To Prove:-
JK=IJ
JK= ½IK = IJ= ½IK
JK= IJ(Equal Distance)
GK//HI (Parallel)
Therefore, JK congruent IJ
Hope This Helps
ABC is a straight line.
The length AB is five times the length BC .
AC =90 cm.
Work out the length AB .
(3 marks)
Answer:
75 cmStep-by-step explanation:
According to segment addition postulate we have:
AC = AB + BCWe are given:
AB = 5 BCThen substitute values into the first equation:
AC = 5 BC + BC90 = 6 BCBC = 90/6 = 15 cmFind the length of AB:
AB = 5*15 cm = 75 cmWhich equation gives the line shown on the graph?
Answer:
[tex]y=\frac{1}{2} x+4[/tex]
Step-by-step explanation:
so the last option
hope this helps!
Solve for x.
Solve for x.
Solve for x.
Solve for x.
Answer:
[tex]x=90[/tex]
Step-by-step explanation:
2x - 10 and x + 80 are parallel lines and equal each other.
[tex]2x-10=x+80\\x-10=80\\x=90[/tex]
Answer:
90
Step-by-step explanation:
i had this question too
Mrs. Wong has placed together 60% of the pieces of a jigsaw puzzle She has placed 570 pieces of the puzzle together How many pieces are there in the whole puzzle? Explain whether or not it is possible to determine how many pleces there are in the whole puzzle using the given information. If so, show the calculations to find the total pieces in the puzzle If not explain why not Type the answer in the response area below
Pls help ASAP
A pet store had thirty-one siamese cats and forty-nine house cats. During a sale they sold
sixty-one cats. How many cats do they have left?
Answer:
19
Step-by-step explanation:
31 + 49 = 80
80 - 61 = 19
A=2a-3b solve for b PLEASE WIKK GIVE BRAINLY
Answer:
[tex]\frac{a}{3} =b[/tex]
Step-by-step explanation:
a = 2a - 3b
→ Minus 2a from both sides
-a = -3b
→ Multiply everything by -1
a = 3b
→ Divide both sides by 3
[tex]\frac{a}{3} =b[/tex]
Answer:
b = 2/3a -1/3A
Step-by-step explanation:
A=2a-3b
Subtract 2a from each side
A-2a=2a-2a-3b
A -2a = -3b
Divide each side by -3
A/-3 -2a/-3 = -3b/-3
-A/3 + 2/3a = b
b = 2/3a -1/3A
Carrie, Maria, and Nayla are friends that live close to one another. Which two friends have the shortest distance between them?
a-Carrie and Maria
b-Maria and Nayla
c-Carrie and Nayla
d-All three live equal distances from each other.
The two friends have the shortest distance between them are Carrie and Nayla.
In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.
The first step is to determine the value of x:
20x + 7) + (5x + 50) + (5x + 3) = 180
Add similar terms togethers
30x + 60 = 180
Combine similar terms
30x = 180 - 60
30x = 120
x = 120 / 30
x = 4
The second step is to determine the value of each angle
Nayla = 20(4) + 7 = 87
Carrie = Second angle = 5(4) + 50 = 70
Maria = Third angle = 180 - (70 + 87) = 23
Nayla and Carrie live closest to each other
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what does cpctc stand for and when would you use it
Answer: Corresponding Parts of Congruent Triangles are Congruent
Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.
Find the perimeter. Simplify your answer.
Answer:
32a-18
Step-by-step explanation:
add together the side lengths:
10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18
Answer:
32a-18
Step-by-step explanation:
you just sum it all together
Can somebody please help me?!! I will give BRAINLIEST!!
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. [Attached]
The coordinates of the y intercept are (0,3).
The coordinate of the y-intercept of the line is (0, 3)
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b.
where:
m is the slope the lineb is the y-interceptGiven the coordinate points (-1, 7) and (1, -1).
Get the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]
Get the y-intercept:
Recall that y = mx + b
Using the coordinate point (1, -1) and m = -4
-1 = -4(1) + b
-1 = -4 + b
b = -1 + 4
b = 3
The equation of the line is y = -4x + 3
Get the y-intercept:The y-intercept occurs at the point where x = 0
y = -4(0) + 3
y = 0 + 3
y = 3
Hence the coordinate of the y-intercept of the line is (0, 3)
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a diver dives from a 10m springboard. the equation f(t)=-4.9t^(2)+4t+10 models her height above the pool in seconds. what is her height at 1.5 second after diving off the springboard
Answer:
4.975 meters
Step-by-step explanation:
[tex]f(1.5)= -4.9(1.5)^2+4(1.5) + 10\\\\f(1.5) = -4.9(2.25) + 6 + 10\\\\f(1.5) = -11.025 + 6 + 10\\\\f(1.5) = -11.025 + 16 \\\\f(1.5) = 4.975[/tex]
4.975 meters
-Chetan K
Solve for x on number 13
Answer:
x = -4
Step-by-step explanation:
x + 63 and x + 125 are same-side interior angles, which mean they add up to 180°
x + 63 + x + 125 = 180°
2x + 188 = 180
2x = -8
x = -4
-Chetan K
Answer:
x=-4
Step-by-step explanation:
(x+125)+(x+63)=180
125+63=188
180-188= -8
-8/2= -4
Given:
A
B
‾
≅
A
C
‾
AB
≅
AC
and
B
E
‾
≅
C
E
‾
.
BE
≅
CE
.
Prove:
∠
B
D
E
≅
∠
C
D
E
∠BDE≅∠CDE.
Answer:
∠ABC ≅ ∠DBE
Step-by-step explanation:
The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The triangle ΔABE is congruent to the triangle ΔACE. Then we have
AB = AC
∠BEA = ∠CEA
BE = CE
In triangles ΔDBE and ΔDCE, then we have
AB = AC (Given)
∠BEA = ∠CEA (Given)
DE = DE (Common sides)
The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.
More about the triangle link is given below.
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please help out for a brainly
show work!!
Answer:
Step-by-step explanation:
y=−5/2x−11 so slope is -5/2
y-intercept means when x is zero, then what is y? the answer is -11. So the y-intercept is (0 , 11)
mark brainliest plz
Can someone please help me?
75 POINTS
Answer:
1. 8
2. 4
3. 5
4. 8/125
5. 4/3
6. 6
7. 8
8. 2
Step-by-step explanation:
This is true believe me I checked each one :)
segment DE is a midsegment of triangle ABC. find the value of x
Answer:
x = 10
Step-by-step explanation:
The value x is 10 units.
What is midsegment?A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments.
Given that, segment DE is a midsegment of triangle ABC.
According to the midpoint theorem, “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
Therefore, DE = 1/2 AB
5 = 1/2x
x = 5×2
x = 10
Hence, the value of x is 10 units.
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spilled $40 into the ratio of 3:7
Answer:
$12/$28
Step-by-step explanation:
Let x and y represent the two amounts of money adding up to $40.
Assume that x is the smaller amount. Then:
x 3
----- = ----- Remembering that x + y = $40, we get x = $40 - y
y 7
amd sp we have
$40 - y 3
-------------- = ------ which, after cross-multiplication, is $280 - $7y = 3y
y 7
Simplifying this, we get $280 = 10 y, so that y must be $28. If y = $28, x must be $40 - $28, or $12.
$12
Then $40, split in the ratio 3/7, is the ratio ----------------
$28
Check: Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.
Which system of equations could be graphed to solve the equation below? log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 x
Answer:
Step-by-step explanation:
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x
Solve. −425=x−114 What is the solution to the equation? Enter your answer as a simplified mixed number in the box. FIRST PERSON TO ANSWER GETS 100 POINTS
Answer:
-311
Step-by-step explanation:
−425 = x − 114
=> x = -425 + 114
=> x = -311
Therefore, -311 is our answer.
Hoped this helped.
What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?
−4
−3
−2
Answer:
-3
Step-by-step explanation:
Solution of the equation is y = -3.
What is the solution of the equation?
A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.
Given expression (3/4)y+1/4= 1+y.
simplify each term,
(3/4)y + 1/4 = 1+y
Move all terms not containing y to the right side of the equation,
(3/4)y - y = 1-1/4
(-1/4)y = 3/4
Since both side of the expression has the same denominator, the numerators must be equal.
y = -3
Solution of the equation is y = -3.
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help asap for brainlist
Given g(x)=−6x+3, find g(−4). To earn full credit, show your work using a method explained in the Orientation.
Answer:
g(-4) = 24 + 3 = 27
Step-by-step explanation:
We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:
g(-4) = -6(-4) + 3, or
g(-4) = 24 + 3 = 27
Answer:
27
Step-by-step explanation:
substitute -4 for x
-6(-4) + 3
24 + 3
27
hope it helps :)
mark brainliest!!
Nadia is a stockbroker. She earns 11% commission each week. Last week, she sold $5300 worth of stocks. How much did she make last week in commission? If averages that same amount each week, how much did she make in commission in 2011?
pls answer fast, 25 points to earn
Answer:
a. $ 583
b. $ 30,316
Step-by-step explanation:
a). 0.11 * 5,300= $ 583 per week( commission )
b). In 2011, 52 weeks.
52* 583 =$ 30,316
PLS HELP FOR BRAINLIST :D
Answer:
The third answer is the correct one.
Х
у
10
-4
2
1
6
-5 help pls
Step-by-step explanation: 10 / х - 4 = 2 ; 6 - 5у = - 4, 5 ; 2у + 1 / 3 = 5 ; 6, 2 / 3у + 1 = 2.
You and 2 friends have a job cleaning houses. You split the total money you make so
that you each get the same amount. On the first day, you earn $93. The second day,
you earn $75. The third day, you earn $108. How much money do you each get for :
days of work?
Answer:
92 dollars each luv:)
Step-by-step explanation:
Given that the line is x/3 + y/2 =1
i ) make y the subject
ii ) gradient of line
Answer:
see explanation
Step-by-step explanation:
(i)
[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 6 to clear the fractions )
2x + 3y = 6 ( subtract 2x from both sides )
3y = - 2x + 6 ( divide through by 3 )
y = - [tex]\frac{2}{3}[/tex] x + 2
(ii)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope ( gradient ) and c the y- intercept )
y = - [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form ( that is part (i)
with gradient m = - [tex]\frac{2}{3}[/tex]
.1.3 Jennie has $200 and she spends $30. What percent of her
money is spent?
zoo
A) 15%
B) 30%
30
C) 66%
D) 85%
Answer:
A
Step-by-step explanation:
To change a fraction to a percentage, multiply by 100%
[tex]\frac{30}{200}[/tex] × 100%
= 0.15 × 100%
= 15% → A
ANSWER CORRECT FOR BRAINLIEST
Answer:
3 2 /5 ×3
change 3 2 /5 into an improper fraction
then you will get 17 /5
after that you say 17/5 ×3/1
=(17×3)/ (5x1)
=51/5 (51÷5)
=10.2/ 10 1/5
[tex]3 \frac{2}{5} \times 3 \\ = \frac{17}{5} \times 3 \\ = \frac{51}{5} \\ = 10 \frac{1}{5} [/tex]
Answer:[tex]10 \frac{1}{5} [/tex]
Hope it helps.
Do comment if you have any query.
A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?
Answer:
$756
Step-by-step explanation:
To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so
63%=.63
.63 x 1200
A sector of a circle is shown below. Construct a line that represents all points equidistant from MN and MP. Would a reflection across this line map the figure onto itself? Why or why not?
A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.
The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.
The steps required to construct the line are:
Using N as the center and any radius, describe an arc beyond arc NPPlace the compass at P as the center and the same radius, describe another arc to intersect the previous arc.Draw a line through the point of intersection to M. This is the required angle bisector.ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.
The construction to this question is attached to this answer for more clarifications.
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