∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.
Solution:The sum of supplementary angle is 180°
First, solve for the value of y.
∠1 + ∠2 = 180°(4y + 7) + (9y + 4) = 180°13y + 11 = 180°13y = 180° - 1113y = 169/13y = 13°Then, plug and substitute the value y = 13 to find the m∠2.
m∠29y + 49(13) + 4117 + 4121Answer:The angle of m∠2 is 121The measure of angle 2 is 121 degrees.
Given:
[tex]m\angle1=4y+7\\m\angle2=9y+4[/tex]
Recall: Supplementary angles are angles whose sum equals [tex]180^{o}[/tex]
To solve this problem, create an equation to find the value of x:
Thus:
[tex]m\angle1 +m\angle2=180[/tex]
Therefore:
[tex](4y+7)+(9y+4) = 180\\[/tex]
Solve for y:
[tex]4y+7+9y+4 = 180\\\\[/tex]
Add like terms:
[tex]13y+11 = 180\\\\[/tex]
Subtract 11 from both sides
[tex]13y+11 - 11= 180 - 11\\13y = 169[/tex]
Divide both sides by 13
[tex]\frac{13y}{13} = \frac{169}{13} \\y = 13[/tex]
Find the m∠2 by substituting [tex]y = 13[/tex] into [tex]9y +4[/tex]
[tex]m\angle= 9(13)+4\\m\angle = 121^{o}[/tex]
Therefore, m∠2 = 121 degrees.
Learn more about supplementary angles here:
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find the missing endpoint endpoint h (-1,0) midpoint p(0,-1)
Answer:
Step-by-step explanation:
Let the other end point be (a,b)
Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)
So
(0,-1) = ( (-1+a)/2 , (0+b)/2)
So we have
0 = (-1 +a) /2
0 = -1 + a
a =1
and
-1 = (0+b)/2
-2 = 0+b
b = -2
So the other end point is ( 1, -2)
Given F is the midpoint of EG. FE is 6x + 7 and EG is 18x - 4. What is the value of x?
Mid point of a segment divides the segment in two equal parts.
Value of x is 3.
It's given in the question,
EG = (18x - 4)F is the midpoint of EG.Therefore, EF = FG = (6x + 7)
And EF + FG = EG (By segment addition postulate)
Now substitute the values in the expression
(6x + 7) + (6x + 7) = (18x - 4)
12x + 14 = 18x - 4
12x - 18x = -14 - 4
-6x = -18
x = 3
Therefore, the value of x is 3.
Learn more,
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it takes 4 people 2 days to build a wall. how long will it take for 2 poeple to build the same wall?
0.8 divided 11.08 plz give me answer
Answer: 0.8/11.08= 0.07220216606 or .0.7
Hope this helps!
Alexia ran 3 laps around her neighborhood. Each lap is 1 3/8 miles. How many miles did Alexia run? find your answer using addition
Answer:
4 1/2
Step-by-step explanation:
Answer:
the answer 4 1/2 that is what i got
Step-by-step explanation:
Bottled Juice Canned Juice Time (minutes) Cases packaged V 110 100 90 80 2 Cases 92 70 60 50 40 30 20 10 3 138 184 1 2 3 4 5 6 7 8 9 10 11 Minutes Fill in the blanks to compare the unit rates at which the cases are filled. I 1. What is the unit rate for bottled juice, in cases per minute? Explain how you found this unit rate. Write your answer in the space below. 2. what is the unit rate for canned juice, in cases per minute? explain how you found this unit rate. 3. are cans or bottles packaged at a faster rate?
Answer:
320
Step-by-step explanation:
hope this helps :)
Multiply.
(−2.07)(4.6)
Enter your answer in the box.
For any two integers a and b, (a + b)2 = a2 + b?
true or false
Answer:
False.
Step-by-step explanation:
Using the property of distribution, (a + b)² will be a² + b², never a² + b.
No, for any two integers a and b, (a + b)² ≠ a² + b is a false statement.
What is termed as the distributive property of multiplication?Multiplication's distributive property allows you to simplify expressions in which you multiply a number by the a sum or difference. This property states that the product of a sum or difference of two numbers is equal to the sum as well as difference of the products. When you multiply a value by a sum, the distributive property of multiplication over addition is used.For the given two integers a and b,
The given expression
(a + b)² = a² + b (false statement)
The correct statement is-
(a + b)² = (a + b)(a + b)
(a + b)² = a² + b² + 2ab
Thus, no, for any two integers a and b, (a + b)² ≠ a² + b.
To know more about the distributive property of multiplication, here
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#SPJ2
can someone solve this for me?
Answer:
9
Step-by-step explanation:
9 is 3/4*12.
How did I do this ????
Answer:
I know the first one is 6, since there's 6 sides
The second one should be Plane BDHF, since those two are exactly the same
Don't know the third one
The fourth should be segments AC, EG, and FH since they're all the same
100divided 243 = ?
and bakugou or deku which one u guys like best
Answer:
0.411522634. dotn ask me how i got it (calculator)
Step-by-step explanation:
The coordinate midpoint for AE
I dunno what your question ask
Can someone please solve for x
Answer:
x=-12
Step-by-step explanation:
AC=AB+BC
x+29=2x+33+8
x-2x=33+8-29
-x=12
x=-12
What is 52,067 in expanded form?
i need help please, this question has been giving me a headache.
