Answers
Answer:
x = 12
Step-by-step explanation:
Angle Bisector Theorem: PS / PQ = RS / QR
24/14 = x/7
cross-multiply:
14x = 168
x = 12
Related Questions
Can i get some help :
Answers
dang this looks so confuseing
someone who is good a math please answer this today asap will give brainliest
The length of a rectangle is 4 more than its width. The perimeter is 40 feet.
What are the length and width of the rectangle?
Hint: The perimeter of a rectangle is given by the formula P = 2l + 2w.
The width is 8 ft and the length is 12 ft.
The width is 13 ft and the length is 7 ft.
The width is 7 ft and the length is 13 ft.
The width is 12 ft and the length is 8 ft.
Answers
Answer:
the Answer is C
Step-by-step explanation:
We are given –
The perimeter is 40 feet and the length of a rectangle is 4 more than its width. Let the length be " l " and the width be " w ".As we know that –
Rectangle is a four sided polygonal figure, i.e, a quadrilateral, in which the opposite sides are of equal length and are parallel. Also its diagonals bisects each other.[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]
Perimeter = 2 (l + w) unitsArea = lb sq.unitsAccording to the question –
Width = w feet Length = w+4 feet[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]
Width of perimeter is = 8 feetSubstituting the value of w–
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]
[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]
Henceforth, The width is 8 ft and the length is 12 ft.__________________________________________
Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?
Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q
Answers
Answer:
Point R is at (−40, −30), a distance of 60 units from point Q
Step-by-step explanation:
Correct option is ,
Point R is at (-40, 30) , a distance of 60 units from Point Q.
hope this answer helps you dear take care!
The lines represented by the equations y=-2x-6 and 2y+x=-16 are
Answers
Answer:
Is that the entire question? I want to help but I don't see a full question it looks like half of one
Determine whether the lines 3x+2y=6 and 4y=-6x-12 are parallel, intersect, or coincide
Answers
Answer:
parallel
Step-by-step explanation:
3x + 2y = 6 can be written as y = -3/2x +3
4y = -6x -12 can be written as y= -3/2x-3
same slope different y intercept so parallel
What are the vertices of PQR?
Answers
Answer:
D
Step-by-step explanation:
i may be wrong. if i am, sorry. but a vertice is basically just a point.
The vertices of the given triangle PQR are P, Q and R. Therefore, the correct answer is option D.
A vertex (plural vertices) in geometry is the intersection of two straight lines. Three line segments come together to form a triangle. The ends of a triangle's three sides meet at three separate points in a plane to form the triangle, which has three sides with two endpoints each. The vertices of a triangle are the three distinct intersecting points or corners.
Vertices of the triangle are represented by letters.
In triangle PQR, vertices are P, Q and R.
Therefore, the correct answer is option D.
Learn more about the triangle here:
brainly.com/question/2773823.
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4.5% of it is 23% of 45
Answers
Answer:
230
Step-by-step explanation:
23% of 45 = 10.35
10.35 / 4.5 = 2.3
2.3 x 100 = 230
Step-by-step explanation:
it will be equal 230 as in the shown photo
Mir. White has a beach lot that is 60 feet wide.
What is the width of his lot in yards?
Answers
Answer:
20 Yards
Step-by-step explanation:
3 feet = 1 yard
60 / 3 = x yards
20 yards
1. When is it best to solve a system of equations using graphing?
2. When is it best to solve a system of equations using substitution?
3. When it is best to solve a system of equations using elimination? When it is
Answers
1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.
2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.
3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.
What is the domain and range of this? Is it a function yes or no?
Answers
Yes it is a function
You know when it’s a function when the left side (x/domain) does not repeat itself (Y/range) is allowed to repeat
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax^2 + bx + c, is shown.
Step 1: –c = ax^2 + bx
Which best explains or justifies Step 1?
subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication
Answers
Answer:
Subtraction property of equality
Step-by-step explanation:
You subtracted c from both sides of the equation to preserve equality
The step 1 is explained by subtraction property of equality.
The correct option is A.
