See attachment for math work and answer.
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The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B
Answer:
[tex]\overline{GB}[/tex] = 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;
[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property
∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency
∴ [tex]\overline{GB}[/tex] = 9.
Factor completely: 125 x cubed space plus space 343
Answer:
(5x+7)(25x^2-35x+49)
Step-by-step explanation:
Not really an explanation for factoring, but I'm sure it's right.
what are the x and y intercepts of the function f(x)=x/x^2-3x
Answer:x and x2
Step-by-step explanation:
Look at picture please !! I really need help thank you !
Answer:
h (1,2), w (3,4), y (6,0)
Step-by-step explanation:
Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign
The plans for a new street show lamp post that are 2.5 inches apart. If the plans use a scale of 0.5 inch = 9 yards, find the actual distance between the lamp posts.
Answer: 45 yards
Step-by-step explanation:
From the question, we are given the information that the plans for a new street show lamp post that are 2.5 inches apart and that the plans use a scale of 0.5 inch = 9 yards,
Since a scale of 0.5 inch = 9 yards is used, the actual distance between the lamp posts will be:
= (2.5inches / 0.5 inches) × 9 yards
= 5 × 9 yards
= 45 yards
Write 33 x V3
as a
single power of 3.
Answer:
555555
Step-by-step explanation:
Calculator
Given j | k and mZ1 = 40".
8/1
What is mZ6?
7/2
k
Enter your answer in the box.
63
54
mZ6 =
Answer:
65 oop
Step-by-step explanation: o0iiutdgc vhy
two common multiples of 4 and 8 are
Answer:
8, 16
Step-by-step explanation:
What is the answer to this I need help ASAP lol thanks :)
Answer:
you can count by groups of 9 and there would be 4 groups
9 + 9 + 9 +9 = 36 and 36/9 = 4
-4y - 20 +19= -y + 17
2. Solve for y
i posted the same question but they didn’t tell me how they got it so could someone show me how they got the answer pleaseee
Answer:
y= -6
Step-by-step explanation:
-4y - 20 + 19 = -y + 17 *add y on the right to get rid of -y
+y +y then add it to -4y
-3y - 20 + 19 = 17 *add 20 to the left to get rid of -20
+20 +20 then add it to 17
-3y + 19 = 37 *subtract 19 from the left to get rid of 19
-19 -19 then subtrcat 19 from 37 as well
-3y = 18 *now we want to divide both sides by -3 to
-3 -3 get y by it's self
y = -6 *no we're left with y = -6 :D
- im sorry if this doesn't make sense x(
Rewrite the product as a power:
[tex](-a)^{3} b^{3}[/tex]
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[tex] { - a}^{3} . {b}^{3} = ( { - a \times b})^{3} = ( { - ab})^{3} \\ [/tex]
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ASAP When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?
A) -0.8x+4.8y+16
B) 0.8x-4.8y+16
C) -0.8x-4.8y+4
D) 0.8x+4.8y+4
Answer:
The answer is A.
Step-by-step explanation:
4(0.5x+2.5y-0.7x-1.3y+4)
2x+10y+-2.8x+-5.2y+16
2x-2.8x+10y-5.2y+16
= -0.8x+4.8y+16
Thomas has a bag with 6 purple and 5 blue marbles. If his friend Nick pulls 2 marbles from the bag, what is the probability of him getting 2 purple marbles. 30/121 30/121 21/22 21/22 3/11 3/11 11/21
Answer: 3/11
Step-by-step explanation:
Number of purple marbles = 6
Number of blue marbles = 5
Total number of marbles = 6 + 5 = 11
The probability of picking the dust purple marble will be 6/11. After a purple marvel has been picked, there'll be 5 purple marbles left and the total number of marbles will be 10, therefore the probability of picking the second purple marble will be 5/10.
Therefore we then multiply the probability of picking the first purple marble by the probability of picking the second purple marble. This will be:
= 6/11 × 5/10
= 6/11 × 1/2
= 3/11
Find the value of X
7/x-10 = 3/6
Answer:
2/3
Step-by-step explanation:
7/x -10 = 3/6
7/x =3/6 +10
7/x = 63/6
42 = 63x
x = 42/63 or 2/3
Answer:
2/3
Step-by-step explanation:
if triangle GHI is equilateral and JHK is isosceles, what is the measure of JHK
Answer:
The measure of JHK is 25 degrees
Step-by-step explanation:
If GHI is equilateral, it means each of the angles are equal to 60 degrees
Thus;
7x - 31 = 60
7x = 60 + 31
7x = 91
x = 91/7
x = 13 degrees
The measure of JHK IS x + 12
simply insert the value of x here
Angle JHK = 13 + 12
Angle JHK is 25 degrees
Answer: 25
Step-by-step explanation:
Please answer!!! Will mark brainiest!!
Answer:
I think it is D. 9/15 * 14/20
9514 1404 393
Answer:
C. 3/10 * 2/5
Step-by-step explanation:
3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.
2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.
The area of overlap is 6 of the 50 small boxes, so represents the product ...
3/10 * 2/5 = 6/50
A coach travels to the beach which is 576 KM away in 6 hours. If he is only allowed to travel at a maximum speed of 90 kph, did the coach break the speed limit? What was his average speed?
Answer:
Yes
Step-by-step explanation:
576Km:6Hrs
576 divided by 6=96 km
6 divided by 6=1
96km:1hr
96 was the coaches speed limit
km=Kilometers
Hrs=Hours
96>90
yes , the coach break the speed limit and the average speed is 96 km ph
What is Speed?Speed is the time rate at which an object is moving along a path
Given,
A coach travels to the beach which is 576 KM away in 6 hours.
The maximum speed he can travel is speed of 90 kph
We need to check whether the coach breaks the speed limit or not.
Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.
and the average speed he has to maintain is 576/6
96kmph
Hence, yes the coach break the speed limit and the average speed is 96 km ph
To learn more on Speed click:
https://brainly.com/question/28224010
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Write the definition of "Absolute Value” in your own words.
A number's absolute value means the distance from 0. -6 is 6 units away from 0 units. The absolute value of -6, then, is 6. There's no negative distance you can have, so it has to be positive.
Answer:
a real number without regard to its sign.
Calculate 8/9-2/3 giving your answer in its simplest form.
Answer:
(8/9) - (2/3) = (8-6)/9 = 2/9 = 0.22
See attachment for math work and answer.
Parents getting divorced please help and you'll get the brainlliest
Answer:
C
Step-by-step explanation:
I hope this helps!! Feel better
Help will mark Brainliest
Answer:
Step-by-step explanation:
x = (20 + 12)/2
x = 32/2
x = 16
Answer:
17
Step-by-step explanation:
the polygons in each pair are similiar. help find the missing side length???
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].
Saul and Raul had a bag of marbles. Raul selected 7 / 12 of the
marbles. Saul selected 3/12 of the marbles. What fraction of the marbles
did the boys select?
Answer:
The answer is 5/6
Step-by-step explanation:
7/12 + 3/12 = 10/12
10/12 = 5/6 ( divide the numerator and denominator by 2)
3 +5.2.c = 1 - 2.87
Answer:
-0.0936538462
Step-by-step explanation:
Start by solving the right side of the equation
1 - 2.87 = -1.87
now we have:
3 + 5.2c = -1.87
subtract 3 from both sides to get:
5.2c = -4.87
divide both sides by 5.2 to get:
-0.0936538462
hope that's what you're looking for! :)
Water pours into a tank over a 10-minute period. The función f(x) graphed below models the flow rate, in gallon per minute (GPM) Over which of the following intervals does the flow rate increases by the greatest amount?
Answer:
X=0 to x =1
Step-by-step explanation:
Twice a number n decreased by seven (ez points for ez question so answer )
help me plzzzz and fast
Answer:
A D
Step-by-step explanation:
Since it is a one time fee of 55$, that will be our y intercept.
That allows A and D and F possible answers.
It says 10$ per puzzle and they spent 1245$
So A and D are answers.
What are the excluded values of x for
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!