it will help you
Step-by-step explanation:
1\8 1\4 1 \2
PLZ dont ignore me! I need help on this :(
Answer: should be the last answer! to the right.
Step-by-step explanation:
You have 30 coins and the d are dimes and q are quarters
Choose the correct solution for this equation X/2-12 = 24
Answer:
Your answer would be x = -240
Step-by-step explanation:
1. First do 2-12 to get a denominator of -10.
2. Multiply -10 on both sides to get x = 24 * -10
3. Solve 24 * - 10 to get x = -240
The quadrilateral is a parallelogram. Find the measure of angles 1, 2 and 3
Answer:
im pretty sure every angle is 80 degrees
Step-by-step explanation:
this is my first day in brainly, so im soo sorry if im wrong
help plz ...............
Answer:
1.869 more miles
Step-by-step explanation:
the formula is
[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]
Answer:
1. 869 miles farther
Step-by-step explanation:
4.89-3.021= 1.869miles
Therefore, Jake went 1.869 miles farther than Tom did.
Write an equation in slope-intercept form for the line with slope −3 and y-intercept 2.
Answer: Y= -3x+2 is how you would write it according to the slope-intercept formula Y=MX+B
Step-by-step explanation: M being your slope
And B being your Y-Intercept
What is -2(g+5) please help :)
Answer:
-2g -10
Step-by-step explanation:
On simplifing this expression we get,
-2(g+5)
=> -2g + (-10)
=> -2g - 10
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Thanks!!
Answer:
-2g-10
Step-by-step explanation:
-2(g+5)
Use the distributive property to simplify the equation
(-2*g)+(5*-2)
(-2g)+(-10)
-2g-10
Hope this helps. Have a nice day. May it be filled with joy ad happiness. Please, be safe and wash your hands. Happy Holidays.
What is the value of the 100th term in this arithmetic sequence?
5, 7, 9, 11, ...
Answer:
the 100th term would be 193
Step-by-step explanation:
5-(n-1) times 2
5-99 times 2
5-198
193
I hope this helps
PLEASE ANSWER THIS ASAP !!!!!!
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus
y = - x ← equation of line
Kris can run 200 meters in 25 seconds at this rate how many meters can he run in 80 seconds?
Answer:
640
Step-by-step explanation:
200 divided by 25 = 8
which means Kris can run 8 meters per second. 8 times 80 equals 640.
Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get back?
Answer:
$0.32, so a quarter a nickel and 2 pennies
Step-by-step explanation:
Answer:
$0.32
Step-by-step explanation:
First, add $1.29+$0.39 to get the total amount of the transaction.
$1.29+$0.39 = 1.68
Then, subtract that from the amount paid.
$2.00-$1.68
= $0.32
Find the shortest distance from point A to the given line.
y = 3x +1 ; A (3,0)
What is the shortest distance from point A to the line?
Step-by-step explanation:
please i work on by paper worksheet, see it
how can i work it
what is 7w when w means 2?
Answer:
14
Step-by-step explanation:
we know that w and 2 are the same here, so substitute w with 2: 7(2)
this means 7 times 2, and that is 14
Answer:
14
Step-by-step explanation:
If w=2
Plug in 7(2)... Multiply then you would have 14.
alice has 5 quarters and 2 nickels. how many cents does alice have?
Answer: $1.35 is the answer
Answer:
5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$
1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money the man collected at the end of the 5-year period. 2.) Mr. Ford invested $12 450 in a bank at 7.25% per annum simple interest for 6 years. Calculate: a.) The interest he was paid b.) The total of amount of money he would have received at the end of the period of investment. 3.) The simple on $15 000 for 9 years is interest is paid when $800 is invested for 5 years.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Using formula:
[tex]\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}[/tex]
In question (1):
[tex]Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5[/tex]
In point a:
[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240[/tex]
In point b:
[tex]\to amount = principle \ +\ simple \ interest[/tex]
[tex]= 600 + 240 \\\\= 840[/tex]
In question (2):
[tex]Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6[/tex]
In point a:
[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75[/tex]
In point b:
[tex]\to amount = principle \ +\ simple \ interest[/tex]
[tex]= 12,450 + 5,415.75 \\\\= 17,865.75[/tex]
The 3 question is incomplete, that's why it can't be solved.
PLEASE HELP PIC DOWN BELOW 8th GRADE MATH
Answer:
A) 1/5 * 10
Step-by-step explanation:
1/5 / 1/10 = Time it will take to fill up
=> 1/5 * 10 = Time it will take to fill up
=> 1*2 = Time it will take to fill up
=> 2 = Time it will take to fill up
If my answer helped, kindly mark me as the brainliest!!
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Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 equal payments of £360 each month find the ratio of the deposit dr yang pays to the total of the 12 equal payments give your answer in its simplest form
Answer:
8/3
Step-by-step explanation:
Given that:
Cost of violin = 13200 plus VAT at 20%
Cost of violin = (100 + 20)% * 13200
Cost of violin = 1.20 * 13200 = £15,840
Instalment pay = (360 * 12) = 4320
Therefore, deposit made equals ;
Total cost - Instalment pay
£(15,840 - 4320) = £11,520
Hence, ratio of deposit made to the total Instalment payment made ;
£11520 / £4320 = 8 / 3
pls :,) i suck at math
Answer:
60%
Step-by-step explanation:
The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:
10 to 6.
Percentages are typically x% out of 100, so if you multiply both by 10 you get:
100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Answer:
a i think
Step-by-step explanation:
A student thinks that the regular pentagon in the diagram
has 10 lines of symmetry. Explain the student's error.
Answer:
A
Step-by-step explanation:
The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!
Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
What is the value of k?
k=
m
Done
Intro
DOOODDOOO
9514 1404 393
Answer:
k = 2
Step-by-step explanation:
All of the triangles are similar, so the ratio of short side to long side is the same for all.
4/8 = k/4
k = 16/8 = 2 . . . . multiply by 4 and simplify
The value of k is 2.
_____
Additional comment
By similar reasoning or by the Pythagorean theorem, ...
l = √20 = 2√5
m = √80 = 4√5
what is the equation of a line parallel to y=4/5x+2 that passes through 1,2
Answer:
4/5x+6/5
Step-by-step explanation:
not sure but i have my ways with equations lol
According to the Fundamental Theorem of Algebra a 5th degree function has how many zeros?
Answer:
i need more info
Step-by-step explanation:
Pls solve... will give brainliest... linear inequality
help me please im dumb
Answer:
I believe the answer is true.
Step-by-step explanation:
Parentheses are the first operation in PEMDAS but when there is brackets I was always told to do what was inside them first. Hope this helps <3
Answer:
its true.
because BEDMAS.
^
|
B( bracket )
(-15)(-4) help meeee
Answer:
+60
Step-by-step explanation:
This is the answer because you multiply -15 x -4 =60
because negative and negative make positive and =60
Hope this helps:)
pls mark brainly
Match each interval with its corresponding average rate of change for q(x) = (x + 3)2. 1. -6 ≤ x ≤ 0 -1 2. -3 ≤ x ≤ -2 -3 3. -6 ≤ x ≤ -3 -4 4. -6 ≤ x ≤ -4 0 5. -4 ≤ x ≤ -3 3 6. -3 ≤ x ≤ 0 1