If m2 = 9x + 7 and m3 = 5x + 5, what is m1?
Answer:
B
Step-by-step explanation:
∠ 2 and ∠ 3 are a linear pair and sum to 180°
∠ 2 + ∠ 3 = 180 , that is
9x + 7 + 5x + 5 = 180
14x + 12 = 180 ( subtract 12 from both sides )
14x = 168 ( divide both sides by 14 )
x = 12
Then
∠ 3 = 5x + 5 = 5(12) + 5 = 60 + 5 = 65°
∠ 3 and ∠ 1 are vertically opposite angles and are congruent , so
∠ 1 = 65°
Which point is not in plane M.
X
P
Y
N
Answer:
i think y is correct
hope this helps
A person is 2 meters tall casts a shadow 6 meters long. At the same time, a flagpole casts a shadow 24 meters long. How tall is the
flagpole?
2m
бm
24m
Answer:
8 meters
Step-by-step explanation:
Given that:
Height of person = 2metres
Length of person's shadow = 6 meters
Height of flagpole =?
Length of flagpole shadow = 24 meters
Height of person = length of person's shadow
Height of flagpole = length of person's shadow
2 = 6
x = 24
Cross multiply
6x = 48
x = 48 / 6
x = 8 meters
PLEASE HELPPP ME DO THISS
Step-by-step explanation:
The two triangles are symmetrically the same the only difference is they are opposite Intersecting at C.
Angle DCE and BCA intersect from the triangles which both form a similar angle let's assume are 60 degrees.
Therefore, Angle ACE and BCD are 120 degrees.
Therefore all sides from both triangles correspond to be both equal, for example, BA = ED, AC = DC, BC = EC
C is the midpoint of AD and BE therefore AC = CD and BC = CE.
The angles too are equally corresponding such as,
Angle ABC = DEC , CAB = CDE and BCA = ECD
Jim's science class is making slime from cornstarch and glue. Jim is helping pass out materials. He gives each student 80 grams of cornstarch from a 2-kilogram bucket. If Jim's class has a total of 21 students, how many grams of cornstarch will he have left?
The total amount of corn starch left is 320 grams.
How to find the grams of corn starch left?He gives each student 80 grams of corn starch from a 2-kilogram bucket.
Each students collected 80 grams of corn starch.
Therefore,
1 student = 80 grams of corn starch
His class has a total of 21 students.
Therefore,
total mass of corn starch distributed = 21 × 80
total mass of corn starch distributed = 1680 grams
The corn starch from the bucket = 2 kg
1kg = 1000 g
2kg = 2000g
Hence,
The corn starch from the bucket = 2000 grams
Finally,
amount in grams of corn starch left = 2000 - 1680
amount in grams of corn starch left = 320 grams.
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Simplify it I will give brainlessly
Answer:
1+3+2+2=8
Step-by-step explanation:
Answer:
1/3+3+4(1/2)+2/3 = ♥♥♥♥6♥♥♥♥
Step-by-step explanation:
John has $190 in his savings account. He earns 10% in interest per year.
What will John’s saving account balance be at the end of the year?
Answer:
1,900
Step-by-step explanation:
Please help as soon as POSSIBLE!!!! WILL GIVE BRAINLY TO CORRECT ANSWER!!!
Answer:
I asked my friend and she said c, but she has terrible grades
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
you would need to use 2 differant types of tools the first one to measure the air pressure whitch would be a barometer and the second tool would be a thermometer.
in a right triangle, the side c opposite the right angle is called the hypotenuse, and the other two sides a and b are called legs. the pythagorean theorem states that in any right triangle, the lengths of the three sides are related by the equation . use the pythagorean theorem to answer the following question. determine the length of the hypotenuse in a right triangle with legs 5 inches and 12 inches. a. approximately 13.38 inches b. 13 inches c. 169 inches d. 17 inches
The length of the hypotenuse is 13.
A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
According to the question ,
Given that , legs is 5 inches and 12 inches
how to find hypotenuse :
we know , c^{2} = a^{2} + b^{2}
⇒ c^{2}= 5^{2} + 12^{2}
⇒ c^{2} = 25 + 144
⇒ c = \sqrt{169}
⇒ c = 13
The length of the hypotenuse is 13.
Correct option is (b) 13 inches .
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Archie and three friends go on holiday together for a week. The costs of the holiday will be shared equally between the 4 friends.
These are:
£1360 for 4 return plane tickets
£850 for the accommodation
£210 for the car hire for a week
How much does Archie have to pay for his share of the costs? £605
The amount Archie has to pay for his share of the cost is £605
How to find the amount Archie have to pay for his share of the cost?The costs of the holiday will be shared equally between the 4 friends.