The standard form of Quadratic Equation is
ax² + bx + c = 0
Also, we must remove c from the right side and move it to the left side in order to derive the quadratic formula from the quadratic equation.
And to do that, we must subtract c from both sides, which is
-c = ax² + bx
Then, we have used subtraction property here.
Learn more about Subtraction here:
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Find the percent change from the first value to the second. Tell if it a decrease or
increase.
36: 63______;_______
Answers
Increase by 28
The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza? Use π = 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
Box
Area of the box
Area = s^2
s = 12 inches
Area = 12^2
Area = 144
Pizza
Area = pi r^2
Area = 3.14 * 5^2
Area = 25 * 3.14
Area = 78.5
Difference = 144 - 78.5
Difference = 65.5
Find the slope of the line containing the points (3,2) and (6,9).
Answers
Answer:
7/3
Step-by-step explanation:
System practice problems
Answers
Looking at the first system of equations,
16x - 10y = 10
-8x - 6y = 6
If we multiply both sides of the second equation by 2, the coefficient of x is exactly the negative of the coefficient of x in the first equation.
-8x - 6y = 6
⇒ 2 (-8x - 6y) = 2 (6)
⇒ -16x - 12y = 12
By combining this new equation with the first one, we can eliminate x and solve for y :
(16x - 10y) + (-16x - 12y) = 10 + 12
⇒ -22y = 22
⇒ y = -1
Then we just solve for x by replacing y in either equation.
16x - 10y = 10
⇒ 16x - 10 (-1) = 10
⇒ 16x + 10 = 10
⇒ 16x = 0
⇒ x = 0
The main idea behind elimination is combining the given equations in just the right amount so that one of the variables disappears. The "right amount" involves using the LCM of the coefficients of a given variable. In this example, the x-coefficients had LCM(8, 16) = 16, so we only had to scale one of the equations (the one with -8x) to cancel all the x terms.
If we wanted to eliminate y first instead, we first note that LCM(6, 10) = 30. To get 30 as a coefficient on y, in the first equation we would have multiplied by 3:
16x - 10y = 10
⇒ 3 (16x - 10y) = 3 (10)
⇒ 48x - 30y = 30
And in the second equation, we would have multiplied by -5 (negative so that upon combining the equations, we end up with -30y + 30y = 0):
-8x - 6y = 6
⇒ -5 (-8x - 6y) = -5 (6)
⇒ 40x + 30y = -30
Now combining the two scaled equations gives
(48x - 30y) + (40x + 30y) = 30 + (-30)
⇒ 88x = 0
⇒ x = 0
We then solve for y :
16x - 10y = 10
⇒ -10y = 10
⇒ y = -1
so we end up with the same solution as before.
What is the equation of the line that passes through the point (5, 6) and has a slope
of 2
Answers
Answer:
y = 2x - 4
Step-by-step explanation:
Given:
x1 = 5
y1 = 6
slope (m) = 2
Solution:
y - y1 = m ( x - x1 )
y - 6 = 2 ( x - 5 )
y - 6 = 2x - 10
y = 2x - 10 + 6
y = 2x - 4
Help! Help! HELP!!
Find the value for x
Answers
Answer:
21
Step-by-step explanation:
5(21)-12=93
3(21)+30=93
I need help with the answer to this question.
9 - 3 divided by 1/3 + 1 = ?
Will give the ranking thing to best explanation.
(sry I don’t know the name of what the ranking is called)
Answers
19
Explanation:
9-3=6
(Check your work)
3+6=9
__________________________________
6÷1/3=18
(Check your work)
(6×3=18)
__________________________________
18+1=19
Therefore,
the answer is 19!
Simplify the expression. Write your answer as a power. 7^5•7^3/7^2
Answers
[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]
help ASAP please hmmmm
Answers
Answer:
I’d go with number 2 and number 4.
What is -2×-4 in mathematics
Answers
Answer:
8
Step-by-step explanation:
negative times a negative equals a positive
Mathew grew a sunflower that was 1 7/8 meters tall. She cut 3/4meters off the height. How much of the steam is left?
