Answer:
51+x-5+y-6=180
x+y=180-51+5+6
X+y=140
Answer x=77 y=63
(those 2 lines with the arrows are perpendicular so their angles are the same 72° and (x-5)=77-5= 72°)
The values of x and y are 77 and 63 respectively.
What is Angle?Angle is defined as the figure formed by two lines or rays which has a common point of intersection where the angle is formed.
Sum of the interior angles of a triangle is supplementary.
That is three angles (y - 6)°, 72° and an unknown angle is supplementary.
We have two parallel lines given and a transversal line intersects the parallel lines.
So the unknown angle of the triangle and the angle 51° are alternate interior angles and are thus equal.
So the third angle of the triangle = 51°
(y - 6) + 72 + 51 = 180
y - 6 + 123 = 180
y + 117 = 180
y = 63
The angles (x - 5)°, 51° and (y - 6)° are supplementary.
(x - 5) + 51 + (y - 6) = 180
x - 5 + 51 + 63 - 6 = 180
x + 103 = 180
x = 77
Hence the value of x is 77 and the value of y is 63.
To learn more about Angles, click on the link given below :
https://brainly.com/question/28451077
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There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 233.5 grams of this cereal,
There are calories in 233.5 grams of this cereal.
(Round to the nearest whole number as needed.)
Answer:
145
Step-by-step explanation:
110÷177.4=.62 cal per gram
.62×233.5=145 rounded
If : f(x): m, x + 3 0
- 2x +12. 5< X < infinity
What must the value of m, be so that the
two pieces of this piecewise function intersect
the same point ?
A. m, = -5
B. m, = -1/5
C. m, = 2
D. m, = 5
Answer:
.
Step-by-step explanation:
Steven bagged 52 pounds of potatoes. About what is that measure in kilograms?
Answer:
52 pounds in kilograms is 23.5868
Solve for z.
z/4 −2
= 2
z =
Answer:
z=16
Step-by-step explanation:
z/4-2=2(take l.c.m)
or,(z-8)/4=2
or,z-8=8
z=16
Answer:
z = 16
I hope this helps!
Peter is saving money to buy an MP3 Player. After one month, he has $50. After two months he has $85. After three months, he has $120. He plans to keep saving at the same rate. How long will it take Peter to save enough money to buy an MP3 Player that costs $295?
Answer:
9 months
Step-by-step explanation:
peter is saving 35 dollars per month.
295=35x
295/35=8.42 which is less than 295
9 is an approximate answer
35*9 equals 315, which is enough to pay 295 and have 20 dollars left over
what is 56897712937e+ - (-73618260) ??
Your answer is 1.54737637e11
Answer:
154737637418
Step-by-step explanation:
solve for x 3x+10 3x -28 will mark brainest answers are 1. 33 2. 34 3. 35 4. 36 ty so much 1 left godbless
Answer:
1. x = 33Step-by-step explanation:
3x+10 + 3x -28 = 180
3x + 3x = 180 + 28 - 10
6x = 198
x = 198/6
x = 33
Answer:
33
Step-by-step explanation:
By the same side interior angle theorem, we can find that 3x + 10 and 3x - 28 are supplementary. Knowing this, we can make the equation:
(3x + 10) + (3x - 28) = 180
Now we can solve for x. Combine like terms.
6x - 18 = 180
Add 18 from both sides.
6x = 198
Divide both sides by 6.
x = 33
So the value of x would be 33.
I hope you find my answer and explanation to be helpful. Happy studying.
Which of all the following inequalities is true for all real values of x?
Answer:
C. 1/(x^2 +1) > 0
Step-by-step explanation:
The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.
1/x^2 is undefined for x=0, so cannot be compared to zero.
The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.
1/(x^2 +1) > 0
Complete the following statement.
+(-7) = 3
I need help
Answer:
10
Step-by-step explanation:
Well is you do 10+(-7), the signs would change to 10-7, therefor it equals 3
Answer:
it's 10.
Step-by-step explanation:
10+(-7) =3
10-7=3
PLEASE HELPP
What does it mean for angles to be supplementary and complementary?
Answer:
A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.
Step-by-step explanation:
hopes this helps
Answer:
Step-by-step explanation:
Supplementary is when all the angles add up to 180. Complementary is when all the angles add up to 90.
4/5% of 192?
show work please
Answer:
153.60
Step-by-step explanation:
This will help you and make me burillan
What number is not an integer
3407, 6.729, 0, -46
Answer:
6.729
Step-by-step explanation:
Integers only include plsitive and negative numbers and zero. 6.729 is a number alright but it is a fractional or decimal number.
what is the equation of the line that passes through (6,4) and (4,1)
Answer:
y = 3/2*x - 5
Step-by-step explanation:
Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:
P1=(x1,y1) and P2=(x2,y2)
slope formula ---> m=(y2-y1)/(x2-x1)
Replacing the given points ---> m=(1-4)/(4-6) = 3/2
then replacing the slope value obtained:
y = 3/2*x + b
Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:
1 = 3/2*4 + b
1 = 6 + b
1 - 6 = b
-5 = b
therefore the line equation is:
y = 3/2*x - 5
Partial credit
00:00
Selma buys 10 juice boxes. She wants to give 2 juice boxes to each friend.
Part A
Which expressions can Selma use to figure out how many friends can get juice boxes? Choose all that apply
A.
