So the value of x is 10
Given that line GI bisects angle DGH so that the measurement of angle DGI is x-3 and the measurement of angle IGH is 2x-13.
Since GI bisects that means the angle is cut into 2 equal angles or
DGI = IGH
Bisect means to cut into two even halves. If you bisect a 90 degree angle you create two 45 degree angles,
So by bisection
x - 3 = 2x - 13
Solving for x
13 - 3 = 2x - x
10 = x
or
x = 10
Therefore the value of x is 10.
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20882
In ∆ABC, ∠A is a right angle, and ∠B measures less than 40°. Which of the following phrases best describes the measure of ∠C?
The phrase that describes the measure of ∠C is greater than 50°.
What is a right triangle?A right triangle is a triangle that has one of its angle as 90 degrees.
The triangle is named as ABC.
∆ABC
where
∠A = 90 degrees
∠B < 40 degrees
The sum angles in a triangle is 180 degrees.
Therefore,
let x be the third angle
Hence,
∠A + ∠B + ∠C = 180°
∠B + ∠C = 180 - 90
∠B + ∠C = 90°
∠B < 40 degrees
Therefore,
∠C > 50 degrees.
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The 6 students
10,8,14,7,13,12. Find the mean and median round to the nearest tenth
Answer:
median is 10 or 12 and the mean is 10.6
Step-by-step explanation:
7, 8, 10, 12, 13, 14
42. The Good Food n' More grocery store loses an average of $210 a day due to breakage, shoplifting, and food
expiration. How much money does the store lose on average per 7-day week?
URGENT! PLEASE HELP
The Greenland ice sheet contains about 3 million cubic kilometers of ice. If completely melted, this ice would release about 2.1 million cubic kilometers of water, which would spread out over Earth's approximate million square kilometers of ocean surface. How much would the sea level rise?
Answer:
Answer: 0.005523 kilometer = 5.52 meter In this case, you are asked how much the water height and given the water volume ( 1.9 million cubic kilometers) and the earth area (344milion square kilometers). To answer this question you just need to divide the volume with the area.
Simplify:
5x - 6x- 8x + 7
Answer:
-9x+7
Step-by-step explanation:
3(5x + 2) = -5(3x - 5) + 3x
Answer:
x=19/27
Step-by-step explanation:
[tex]3(5x+2)=-5(3x-5)+3x\\15x+6=-15x+25+3x\\15x+6=-12x+25\\27x=19\\x= 19/27[/tex]
Hope this helps plz hit the crown :D
[tex]3(5x+2)=-5(3x-5)+3x[/tex]
Distribute 3 in 5x+2 and -5 in 3x-5
[tex]15x+6=-15x+25+3x[/tex]
Multiplying 2 negatives will be positive (Same goes to dividing 2 negatives.)
[tex]15x+15x-3x=25-6[/tex]
Move the x term to the same side and constant term to the same side.
(Whenever you move to another side, change the sign/operator to opposite. From plus to minus and from multiply to divide.)
[tex]27x=19\\x=\frac{19}{27}[/tex]
Thus, the answer is 19/27
a hostel gets rs 5000000 net profit in a year .the hostel distributes rs 50000 to each workers equally .find the total amount of bonus received by 55 workers
Answer:
pls state the question in another state
Step-by-step explanation:
okay
I need help on this question right now
Answer:
96 degrees
Step-by-step explanation:
a
Angela has $2,200 to invest at a simple interest rate of 4.5%. If she wants to earn $297 in interest, how long does she have to invest her money?
Answer:
I will not give you an answer, but I will give you how too get the equation started.
Step-by-step explanation:
set up an equation using:
x= amount invested at 3%
7800 - x = amount invested at 12%
.03(x) + .12(7800 - x) = 504
.03x +936 - .12x = 504
-.09x = -432
x = 4800
Kenise will begin college as a freshman next fall and has received a 10-year $5,500 Federal Direct Unsubsidized Loan with an interest rate of 6.8%. She will be required to begin making payments six months after graduation. How much interest will accrue while she is still in school and over the six-month grace period?
Answer:
The interest accumulated will be $3,927
Step-by-step explanation:
Mathematically;
Simple interest = PRT/100
From the question, we have P as the amount borrowed = $5,500
R is the interest rate = 6.8%
T is the time which is 10 years + 6 months = 10 1/2 years
The interest accrued will thus be;
(5,500 * 6.8 * 10.5)/100 = $3,927
A bin in the gym holds 40 balls, which are a mix of
basketballs, soccer balls, and dodgeballs. The ratio
of basketballs to soccer balls is 3:1. The ratio of
soccer balls to dodgeballs is 1:4. How many basket-
balls are in the bin?
A ratio in mathematics demonstrates how many times one number is present in another.
Find the solution ?A ratio in mathematics demonstrates how many times one number is present in another.For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
15 basketballs
3:1:4= 8
40/8= 5
3*5=15
1*5=5
4*5=20
15:5:20
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Help please, please only answer if you know, 20 points.
Answer:
Slope=8
Step-by-step explanation:
f(x) = -x2
Find f(-5)
Answer:
f(-5) = -25
Step-by-step explanation:
f(-5) = -(-5)^2
f(-5) = -25
hope this helps, pls mark brainliest :D
Review the diagram.
Awagon is being pulled by a force of 15 pounds. How
much work is done in moving the wagon 50 feet if the
handle makes an angle of 40° with the ground?
O 11.49 foot-pounds
O 38.30 foot-pounds
O 574.53 foot-pounds
O 750.00 foot-pounds
Answer:
C) 574.53 foot-pounds
Step-by-step explanation:
got it right on edge :)
Awagon is being pulled by a force of 15 pounds. the required work done is 574.53 to pull the wagon So, Option C) is correct work done = 574.53.
What is work done?The work done is product of force and cosine of displacement.
Given; Awagon is being pulled by a force of 15 pounds. We need to find How much work is done in moving the wagon 50 feet if the handle makes an angle of 40° with the ground.
Force = 15 pounds
distance = 50 feet
Ф = 40°
We can calculate the work done as;
work done = force x displacement x cosФ
work done = 15 x 50 x cos40
work done = 15 x 50 x 0.76
work done = 574.53
Therefore, the required work done is 574.53 to pull the wagon.
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.
The model represents an equation.
what is the solution for this equation?
a x=3
b x=15
c x=5
d x=1
Answer:
D. x=1
Step-by-step explanation:
Image can be rewritten as 3x + 6 = 9.
Solve for x.
3x +6 = 9
Isolate x by subtracting 6 from both sides.
3x = 3
Get rid of the 3 by dividing by 3 on both sides.
x = 1
Hope this helped.
Are the two triangles congruent?
Choose 1 answer:
A. Yes
B. No
C. There is not enough information to say.
Answer:
The shown triangles have the same angles 96° and 61°, and the same length 6.
Thus, the two triangles are congruent.
Step-by-step explanation:
We know that two triangles would be termed as congruent If:
Their corresponding sides have equal lengthTheir corresponding angles have equal measureThe orientation of a congruent triangle can be different.
Consider the two triangles shown.
Though their orientation is different, both triangles have the same angles 96° and 61°, and the same length 6.
Therefore, the two triangles are congruent.
Answer:
Yes
Step-by-step explanation:
It’s right on khan academy
John and his family went out to eat. Their total
bill was $65 but they used a 10% coupon. How
much did John and his family spend at the
restaurant?
Answer:
$58.5
Step-by-step explanation:
plz mark as brainliest
PLEASE HELP! ILL GIVE BRAINLIEST!
Answer:
-5
Step-by-step explanation:
I think it is -5 as I used y=Mx+C where it is the intercept
PLEASE HELP AGAIN DUE TONIGHT WILL GIVE BRAINLIST!!!
Answer:
B. -3,072
Step-by-step explanation:
- 7x > 24
solve this guys it's too urgent
Answer:
x> 24/_7
x>_3.43
..............
b. Which is an equation for the line? *
Answer:can see the line
Step-by-step explanation:
if it is linear it is =Ax+By=C
Given a mean of 80 and a standard deviation of 3, label the normal curve below.
Answer:
The points from the left;
71, 74 , 77, 80, 83, 86 , 89
Step-by-step explanation:
Here, we want to label the normal curve given the mean and the standard deviation
From what we have, the central part is the mean while the other parts are deviations from the mean
We will label the graph starting from the left to the right
1 is 3 SD from the mean (negatively)
That will be 80-3(3) = 80-9 = 71
2 is 2 SD away
That will be;
80 -2(3) = 80-6 = 74
The 3rd part is 1 SD away
That will be 80-3 = 77
The midpoint is for the mean which is 80
The point after this will be;
80 + 3 = 83
The point after this will be;
83 + 3 = 86
Next is
86 + 3 = 89
please help lol !!! :)
Answer:
C
Step-by-step explanation:
Find CD if C(0, 3) and D(4.7).
20 or 40 points-
I need help on question 17 not 15 or 16 only 17
Answer:
9.5 hours
Step-by-step explanation:
(Geometry)
Find the value of X
Show work
What is the measure of angle x? (1 point)
1) 25 degrees
2) 40 degrees
3) 55 degrees
4) 105 degrees
Answer:
x=55degree because x+25=80 so x=55
Answer:
55°
Step-by-step explanation:
This is because that angle is 80° but is split into two and 80-25=55
what is the answer to -2(x+3)
Answer:
-2x-6
Step-by-step explanation:
-2(x+3) =
According to the distributive property:
(-2*x) + (-2*3) =
-2x - 6
THIS IS URGENT PLS!!!
Answer:
b i believe
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
y is slowly decreasing in both of them
4/-2 simplified
For math not sure how to do it
Answer:
the answer is just -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
U would divide 4 by -2