Answers
PLZ HELP! 50 PTS PER PERSON
11 less than 3 times a number is the same as 75 less than the product of -1 and the number.
Answers
Answer:
No solution
Step-by-step explanation:
Create an equation with the values given. Solve like an algebraic question.
11 > 3*x = 75> -1*x
3*x and -1*x should lead to a value greater than 11.
Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.
No solution.
Find the x and y-intercepts of y= 2/5x-12
Answers
then find points when going 2 up on the y and 5 over right on the x axis
The length of a rectangle has a measure of x and the width of a rectangle has a measure of (x-2). Find x if the area is 35.
Answers
Answer:
length = 7
pls mark me the brainliest
Step-by-step explanation:
A = Lw
35 = x (x -2)
35 = x2 - 2x
x2 -2x -35 = 0
(x-7)(x+5) = 0
x-7=0
x=7 (we won't use the other factor since it would give us a negative length
so length = 7
Anna is working two summer jobs, making $18 per hour lifeguarding and making $11 per hour clearing tables. In a given week, she can work a maximum of 14 total hours and must earn at least $210. If Anna worked 12 hours clearing tables, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.
Answers
Answer: She would make $132 a day by cleaning tables for 12 hours and getting 11 per hour. She would have to get rid of 1 hour and 90 minutes of lifeguarding to get the same pay.
Step-by-step explanation:
Anna and Sam each want to run for president of their school's student body council. In order
to do so, they must collect a certain number of signatures and get a nomination. So far, Anna
has 20 signatures, and Sam has 25. Anna is collecting signatures at an average rate of 6 per
day, whereas Sam is averaging 5 signatures every day. Assuming that their rate of collection
stays the same, eventually the two will have collected the same number of signatures. How
long will that take?
Time
elapsed
Write a system of equations, graph them, and type the solution.
Answers
Answer:
6x+20=5x+25
5 days
Step-by-step explanation:
Let x = the days that they have the same amount of signatures
We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.
We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.
Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.
Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures
Hope this made sense :D
PLEASE HELP!!! Can someone help me figure this out
Answers
Answer:
Step-by-step explanation:
x^2 = 5x + 24 Transfer (subtract) 5x + 24 to the left.
x^2 - 5x - 24 = 5x-5x+24 -24
x^2 - 5x - 24 = 0 This does factor. -8 and 3 are your factors.
(x - 8)*(x + 3) = 0
So if x - 8 = 0
then x - 8 + 8 = 0 + 8
x = 8
If x + 3 = 0
then x = - 3
Are these both correct?
x^2 = 5x + 24
x = 8
8^2 = 5*8 + 24
64 = 40 + 24
64 = 64
and x - 8 is a factor
x^2 = 5x + 24
x = - 3
(-3)^2 = 5 * -3 + 24
9 = -15 + 24
9 = 9
And x + 3 is a correct factor
If 2 caterpillars eat 6 leaves each day, how many leaves do 12 caterpillars need each day?
Answers
2 caterpillars = 6 leaves
We’ve been told to work out how many leaves 12 caterpillars eat each day.
So we can fill in our extra information…
2 caterpillars = 6 leaves
12 caterpillars = x leaves
From 2 to 12, we have multiplied by 6. What we do to one side, we must do to the other. Therefore, 6 x 6 = 36 leaves.
So for 12 caterpillars, they eat 36 leaves each day.
Answer:
72 Leafs
Step-by-step explanation:
If all three angles of a triangle are congruent, what is each angle measure?
Answers
Answer:
60°
Step-by-step explanation:
180° in a triangle.
180° ÷ 3 = 60°
The measure of each of the given angles of a triangle is 60°.
What are congruent triangles?If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.Given is that all three angles of a triangle are congruent.
Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -
∠A = ∠B = ∠C = X°
and also we can write -
X° + X° + X° = 180°
3X° = 180°
X° = 60°
Therefore, the measure of each of the given angles of a triangle is 60°.
To solve more questions on congruent triangles, visit the link below -
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