These are:
£1360 for 4 return plane tickets£850 for the accommodation£210 for the car hire for a weekThe 4 of them will share the total cost equally. This means Archie paid the same amount with his friends.
Therefore, the amount Archie have to pay for his share of the costs can be calculated as follows:
total cost = 1360 + 850 + 210
total cost = £2420
Amount Archie paid = 2420 / 4
Amount Archie paid = £605
Therefore, the amount Archie has to pay for his share of the cost is £605
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Please i need help ASAP!!! Extra points!!
The cost of 3-D movie tickets is $12 for 1 ticket,$24 for 2 tickets, and $36 for 3 tickets. Determine whether the cost is proportional to the number of tickets by graphing on the coordinate plane.Explain your reasoning.
Answer:
yes the cost is proportional to the number of tickets
Step-by-step explanation:
for each 1 ticket added, it is $12 more
you can graph it by using the equation y=12x where x is the amount of tickets and the y-intercept is (0,0)
if one pound of ground beef costs $5 then how much would a 1/2 pound costs
It would cost 2 dollars and 50 cents
please please help!!!! this is my last question! thank you!!!
Answer:
B) 5
Step-by-step explanation:
Divide the volume by the formula and you get that 1000=r^3. r is 10, but every second it gains 2 cm, so divide 10 by 2 to get 5
I'll give brainliest
Answer:
C=√4^2+100^2=100.08
help! I only have a certain amount of time.... easy points! The sum of 3 times a number and 4 is 13. Find the number.
Answer:
The number is 3
Step-by-step explanation:
Ok, first thing's first: we need to make the words into an actual equation.
since it just says a number I'll use x
3 times x + 4 = 13
3x +4 =13
Now that we have our equation, we can solve for x
3x + 4 = 13
-4 -4
3x = 9
I subtracted 4 on both sides to get rid of the 4 and move it to the other side of the equation, so we can try to get x by itself.
3x =9
/3 /3
x = 3
I divided both sides by 3 to get rid of the 3 that's being multiplied by x
Now we have our number : x = 3
I hope this helps :)
Sam used the identity [tex](a+b)^{2}[/tex] to solve [tex]103^{2}[/tex].
the steps he used are listed below.
Step 1 :[tex](100+3)^2\\[/tex]
Step 2 : [tex](100)^2 + 3^2[/tex]
Step 3 : 10,000 +9
Step 4 : 10,009
In which step did he go wrong?
a)Step 1
b)Step 2
c)Step 3
d)Step 4
Answer:
Step 2
Step-by-step explanation:
(100 + 3)² = 100² + 2 x 100 x 3 + 3²
This is by the law of squares
(a + b)² = a² + 2ab + b²
A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius of the circle of burning grass is increasing with time according
to the formula r(t) = 5t + 2, express the area A burned as a function of time, t (minutes).
The area A burned as a function of time, t is
A(t)=78.5t²+62.8t+12.56
What is Radius of the circle?A circle's or sphere's radius is any of the line segments that connect the object's center to its perimeter; in more recent usage, it is also their length.
According to the given values ;
r(t)=5t+2
.°. A(t)=πr²=π*(5t+2)²
=π(25t²+20t+4)
= 78.5t²+62.8t+12.56
hence ,the area A burned as a function of time, t is
A(t)=78.5t²+62.8t+12.56
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the adams family and the green family each used their sprinklers last summer. the water output rate for the adams family's sprinkler was per hour. the water output rate for the green family's sprinkler was per hour. the families used their sprinklers for a combined total of hours, resulting in a total water output of . how long was each sprinkler used?
The duration of the sprinkler used by each families are-
Adams family: 25 hoursGreen family: 30 hoursWhat is linear equation in two variables?Linear equations in two variables are equations with one, none, and infinitely many solutions where each of the two variables has the highest exponent order of 1.
A two-variable linear equation has the standard form ax + by + c = 0, where x and y are the variables. The solutions could also be composed in pairs, such as (x, y).Now, as per the given question;
Let the total time taken by Green family is 'x'.
Let the total time taken by Adams family is 'y'
The total time for which the sprinkler are used is 55 hours.
Thus, x + y = 55 (equation 1)
The water output rate for the Green family's sprinkler was 30 L per hour.
The water output rate for the Adams family's sprinkler was 20 L per hour.
The total output of the water is 1400 L.
Then,
30x + 20y = 1400 (equation 2)
Substitute the value of x from equation 1 in equation 2.
30(55 - y) + 20y = 1400
Dividing whole equation by 10.
3(55 - y) + 2y = 140
Solving the equation.