10 - 2
B. 0 + 2. 2 + 24 + 2. 6 + 2
10 - 2
D
10 X 2
E. 10 - 2.8 - 2.6 -2.4 - 2.2 - 2
00:00
Part B
Solve the problem. How many friends can get juice boxes?
Enter you answer in the box
Answer:
A
Step-by-step explanation:
you will figure out how many friends can get juice boxes if you do 10-2 and you keep going until you have 0 left
The ordered pairs below represent a relation. Is the relation a function? (4,6) (5,6) (6,7) (7,8)
Answer:
no because two inputs have the same outputs
Step-by-step explanation:
4 log x = 4
What’s The Answer To This ?
Answer:
8
Step-by-step explanation:
Write - 2.17 as a fraction
Answer:
2 17/100
Step-by-step explanation:
not sure if that is a negative sign before, if so, add the negative
Hi so i totally forgot basic algebra; is the difference of 5 and 6 expressed as 5-6 or 6-5
Answer:
6-5 because 6 > 5, so the difference is 1 instead of -1.
Step-by-step explanation:
Answer:
6-5
Step-by-step explanation:
you subtract it correctly
Neptune is about 2,700,000,000 miles from earth mercury is about 135,000,000 miles from earth determine how many times farther it is from earth to Neptune
Answer:
2 or 2 x 10⁰
Step-by-step explanation:
Answer:
20 times further
Step-by-step explanation:
Neptune is about 2,700,000,000 miles from Earth.
Mercury is about 135,000,000 miles from Earth.
Write in scientific notation to help solve. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. The power is the number of decimal places you move.
2,700,000,000 = 2.7 x [tex]10^{9}[/tex]
135,000,000 = 1.35 x [tex]10^{8}[/tex]
2)
[tex]\frac{Neptune}{Mercury} = \frac{2.7 * 10^{9} }{1.35*10^{8} }[/tex]
You can see there is only one extra 0 on top, the rest will cancel so you're left with:
[tex]\frac{27}{1.35} = 20[/tex]
It's 20x farther to Neptune from Earth, than it is to Mercury from Earth.
Simplify
56
to lowest terms.
64
Answer:
7/8 is the simplified fraction for 56/64 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 56/64 by using the prime factorization method.
Step-by-step explanation:
Identify all the numbered angles that are congruent to the given angle.
Justify your answers.
Answer/Step-by-step explanation:
The reasons for the stated numbered angles that are congruent to the given angles are written in the parentheses as follows:
7. <7 ≅ 65° (alternate interior angles)
<4 ≅ 65° (corresponding angles)
<1 ≅ 65° (vertical angles)
8. <4 ≅ 51° (alternate interior angles)
<5 ≅ 51° (corresponding angles)
<7 ≅ 51° (vertical angles)
9. <1 ≅ 120° (corresponding angles)
<3 ≅ 120° (alternate angles)
more FILL IN THE BLANKS FOR SCHOOL.... please help soon as possible
Answer:
2
Step-by-step explanation:
-42/14 = 3, so you need to cancel out the 1/2 being multiplied on the bottom part of the fraction
In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE IM BEGGING FOR HELP
For what value of x is m∥n ?
Enter your answer in the box.
x =
Answer: x = 6
Step-by-step explanation:
Angles 1 and 8 are alternate exterior angles, so they are equal.
So you can create an equation to solve for x
12x−20 = 2x+40 Subtract 2x from both sides. Add 20 to both sides
10x = 60
x = 6
If you need the m∠1, Substitute 6 for x. (2x+40)° 2(6) +40= 12+40 m∠1= 52°
m∠8=(12x−20)° 12(6) - 20 = 72-20 m∠8 = 52°
Answer:
x=6
Step-by-step explanation:
free point
Evaluate the function.
f(x) = -x^2+ 7x - 13
Find f(-3)
Change this percent to a decimal: 8.25%
Answer:
0.0825
Step-by-step explanation:
8.25×0.10=0.0825
4x+ 2/3y= 20 solve for y
Answer:
y=-6s+30
Step-by-step explanation:
7th grade math help me pleasee
Answer: 15 + (-35) = -20
Step-by-step explanation: This is the addition equation for your question.
Answer:
15 plus -15 plus -20
Step-by-step explanation:
15 plus -15 equals zero, when we add a the a negative and a positive of the same number it's a zero. And I add -20 to go down instead of subtracting.
~~Hope this helps~~~ :)
Side Length
(inches)
Perimeter
(inches)
0.5
2
7
?
20
Answer: The missing side is 10.5 inches
Step-by-step explanation:
Add the side lengths you know 0.5+2+ 7= 9.5
Subtract that from 20 20- 9.5 = 10.5
Don't forget to include the unit length,inches.
Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)
Answer:
Hello
Midpoints of (-6,4),(-1,-6)
P(a,b)=(x1+x2/2),(y1+y2/2)
=(-6+-1/2),(4+-6/2)
=(-7/2),(-2/2)
=(-7/2),(-1)
Midpoints of the segment with endpoints (-6, 4) and (-1,-6) are (-7/2),(-1)
Hope it helps you......
6. Given: 9x^3 – 3x^2 + 2x^4 – 7x – 10
a. What is the leading coefficient?
b. What is the degree?
c. How many terms are there?
d. What is the constant?
e. What is the quadratic coefficient?
Answer:
a. 2, because it is the coefficient of the highest degree.
b. 4
c. 5 terms.
d. -10
e. 3, as it is the coefficient of x^2.
If you need more help don't hesitate to ask :)