Answer:
Angle Side Angle, aka ASA. The triangle LAP is congruent to triangle TAX
Step-by-step explanation:
Angle P and x are congruent, side AX and AP are congruent, and angle LAP and angle TAX are congruent because vertical angles are congruent.
#teamtrees #WAP (Water And Plant)
Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=
Answer:
x = 8, y = 2
Step-by-step explanation:
Multiply the second equation by -2:
x + 6y = 20
-2x - 6y = -28
Add the equations and simplify:
-x = -8
x = 8
Plug x = 8 back into the first equation and solve for y:
8 + 6y = 20
6y = 12
y = 2
Answer:
x=8
Y=2
or
(x,y)=(8,2)
Step-by-step explanation:
x+6y=20
x+3y=14
solve the equation for x
x+6y=20
x=14-3y
substitute the given value of x into the equation
x+6y=20
14-3y+6y=20
14+3y=20
3y=20-14
3y=6
3y/3=6/3
y=2.
substitute the given value of y into the equation
x=14-3y
x=14-3×2
x=14-6
x=8.
the possible solution of the system is the ordered pair (x,y)
(x,y)=(8,2)
or
x=8
Y=2
Proof:
Check if the given ordered pair is the solution of the system of equations
8+6×2=20
8+3×2=14
simply the equalities
20=20
14=14
since all of the equalities are true, the ordered pair is the solution of the system
(x,y)=(8,2)
Use intercepts to graph the line described by the equation 5x − 5y = 10.
A rectangle has a length that is 12 ft longer
than its width. If its perimeter is 84 ft, what
are the dimensions of the rectangle? Write
a system of equations representing the
situation and then find the dimensions to
obtain full credit.
you have 50$ and want to buy some shoes that cost $45. the tax rate for the shoes is 7%. do you have enough money to buy the shoes?
Please answer questions answer don't write a random word I will report and get banned from the site
Answer:
Yes, you have enought money
Step-by-step explanation:
45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.
20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an accident, police can use the formula v=25L to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
The correct format of the question is
After an accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
Answer:
48.6mi/h, Yes the car was speeding.
Step-by-step explanation:
The speed of the car is given by [tex]v=2\sqrt{5L }[/tex]
Skid length (L) = 118ft
V= [tex]2\sqrt{5*118}[/tex]
= 2 [tex]\sqrt{590}[/tex]
= 2*24.3
V = 48.6mi/h
Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.
PLS HELP ME?? The blue dot is what value on the number line?
Answer:
-3
Step-by-step explanation:
since it is a gap of 6 the first one gave ...so 3-6=-3
−3x+8<15 please help
Answer:x<-7/3
Step-by-step explanation:
Answer: X > -7/3
Step-by-step explanation:
-3x + 8 < 15
subtract 8 from both sides
-3x < 7
divide by negative 3
Also, when dividing or multiplying by a negative you flip the sign.
x > -7/3
Answer :)
URGENT!! WILL MARK BRAILIEST! GOD BLESS. PLEASE SHOW ALL WORK. The age of Vicky and Krishna total 27 years. In 4 years, Krishna’s age plus twice Vickey’s age will be 43. What are Vickey and Krishna’s ages?
9514 1404 393
Answer:
Vickey is 4Krishna is 23Step-by-step explanation:
Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...
(27 -v +4) +2(v +4) = 43
27 -v +4 +2v +8 = 43 . . . . eliminate parentheses
v +39 = 43 . . . . . . . . . . . . . collect terms
v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides
v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age
27 -v = 23 . . . . . Krishna's age
Vickey's age is 4; Krishna's age is 23.
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
pls help on these two math questions ill give brainlyest to first correct answer
Answer:
#1: Dillon, Harry, Paul, Winston #2: B
Step-by-step explanation:
#1: Absolute value is the opposite of the negative number, so it's just 2, 8, 10, and 13.
#2: Count by 10's, it's on the 50 line
Answer:
1)Dillon, Harry, Paul and Winston
2) C
Can someone explain how to solve this?
Answer:
here you go. hope this helps!
At local parks, bikes can be rented through Clarksville B-Cycle. They charge a $3 fee plus $2 an hour for renting a bike. Ryan's total bill for one day was $15 to rent a bike. How many hours did he have the bike checked out?
Answer:
7
Step-by-step explanation:
There are two polygons. The larger one has three times as many sides as the smaller one.
Its angle sum is four times as big. How many sides does the smaller polygon have?