Answer:
The first box (upper left corner)
Step-by-step explanation:
Since the y-intercept is 1/4 (you can find this where x = 0), in slope intercept the second number must equal the y-intercept.
Example:
y = 3x + 2 (0,2) is the y-intercept.
Therefore, the second number must equal 1/4 which the first box is correct.
(Negative 1/4 multiplied by -1 equals positive 1/4)
An object is moving at a speed of 3 kilometers per hour. Express this speed in feet per minute. Round your answer to the nearest whole number.
Answer:
164 feet per minute
Step-by-step explanation:
3 kilometers is ~9842.52 feet
Since it moves 9842.52 feet per hour, we can just divide that number by 60 which gives us 164.042 feet. Rounded it's 164 feet
3. Simplify each expression
a. 5/8 + 3/16 =
Answer:
[tex] \frac{5}{8} + \frac{3}{16} \\ = \frac{5}{8} \times \frac{2}{2} + \frac{3}{16} \\ = \frac{10}{16} + \frac{3}{16} \\ = \frac{13}{16} \\ thank \: you[/tex]
Answer:
13/16
Step-by-step explanation:
first make equal denominators
(5/8) x 2 = 10/16
= 10/16 + 3/16
= 13/16
Find the value of the variable
X=
Answer:
X=20º
Step-by-step explanation:
This is a vertical angle meaning both sides are congruent to each other.
Meaning: (x+100)º= 6x
Solve:
(x+100)º= 6x
-x -x
100º=5x
/5 . /5
x=20º
Set up a proportion to solve for x in the following similar triangles,
12
15
8 X-4
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{15}{x-4}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )
12(x - 4) = 120 ( divide both sides by 12 )
x - 4 = 10 ( add 4 to both sides )
x = 14
............-4
6.7x10 =
Answer:
The Answer is -467
Step-by-step explanation:
all it did was move the decimal to the right once
Select all of the correct forms of 806,510.
A 800 + 6 + 500 + 10
B eight hundred six thousand, five hundred ten
C 800,000 + 6,000 + 500 + 10
D eight hundred six, five ten
80 000 + 6,000 + 500 + 10
Answer:
it is a, b, and c, but not d
If the mean of a given dataset is
48 and the standard deviation is
6, where will a majority of the
data lie?
Answer:
between 42 and 54 on the data set
Step-by-step explanation:
standard deviation is the typical variance from the mean so just add and subtract 6 units each direction to get where most of the data is.
Now range of majority:-
[tex]\\ \sf\longmapsto 48-6\to 48+6[/tex]
[tex]\\ \sf\longmapsto 42\to 54[/tex]
someone help!! please
Answer:
9-5. 10 11.
Step-by-step explanation:
PLEASE HELP ILL GIVE 5 POINTS X2
22. Jesse's fish hook was 12 feet below the top of the water. He let out
some of his line, and the hook sunk another 3 feet. What is the depth of the
fish hook now? Write an addition problem, and then give the answer.
9514 1404 393
Answer:
15 ft below the top of the water
Step-by-step explanation:
We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:
-12 +(-3) = -15
The depth of Jesse's hook now is 15 feet below the water surface.
Add. Write your answer in simplest form.
5 1/5 + 4 3/5 =
A. 10 1/5
B. 9 2/5
C. 10 4/5
D. 9 4/5
PLEASE HELP AND EXPLAIN THANK YOU
Answer:
d. 9 4/5
Step-by-step explanation:
5+4=9
1/5+ 3/5=4/5
So then you'll get 9 4/5
How do I work this out (don’t tell me the answer) quickest reply gets brainiest
Answer:
2/7 divided by 3/4
So we can't divide fractions but what we can do is multiply them.
The First step is to do KCF (Keep, Change, Flip)
So It will be 2/7 TIMES 4/3. Keep 2/7 change the division sign to multiplication sign and flip 3/4 to 4/3. Now Multiply normally.
I hope this helps you find the correct answer <3
For each table, determine whether it shows that x and y are proportional. If x and y are proportional, fill in the blank with number in simplest form.
PLEASE HELP ME!?
1) 5* + 5* +1 + 5x + 2 = 155
Answer:
24.8Step-by-step explanation:
solution,= 5+5+1+5x+2=155=ADD ALL THE NUMBER REMSIN 5X BECAUSE IT IS NOT COMMON=13+5x=155now take 13 to the next side it will be +13=-13=5x=155-13=5x=142= now take 5x to another side it will divide 142=x=142÷5x=28.4 please make me BrainlistA water pipe has an outside diameter of 1 1/4 inches and a wall thickness of 5/16 inches. what is the inside diameter of the pipe?
Answer:
Step-by-step explanation:
There's a small trick here. You have to double the thickness. Why? Because the outside diameter goes through the thickness twice.
Inside diameter = outside diameter - 2 * thickness
outside diameter = 1 1/4 inches
thickness = 5/16
Inside diameter = 1 1/4 - 2 * 5/16
inside diameter = 5/4 - 10/16
Inside diameter = 5/4 - 5/8
Inside diameter = 10/8 - 5/8
Inside diameter = 5/8
