Answer:
[tex](a)[/tex]
[tex]x = 18.5[/tex]
[tex]y = 22.5[/tex]
[tex](b)[/tex]
[tex]x = 10[/tex]
Step-by-step explanation:
Solving (a):
7x - 19 and 3x + 14 are interior angles.
So:
[tex]7x - 19 + 3x +14 = 180[/tex]
Collect like terms
[tex]7x + 3x = 180 - 14 + 19[/tex]
[tex]10x = 185[/tex]
[tex]x = 18.5[/tex]
7x - 19 and 5y - 2 are equal angles --- corresponding angles
So:
[tex]5y - 2 = 7x - 19[/tex]
Make 5y the subject
[tex]5y = 7x - 19+2[/tex]
5y = 7x -17
Make y the subject
[tex]y = \frac{1}{5} (7x - 17)[/tex]
Substitute [tex]x = 18.5[/tex]
[tex]y = \frac{1}{5} (7*18.5 - 17)[/tex]
[tex]y = \frac{1}{5} (112.5)[/tex]
[tex]y = 22.5[/tex]
Solving (b):
The triangle is right-angled.
So:
[tex]5x + 3 + 2x + 17 + 90 = 180[/tex]
Collect Like Terms
[tex]5x + 2x = 180 - 90 - 17-3[/tex]
[tex]7x = 70[/tex]
[tex]x = 10[/tex]
Find the missing side length.
Answer:
4
Step-by-step explanation:
(6√5)²+x²=14²
36(5)+x²=196
180+x²=196
x²=196-180
x²=16
x=√16
x=4
graph 1.5 > f on a number line
Answer:
Step-by-step explanation:
What is the length of AB?
Answer:
10 I think but I might be wrong
Step-by-step explanation:
.........
Answer:
10
Step-by-step explanation:
You use the pythagorean theorem for this problem.
A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says they now have about 120 apples.
Is the owner's estimate reasonable?
The owner’s answer is reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 fewer apples than they started with.
The owner’s estimate is not reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 more apples than they started with.
The owner’s estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.
The owner’s estimate is not reasonable. They ordered about 240 apples and sold about 240 so they should have about the same number of apples as they started with.
help please and thank you no spamming
please help asap! will give 20 points
Answer:
its 84 I did the math for you
How can you determine the measures of central angles and inscribed angles of a circle ?
Answer:
Inscribed angle is half of central angle standing on same arc.
15. Write an equation of a line in standard form that: 2x + 5 passes through the point (1, 5) and is parallel to y=2x+5
Answer:
[tex]y = 2x +3[/tex]
Step-by-step explanation:
Given
Parallel: [tex]y = 2x + 5[/tex]
Passes through (1,5)
Required
Determine the equation
Because it is a parallel to [tex]y = 2x + 5[/tex] then they have the slope.
The slope of [tex]y = 2x + 5[/tex] is 2 i.e. from [tex]y = mx + b[/tex]
So:
[tex]m = 2[/tex]
The line equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 2(x - 1) + 5[/tex]
[tex]y = 2x - 2 + 5[/tex]
[tex]y = 2x +3[/tex]
Hi I want to make sure I’m correct so your suppose to answer this is multiplication
My answer is 8,436yd^2
The 2 is a exponent
Plz correct me if I’m wrong I’m really trying to learn from my mistakes
I think your right.. Great job fr
Step-by-step explanation:
Mary has read 150 pages of her 250 page book. What percent of her book has Mary read?
Answer:
she has read 60% of her book
Step-by-step explanation:
can someone one talk with me in comments plz
find the number of distinguishable permutations of the digits of the number 287,772
Answer:
60
Step-by-step explanation:
Use r-combinations.
Treat it as though u are filling in 6 slots
_ _ _ _ _ _
1. First fill in the 7s, there are three of them and 6 ways to do so
so (6 Choose 3)
2. then fill in the 2s, now with the 3 slots taken up by the 7, 3 slots left.
So its (3 Choose 2).
3. and only 1 way to fill in the 8. (1 choose 1)
By multiplicative rule,
(6C3) * (3C2) * (1C1) = 60
Find the highest common factor using prime factorization for 36
Answer:
54,18
Step-by-step explanation:
for example the number 36 can be as a product of primes as 36=2 exponents two x 3 exponents 2 the expression 2 exponents 2 x 3 exponents 2 is said to be on the prime factorization of 36
A pastry chef has a container with 1/4 pound of sprinkles the chef needs to spread the sprinkles equally among 5 cakes. What fraction of the sprinkles will the chef use on each chef ?
Answer:
d
Step-by-step explanation:
Which equation represents a line that passes through (2, -1) and has a slope of 3?A) y- 2 = 3(x + 1/2)
B) y- 3 = 2(x + 1/2)
C) y+ 1/2= 3(x - 2)
D) y+ 1/2= 2(x - 3)
Given:
The slope of the line is 3.
The line passes through the point (2,-1).
To find:
The equation of the line.
Solution:
Point slope form of a line: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (2,-1) with slope 3. So, the equation of the line is
[tex]y-(-1)=3(x-2)[/tex]
[tex]y+1=3(x-2)[/tex]
Therefore, the required equation is [tex]y+1=3(x-2)[/tex]. Hence, all the options are incorrect.
I need help with the middle one. Thank you.
Answer:
265
Step-by-step explanation:
765-500=265 = 500+265=765
Answer:
Uncle Jim gave Louise 265 cents.
Step-by-step explanation:
765-500=265
To check:
265+500 or 500+265
Hope this helped! :D
Use the ten frame to make a
ten to help you subtract. Ray has 14 pens. 8 are black. The rest are blue. How many pens are blue?
Answer:6 pens are blue
Step-by-step explanation:because 14-8=6 pens would be left and would be blue
Maine has a cold climate in the winter. Which statements about the probability of temperatures falling below 32 degrees Fahrenheit in Maine during the month of January is most likely true?
1. The probability could be -1
2. The probability is 100
3. The probability is closer to 1 than to 0
4. The probability cannot be determined before February
Please help!!
Help!!!!!! I’ve been working on this for 1 hour
Answer:
7.83
Step-by-step explanation:
cos(40)=6/(ZX)
zx=7.83
PLEASE ANSWER THIS QUESTION CORRECTLY, I’LL GIVE YOU BRANLIEST!It would be good if you could answer my other math questions if you solve this one, thank you.
Answer:
The correct answer is A
Step-by-step explanation:
Using a recursive sequence means you use the output of the last term as the input for the current term.
In this case your base case is t1=2, therefore:
t2=2(2)-1=3
t3=2(3)-1=5
t4=2(5)-1=9
t5=2(9)-1=17
etc.
If this helped, a brainliest answer would be greatly appreciated!
An art class is making paperweights out of plaster. They use a mold in the shape of a rectangular prism. (2 1/4m, 2 1/2m, and 1 3/4m represents the size of the prism)
How much plaster will it take to completely fill the mold?
9.84 m³ plaster will it take to completely fill the mold.
What is Volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Cubic units are used to quantify a solid's volume. For instance, the volume will be given in cubic metres if the dimensions are given in metres. The International System of Units uses this as the reference unit for volume (SI).
We have,
A rectangular prism. (2 1/4m, 2 1/2m, and 1 3/4m represents the size of the prism).
So, the capacity or Volume of mold is
V= l w h
Now, w= 2 1/2 = 5/2 = 2.5 m
and, h=1 3/4 = 7/4 = 1.75 m
and, l= 2 1/4 = 9/4 = 2.25 m
Then, the Volume is
V= 2.5 x 1.75 x 2.25
V = 9.84 m³
Thus, the required volume is 9.84 m³.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ5
If r = 12 units and x = 13 units, then what is the volume of the cylinder shown above?
Answer:
2,016 pi cubic units
Step-by-step explanation:
please help urgent will mark brainlist thank you
Answer:
Step-by-step explanation:
v = 3y
1/2- 1/4 ❤❤❤❤❤❤❤❤
የዐዪቻልሀዐዪ ቿነ የልዪል ዘዐሃ
Answer:
1/4 lol
Step-by-step explanation:
1/2=2/4
2/4-1/4=1/4
or in decimal form
.50-.25 =.25
Who wants a brainy list? plz plz plzzzzzzz help PLEASE HELP NOW!!!!!
Find the volume. Please help (multiple choice )
Answer:
c.) 2144.66
formula V= 4/3 x pi x r^3
Please help brainiest to whoever
Answer:
I. The width is 43.5 inches.
II. The length is 24.5 inches.
Step-by-step explanation:
Let the length and width of the rectangle be L & W respectively.
Given the following data;
Perimeter of rectangle = 136 inches
Translating the word problem into an algebraic expression, we have;
L = W - 19 ......equation 1
Perimeter of rectangle = 2(L + W) ......equation 2
To find the dimensions of the rectangle;
136 = 2(L + W)
Substituting eqn 1 into eqn 2, we have;
136 = 2(W - 19 + W)
136 = 2(2W - 19)
136 = 4W - 38
4W = 136 + 38
4W = 174
W = 174/4
W = 43.5 inches
To find the length;
L = W - 19
L = 43.5 - 19
L = 24.5 inches
What is y? Have been having so much trouble
Answer:
9
Step-by-step explanation:
They are alternate interior angles, so they most both equal 80.
9y-1=80
9y=81
y=9
Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)
Given:
The graphed point is (60,-20).
To find:
The ordered pair that would form a proportional relationship with the given point.
Solution:
If y is proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
[tex]\dfrac{y}{x}=k[/tex]
Where, k is the constant of proportionality.
For the given point,
[tex]k=\dfrac{-20}{60}[/tex]
[tex]k=\dfrac{-1}{3}[/tex]
For option (A),
[tex]k=\dfrac{30}{-10}[/tex]
[tex]k=-3\neq \dfrac{-1}{3}[/tex]
For option (B),
[tex]k=\dfrac{-15}{30}[/tex]
[tex]k=-\dfrac{1}{2}\neq \dfrac{-1}{3}[/tex]
For option (C),
[tex]k=\dfrac{10}{-30}[/tex]
[tex]k=\dfrac{-1}{3}[/tex].
The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.
Therefore, the correct option is C.
6=a/4 + 2 what is the answer to this?