Answer:
Step-by-step explanation:
There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?
“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.
Its angle sum is four times the smaller one’s. This applies to interior angles.
A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.
A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.
So start at 9.
7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.
18 fits that description.
The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.
18÷6=3, so we have a solution. The smaller polygon can be a hexagon.
We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).
So the 30-gon:
28×180=5040
5040÷4=1260
1260÷180=7
7+2=9
9×3=27
Off by 3.
The 42-gon:
((((((42–2)×180)÷4)÷180)+2)×3)=36
Off by 6. It will keep getting farther away, so we have a unique solution.
What is the image of (7,8) after a reflection over the line y = –x
Answer:
(-7. -8) Just flip the signs.
Answer:
[tex]\boxed {\boxed {\sf (-8,-7)}}[/tex]
Step-by-step explanation:
When a point is reflected over y=-x, the following change occurs:
[tex](x,y)[/tex] ⇒ [tex](-y, -x)[/tex]
We are given the point (7,8).
Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.
1. Change the signs
[tex](7,8)[/tex] ⇒ [tex](-7,-8)[/tex]
2. Flip the x and y coordinates
[tex](-7,-8)[/tex] ⇒ [tex](-8,-7)[/tex]
So the image of (7,8) after a reflection over y=-x is (-8,-7)
what the slope of(12,7) (5,9)
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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]
[tex]slope = \frac{2}{ - 7} \\ [/tex]
[tex]slope = - \frac{2}{7} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
Subtract 7 from 9 9-7=2[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
Subtract 12 from 5 5-12= -7[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
please tell me the answer
Please help meh im so bad at this stuff lol
Answer:
40 Baskets
Step-by-step explanation:
4 baskets = 1/2 hour
? baskets = 5 hours
This means, 8 baskets = 1 hour
8 x 5 = 40
Therefore,
40 baskets = 5 hours
Answer:
40/1 baskets
Step-by-step explanation:
6 to the power 4 simplified
Answer:
1296
Step-by-step explanation:
6x6x6x6
6^4
Answer:
6×6×6×6
Step-by-step explanation:
I hope this helps
If f(x) = 5x - 12, find f(x) when x= - 12
Plz answer
Answer:
-72
Step-by-step explanation:
first replace x with -12 so 5(-12)-12
then simplify which makes it -60-12
finally solve that which gives you -72
hope this helps :)
What is the answer to 4^8/4^3 in 4^n form
Answer:
4^5
Step-by-step explanation:
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[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]
[tex] {4}^{8 - 3} = {4}^{5} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
There are 5 less oranges on the tree today than there was yesterday
Plz help
The no. of apples on the tree today
= The no. of apples on the tree yesterday - 5
Let us take 'the no. of apples on the tree today' as 'x'
and 'the no. of apples on the tree today' as 'y'
Therefore, x = y - 5
Hope this is the thing u are looking for
if I burned 225 calories in 45 minutes how much will I burn in one minute
Answer:
5 calories per minute
Step-by-step explanation:
225÷45=5
Convert 21.3 feet per minute to yards per minute.
Answer:
7.1 yard per min
Step-by-step explanation:
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
Learn more about simplification of an expression here
https://brainly.com/question/13730519
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Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
Answer:
84
Step-by-step explanation:
p^2-r^2= 10^2-(-4)^2
100-16=84
Find the length of side x in simplest radical form with a rational denominator
Answer:
The length of x=3/1
Step-by-step explanation:
Given the right triangle
Ф = 30
We know that
sin Ф = opposite/hypotenuse
The opposite of angle 30° = x
The hypotenuse is = 6
so
sin 30 = opposite/hypotenuse
1/2 = x/6 ∵ sin 30 = 1/2
1/2 × 6 = x
6/2 = x
3/1 = x
Therefore, the length of x=3/1
A rhombus is graphed
on the set of axes below.
Answer:
Step-by-step explanation:
reflection over y-axis
Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.
We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.
A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:
180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.
Therefore, it is a possible transformation that carries the rhombus onto itself.
To learn more on Graph click:
https://brainly.com/question/17267403
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What is the answer I got it wrong
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation:
The vertex of the parabola is (1,6).
Y=x^2- 2x - 5
O True
O False
Answer:
true ig
Step-by-step explanation:
gfsetghdfr
please help i’m so close to being done :(
Answer:39 i dont im 12 ps out
Step-by-step explanation: