Can someone please help me with Geometry?
Answers
EF bisects m<EDG (given)
#1
so m<DEF = m<FEG = 88/2 = 44
#2.
if m<FED = 27 then m<GED = 27 * 2 = 54
#3
m<DEF = 3x + 1
m<DEG = 5x + 19
2*( 3x + 1) = 5x + 19
6x + 2 = 5x + 19
6x -5x = 19 - 2
x = 17
#4
m<DEF = 5x - 3
m<FEG =2x + 15
5x -3 = 2x + 15
5x -2x = 15 + 3
3x = 18
x = 18/3
x = 6
#5.
m<FEG = 6x - 7
m<FED = 2x + 41
6x - 7 = 2x + 41
6x - 2x = 41 + 7
4x = 48
x = 48/4
x = 12
m<DEG = 6x - 7 + 2x + 41
=6(12) - 7 + 2(12) + 41
= 72 - 7 + 24 + 41
=130
#6
m<ABX = m<XBC
5x = 3x +10
5x - 3x = 10
2x = 10
x = 5
m<ABC = m<ABX + m<XBC
= 5x + 3x +10
= 8x + 10
= 8(5) +10
= 40 +1
= 50
#7
m<ABC = 2 * (m<ABX)
4x -12 = 2(24)
4x- 12 = 48
4x = 48 + 12
4x = 60
x = 60/4
x = 15
#8
m<ABC = 2 (m<CBX)
4x+16 = 2(3x+6)
4x+16=6x +12
6x - 4x = 16 -12
2x = 4
x = 2
#9
m<ABC = 3 (m<CBX)
5x+18 = 2(2x+12)
5x+18=4x+24
5x-4x=24-18
x =6
m<ABC = 5x+18 = 5(6) +18 = 30 + 18 = 48
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consider a job that pays $100,000 per year federal income taxes 19% and state income tax is 7% what is the annual total of the required deductions of federal and state income tax
The focus of a parabola is (3,-7) and the directrix is y = -4.What is an equation of the parabola?
b) X2 + 4x + 16
c) X2 + 8x + 16
d) X2 + 4x + 8
Answers
Answer:
B.
Step-by-step explanation:
sana makatulong sayo
Answers
Answer:
x = 57
Step-by-step explanation:
Median is the number that is halfway mark. If we are given a data, first we need to arrange them in ascending order and take the middle value. That is called median.
If we have odd number of data, we can easily find the middle value.
For instance, 1, 2, 3, 4, 5 here the number of data = 5 which is odd number.
The middle number is 3.
Therefore, median is 3.
If we have even number of data, we have to take middle two values, add them then divide by 2.
In this case, we are given even number of data
30, 45, x, 100
4 data which is even number of data.
Median is given as 51, we need to find the value of x.
The middle two numbers are 45 and x, we have to add them and divide by 2
Median = [Given: median = 51]
51 =
Multiplying both sides by 2, we get
51*2 = 45 + x
102 = 45 + x
Subtract 45 in both sides, we get
102 - 45 = 45 -45 + x
x = 102 -45
x = 57
In this case, the values are "45" and "x". If we pretend that we know the value of the variable "x" (for example we will pretend that x is 55), then we should have an equation that looks like this: (45+55) ÷ 2 = [median]. What this equation is doing is adding the two closest values to the median (45 and 55) and dividing it by 2, the number of values we are averaging. Now we can solve this equation and simplify it to 100 ÷ 2 which is 50, our median.
So if they give us the median instead of the x value, then we can rewrite the equation to fit your request: (45+x) ÷ 2 = 51. Now we can solve for x:
1. Multiply by 2
(45+x) = 102
2. Subtract 45
x = 57
The x value for your question is 57.
Answers
m = y2 - y1 / x2-x1
m = 6 - 1 / -5-1
m = 5/-6
m = -5/6
Now, Take first coordinate: y - 6 = -5/6 (x + 5)
Second coordinate: y - 1 = -5/6 (x - 1)
In short, Your Answers would be Option A & E
Hope this helps!
y = 55x + 32
Car B
y = 42x + 58
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
2 hours, 142 miles
2 hours, 145 miles
3 hours, 142 miles
3 hours, 145 miles
Answers
Answer:
Option A is correct
2 hours, 142 miles
Step-by-step explanation:
As per the statement:
The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:
Car A
y = 55x + 32 ....[1]
Car B
y = 42x + 58 ....[2]
We have to find after how many hours will the two cars be at the same distance from their starting point.
Since, two cars be at the same distance
equate [1] and [2] ;
⇒
Subtract 42x from both sides we have;
⇒
Subtract 32 from both sides we have;
Divide both sides by 13 we have;
x = 2 hours
Substitute in [1] we have;
miles
Therefore, after 2 hours will the two cars be at the same distance from their starting point and 142 miles will that distance be
42x+58=55x+32
13x=26
x=2hrs <---- answer
42*2+58=142
55*2+32=142mi <----answer
Christi, Texas is 210 miles. If the ratio of miles to
inches on a map is 2:0.25, how many inches
represent the distance from Houston to Corpus
Christi?
Answers
Answer:
26.25 inches
Step-by-step explanation:
2/.25
=8
210/8
=26.25
32.5 square feet
67.5 square feet
135 square feet
Answers
Working
A = 1/2*base*height
A = 1/2*15*9
A = 67.5 sq. feet
Answer:
67.5
Step-by-step explanation: