Answer: C
Step-by-step explanation: A straight angle is 180 degrees:
180-130 = 50
Triangle angles equal up to 180.
50 + 2y =180
y =65
SUM OF INTERIOR OPPOSITE ANGLES = EXTERIOR ANGLE .
[tex]130 = y + y \\ 130 = 2y \\ \frac{130}{2} = y \\ \frac{ \cancel{130}^ { \tiny \: \: \: \: 65} }{ \cancel{2}} = y \\ y = 65 \degree[/tex]
The vertex of this parabola is at (-1,-3). Which of the following could be its
equation?
(-1, -3)
O A. X=-2(y+3)2-1
B. x=-2(y - 3)2 - 1
C. X=-2(y + 1)2-3
D. X = -2(y - 1)2-3
Answer:
Step-by-step explanation:
Y equals mx plus b
What is the soution of (Image below)
Answer:
A
Step-by-step explanation:
Starting with the original equation:
[tex]\sqrt{1-3x} =x+3[/tex]
Squaring both sides to remove the root, and expanding the right side:
[tex]1-3x=(x+3)(x+3)[/tex]
Multiplying the right side:
[tex]1-3x=x^{2} +6x+9[/tex]
Combine like terms:
[tex]x^{2} +9x+8[/tex]
Factor:
(x+8)(x+1)
If x+8=0, then x= -8
If x+1=0, then x=-1
help with this question please
A man is twice as old as his son. Five years ago, the ratio of their ages was 9:4. Find the son's present age
Answer:
Son's age is 25.
Step-by-step explanation:
Let the Father's age be 2x.
Let the son's age be x.
Five years ago:
Man's age will be = 2x - 5
Son's age will be = x - 5
If the ratio of their ages five years ago was 9:4, then:
2x - 5/x-5 = 9/4
⇒ 4(2x - 5) = 9(x - 5)
⇒ 8x - 20 = 9x - 45
⇒ -20 + 45 = 9x - 8x
⇒ 25 = x
∴ x = 25
Hence, the son's age = 25 years
If x = 25, the father's age (2x) will be 2 × 25 = 50 years
The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?
Answer:
160°
Step-by-step explanation:
Let one angle be x
Let second angle be 8x
Sum of supplementary angles = 180°
x+ 8x = 180°
9x = 180
x = 180/9 = 20
First angle= x= 20°
Second angle = 8x = 8*20 = 160°
Given that u=4,t=5,a=10and s=it+1\2at
Mount Everest, at 29,028 feet, is the tallest mountain on the Earth. What is its height in kilometers
Answer:
8.8477344 km
Step-by-step explanation:
[tex] \because \: 1 \: ft = 0.000305 \: kilometre \\ \\ \therefore \: 29028 \: ft = 29028 \times 0.000305 \: km \\ \\ = 8.8477344 \: km[/tex]
ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages
Answer:
Their present ages are 12 years and 16 years.
Step-by-step explanation:
Given that,
Ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5.
Let their present age is 3x and 4x.
Ages after four years from now will be:
[tex]\dfrac{3x+4}{4x+4}=\dfrac{4}{5}\\\\5(3x+4)=4(4x+4)\\\\15x+20=16x+16\\\\20-16=16x-15x\\\\x=4[/tex]
So,
Raju's present age is 3(4) = 12 years
Ravi's present age is 4(4) = 16 years
Find the area of the trapezoid
Answer:
112
Step-by-step explanation:
add both bases the multiply by the height
Answer:
112
13 + 15
= 28 ÷ 2
= 14 × 8
= 112
m.c.m (35;50)
m.c.d (35;50)
m.c.m (116;92)
m.c.d (116;92)
Ayudaaa
9514 1404 393
Answer:
350, 5, 2668, 4
Step-by-step explanation:
a) mcm(35, 50) = 35·50/mcd(35, 50) = 35·50/5 = 350
__
b) mcd(35, 50) = 5
35 = 5·7; 50 = 5·10
__
c) mcm(116, 92) = 116·92/mcd(116, 92) = 116·92/4 = 2668
__
d) mcd(116, 92) = 4
116 = 4·29, 92 = 4·23
The distance traveled (in meters) by an insect is modeled by the equation d=0.3t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 26.3 minutes. A. 0.789 meters B. 87.67 meters C. 26 meters D. 7.89 meters
Answer:
D. 7.89 meters
Step-by-step explanation:
Given,
d = 0.3t
Here,
t = 26.3
Therefore,
d = 0.3*26.3
= 7.89m
# By selling 5 oranges, a shopkeeper gains the selling price of 1 orange. Find his profit percentage.
O 50%
O 25%
O 15%
O 20%
profit from selling 5 oranges is 20%
Profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
What is profit?" Profit is defined as difference of cost price from selling price when the selling price of a product is greater than its cost price."
Formula used
Profit percentage = [tex]\frac{Selling price - cost price}{cost price} (100)[/tex]
According to the question,
We know that,
Selling price = cost price + profit
Substitute the given condition in the selling price formula we get,
Selling price of 5 oranges
= Cost price of 5 oranges + Selling price of 1 oranges
⇒(S.P of 5 oranges) - (S.P of 1 oranges) = C.P. of 5 oranges
⇒S.P of 4 oranges = C.P of 5 oranges
⇒[tex]\frac{S.P}{C.P}=\frac{5}{4}[/tex]
Substitute the value in the formula to get profit percentage,
Profit percentage = [tex]\frac{5-4}{4}(100)[/tex]
= 25%
Hence, profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
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What is the equation of the line graphed below?
5
-5
5
(1, -3)
-5
O A. y = 3x
B. y=-3x
c. y=-5
D. y =
-X
Answer: y = -3x this is the answer.
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Answer:
3/5
Step-by-step explanation:
prependicular / hypotenuse
sin C=ED/CD
=3/5
nate and laura picked 20 apples laura picked 1/2 of what nate picked
how many did nate pick?
Answer:
10
Step-by-step explanation:
20÷2=10 the half of 20 is 10 simple as that
Answer:
ok so together they picked 20 apples so
20=y+1/2y
y=40/3 or 13 1/3
thats how many nate picked and we divide by 2
6 2/3
Hope This Helps!!!
write a function rule for the following data
Be sure to show your work and solve for e:
(264 + 3 x 6) divided by 3 = e
Answer:
94
Step-by-step explanation:
(264+3*6)/3 = e
PEMDAS, so multiplication first.
3*6 = 18
= (264 + 18)/3
= 282/3
= 94
Can someone help me with this math homework please!
9514 1404 393
Answer:
(a) Micah's solution is wrong.
Step-by-step explanation:
After adding 5/2x to both sides, Micah should have obtained ...
5/6 = 8
This would indicate there are no values of x that make the statement true.
Given a line segment that contains the points A,B, & C in order, if AB = 2x - 2, and BC = 2x + 10, and AC = 32, find x.
Select one: a. 6
b. 24
c. 8
d. - 4
Answer:
a. 6
Step-by-step explanation:
AB +BC =AC
2x-2+2x+10=32
4x+8=32
4x=32-8
4x=24
x=24/4
x=6
HELP PLEASE (CIRCLES) (40 points)
the line 3y - x = 5 is the tangent to a circle at the point A(1,2). (1) Find the equation of the line passing through A and the centre of the circle. The equation of another line passing through the centre of the circle is x + 3y = 15. (2) Find the equation of the circle.
Answer:
x² + (y - 5)² = 10Step-by-step explanation:
Tangent line is:
3y - x = 5 ⇒ 3y = x + 5 ⇒ y = 1/3 x + 5/3, the slope is 1/3Perpendicular line to this has a slope of -3 and passes through point (1, 2).
Its equation is:
y - 2 = -3(x - 1) ⇒ y = -3x + 3 + 2 ⇒ y = -3x + 5Using the second line passing through the center, find the coordinates of the center:
x + 3y = 15 ⇒ 3y = -x + 15 ⇒ y = -1/3x + 5Solve the system by elimination:
-3x + 5 = -1/3x + 5 ⇒ x = 0Then
y = 5The center is (0, 5) and radius is the distance from center to point (1, 2):
r² = (0 - 1)² + (5 - 2)² = 1 + 9 = 10The equation of circle:
(x - h)² + (y - k)² = r²(x - 0)² + (y - 5)² = 10 ⇒ x² + (y - 5)² = 10Can someone help me with this math homework please!
Answer:
During that time, math symbols (like the division and multiplication sign) and numbers weren't invented yet, so they used words because that was the only choice either than verbally speaking.
Step-by-step explanation:
This is open-ended question, so you can write something similar to the answer I wrote or add on to it :-)
I searched online for the answer and found it on Brainly just to let you know because I was unsure about it loll
Credit: Edufirst
Hope it helps (●'◡'●)
4x - 10 + 5x = 71 solve the equation and enter the value of x below
Answer:
x = 9
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:
4x - 10 + 5x = 71
(4x + 5x) - 10 = 71
9x - 10 = 71
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 10 to both sides of the equation:
9x - 10 (+10) = 71 (+10)
9x = 71 + 10
9x = 81
Next, isolate the variable x by dividing 9 from both sides of the equation:
(9x)/9 = (81)/9
x = 81/9 = 9
x = 9 is your answer.
~
Which of the following is an arithmetic sequence
Answer:
First one.
-3 is added to the previous term.
At dinner, the number of quarts of water the restaurant sells is 36 fewer than twice as many as it sells at lunch. The restaurant sells 144 quarts of water at lunch and dinner combined. How many quarts of water does the restaurant sell at lunch?
I need help ASAP please help! I have to choose between 4 graphs
Answer:
Step-by-step explanation:
This is a sideways cubic translated down 2 units. The graph shown is the sideways cubic translated up 2. So locate the graph that looks like this but has its "squiggly part" at -2 instead of 2.
Solve the equation and enter the value of x below. 7(x + 8) = 84
Hello!
7(x + 8) = 84 <=>
<=> 7x + 56 = 84 <=>
<=> 7x = 84 - 56 <=>
<=> 7x = 28 <=>
<=> x = 28 : 7 <=>
<=> x = 4
Good luck! :)
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games.
x = number of used games
y = number of new games
Which linear equation, written in standard form, expresses the scenario?
Answer:[tex]12x+25y=300[/tex]
Step-by-step explanation:
Answer:
12x + 25y = 300
Step-by-step explanation:
Select the correct answer. Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch butterflies living there. The table shows her findings. Area Buckeye Butterflies Monarch Butterflies A 15 16 B 27 36 12 25 24 32 E 44 33 The relationship between the number of buckeye butterflies and the number of monarch butterflies is not proportional across all areas. Which two areas have buckeyes and monarchs in the same proportion? OA. areas A and B OB. areas Cand E O C. areas B and D OD. areas C and D
A ratio shows us the number of times a number contains another number. The two areas that have buckeyes and monarchs are in the same proportion as A and D.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of buckeyes and monarch butterflies in different areas can be written as,
Area A,
Buckeyes/Monarchs = 15/16
Area B,
Buckeyes/Monarchs = 27/36 = 3/4
Area C,
Buckeyes/Monarchs = 12/25
Area D,
Buckeyes/Monarchs = 24/32 = 3/4
Area E,
Buckeyes/Monarchs = 44/33 = 4/3
Hence, the two areas that have buckeyes and monarchs are in the same proportion as A and D.
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Answer:B and D
Step-by-step explanation:
i just took the test
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
The sum of the angles of all the sectors in a pie chart should add up to ???
a). 180⁰
b). 90⁰
c). 360⁰
Answer me please ...
Answer:
C
Step-by-step explanation:
Since the sectors all meet at the centre of the circle, then
The angles around a point sum to 360° → A
90°... See More
https//90°.com