165 - 3y + 2y = 140
y = 165 - 140
y = 25 hours. (Time for which Adams family used the sprinklers)
Put value of y in equation 1 to find x.
x = 55 - y
x = 55 - 25
x = 30 hours. (Time for which Green family used the sprinklers)
Therefore, the time for which both of the families used the sprinklers is estimated.
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The complete question is-
The Green family and the Adams family each used their sprinklers last summer. The water output rate for the Green family's sprinkler was 30 L per hour. The water output rate for the Adams family's sprinkler was 20 L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1400 L. How long was each sprinkler used?
Answer this question for me ASAP PLEASE. Please show all work.
9514 1404 393
Answer:
acute scalene triangle
Step-by-step explanation:
The largest angle is acute, and all sides are different lengths. The triangle is an acute scalene triangle.
____
The magnitudes of the coordinate differences are ...
WX = (7, 5), XY = (2, 7), WY = (9, 2)
The two sides that are closest in length are ...
WX = √(49+25) = √74
WY = √(81 +4) = √85
Obviously, these are different lengths.
You can get a clue by comparing the numbers whose squares you are adding:
7^2 +5^2 > 7^2 +2^2 . . . . . WX > XY
9^2 +2^2 > 7^2 +2^2 . . . . WY > XY
so, the only question is relation between WX and WY. We note that the length of WX is less than one of the coordinate differences of WY, so we know WY is the longest. (√74 < 9)
We can tell from the graph that angle X (opposite longest side WY) is an acute angle, so the triangle is acute.
If you made 3 lawns and made 25.50 how much per lawn
Answer:
76.5
Step-by-step explanation:
25.50 x 3 = 76.5
Answer:
$8.50
Step-by-step explanation:
put 25.50/3 and you get 8.50
Can someone help me out with this inequality problem?? Will give brainliest to best answer!!
Answer:
250x + 525y ≤ 7800
no, 15 refrigerators and 8 pianos will not fit on the truck
Step-by-step explanation:
we know that x is the refrigerators and each one is 250 lbs
this can be written as 250x
we know that y is the pianos and each one is 525 lbs
this can be written as 525y
we also know that "no more than" is the same that as less than equal to
so this can be written as ≤
we can also say that the refrigerators and pianos has to be ≤ 7800
so now we have: 250x + 525y ≤ 7800
plug in 15 to x and 8 to y
250(15) + 525(8) ≤ 7800
3750 + 4200 ≤ 7800
7950 ≤ 7800
this statement is not true so no, 15 refrigerators and 8 pianos will not fit on the truck
what is -3/4(16v+12)+10
Answer:
-3/4(16v+12)+10
=
-9/2v+1
pls helppp
math work
bleh
Answer:
Yes
Step-by-step explanation:
The solved equation will be n<-1
-11 is less than -1 so that will be answer
A salesman sells an item for $125. He gets a 20% commission. How
much money did he make?
Answer:$25
Step-by-step explanation:
20% of 125 is $25 dollars so his commission would be $25
Answer:
25 dollars
Step-by-step explanation:
125/100=1.25
multiply by 20
1.25*20=
25 dollars
He does not get the money for the item because the person is a salesman
Brainliest Please
A concession stand sold Takis for $3 each and drinks for $2 each and made $370. The total Takis sold was 20 more than the drinks. How many
bags of Takis were sold?
Answer:
102 Takis sold
Step-by-step explanation:
x = # drinks sold
y = $ Takis sold
System of Equations:
x = y - 20
3x + 2y = 370
Use substitution method to solve.
2(9n-1)+7(n+6)=-60
what is this answer
Answer:
n=-4
Step-by-step explanation:
2 (9n-1)+7(n+6)= -60
18n-2 +7n + 42 = -60
25n + 40 = -60
25n = -100
n = -4
Answer:
n = - 4
Step-by-step explanation:
2 ( 9n - 1 ) + 7 ( n + 6 ) = - 60
Solve the brackets.
18n - 2 + 7n + 42 = - 60
Combine like terms.
25n + 40 = - 60
Subtract 40 from both sides.
25n = - 60 - 40
25n = - 100
Subtract 25 from both sides.
n = -4
help me someone!!pls
Answer:
lower right
Step-by-step explanation:
The lower quartile is located at the left side of the box
The upper quartile is located at the right side of the box
The lower quartile 24 and upper quartile 42
are positioned correctly on the lower right box plot
PLEASE DOMEONE HEP ME FIND X ILL GIVE YOU BRAINLIEST
Answer:
4
Step-by-step explanation:
A baker pays $0.65 per pound for sugar and $1.20 per pound for butter. I need to write an expression that shows how much the baker will spend if he buys 8 pounds of butter and 15 pounds of sugar. Please help me, I am stumped.