Angles are formed when two or more lines intersect. Angles are majorly measured in degrees.
The required proof is as shown below:
Whenever a transversal passes through two parallel lines, angles are formed which have some similar properties.
STATEMENTS REASONS
1. AB ║DC Given.
2. < FDC ≅ < FBA Alternate angle theorem.
3. <AFB ≅ < DFC Vertical opposite angle rule.
4. DF ≅ BF Given
5. ΔDFC ≅ Δ BFA Angle-Angle-Side property
For more clarifications on the properties of angles formed by a transversal, visit: https://brainly.com/question/14589220
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I need help please):
Answer:
7) x = 5
8) x = 10
Step-by-step explanation:
7) 2x-3=x+2
x=5
8) 4x=2x+20
2x=20
x=10
How do you solve this equation for x?
-3(x+4) = x - 4
Step-by-step explanation:
(x+4)-x=-4+3
X+4-x = -1
x-x = - 1-4
-x = - 5
If the FDIC has an insurance fund of $67.8 billion and must use 7.6% of it to cover several failed banks, approximately how much money is left in the fund?
Answer: D
Step-by-step explanation: correct on edg 2021
Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)
Answer:
(-1,1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-5+3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(3+-1)/2 = 2/2 = 1
(-1,1)
make ,me as brainlist
Evaluate y + (x2 + y) when x = 0.4, y = 3, z =
Answer:
6.16 is the answer
Step-by-step explanation:
3 + (.4^2 + 3)
3 + 3.16
6.16
Please help due today
Answer:
14 miles
Step-by-step explanation:
3 + 4 + 3 + 4 = 14
5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?
Answer:
5xy
Step-by-step explanation:
I'm going out on a limb and assuming exponents.
[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]
We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.
(5x^2-4X + 7) - (4x + 2)
En que bote se hizo más Rosa más intenso en el de pintura roja y blanca en el cada color
A 30 ft water slide forms a 45 degree angle with their surface of the water. How high is the top of the slide bouncer nearest whole number
Answer:
21ft
Step-by-step explanation:
sin(45°)=height/30
height=30sin(45°)
h=30×√2/2=15√2≈21.213(21ft to the nearest whole)
The height should be 21 ft.
Given that,
A 30 ft water slide forms a 45 degree angle with their surface of the water.Based on the above information, the calculation is as follows:
[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]
≈21.213
= 21 ft
Learn more: brainly.com/question/17429689
can anyone help with this???
Answer:
X= 13
A=104
C=26
Step-by-step explanation:
the equation is 8x+2x+50=180
10x=130
x=13
2(1/2z+ 4)- 0.5
what could this be re written as?
a. z-3.5
b. z+7.5
c. z+8.5
d. 2z+3.5
Answer:
B. z+7.5 is the answer I chose
evaluate the following expression 10x(-9+(-6))
Answer:
-150x
Step-by-step explanation:
HELP ME IT WOULD MEAN A LOT
Answer:
123
Step-by-step explanation:
72+51=123
123 - 72 = 51
Answer:
72+51=123
123 - 72 = 51
Step-by-step explanation:
Spencer had a sack filled with 65 9/10 pounds of cement. He removed some of the cement from the sack and put it into three buckets. He put 8 1/10 pounds of cement in each bucket. Spencer says he has about 42 pounds of cement left in the sack. Is his statement reasonable?
Answer:
No the statement isnt reasonable
Step-by-step explanation:
You guessed the height of the building to be 23 feet, but it was actually 35 feet. What was your percent error? Round to the nearest WHOLE percent
please round to WHOLE
Answer:
34%
Step-by-step explanation:
35 - 23 = 12, so the guess is off by 12/35.
To find the percentage, divide 12 by 35, which is approximately 34%.
15. Which of the following systems represent the graph shown?
A) 2x + 3y < 6
-x + y > -4
B) 2x + 3y _> 6
-x + y _> -4
C) x + y >_ 4
2x - 3y <_ 6
D) x + y > 4
2x - 3y < 6
A student answered 40 problems on a test correctly and received a grade of 80%. How many problems were on the test, if all the problems
were worth the same number of points?
Answer:
Step-by-step explanation:
80x/100 = 40
80x = 4000
x= 50 problems
Answer:
50 problems
Step-by-step explanation:
40÷2 =20 = 40% 20÷2 =10 = 20%
if 10 =20% then 10 × 5 = 50 or 80%
(overthinking)
Mark's father was putting in a new kitchen floor. The dimensions were 8 feet by 12 feet. If each tile was 1 square foot,
how many tiles dld he need?
87tiles 96tiles 78tiles
Answer:
96
Step-by-step explanation:
Total area is 12*8=96 square feet
Each tile is 1 square foot
The required tiles are therefore 96/1=96
Do the ratios 20/10 and 4/2 form a proportion? Yes or no
Answer:yes
Step-by-step explanation:they are equal
I NEED HELP AGAIN 4.0
Answer:
Move the dot at the axis one to the left and one down move the other dot to (7,0)
Step-by-step explanation:
Find the dot at the origin (0,0)
Move it to (-1,-1) which is one unit to the left and one unit down.
Select other dot and place it at (7,0)
Click submit
What is 5n = 185 what’s the n=__?
249 = 3y y=__?
-6w = 354 w=__?
1. n = 37
isolate n by dividing both sides by 5
2. y = 83
isolate y by dividing both sides by 3
3. w = -118
isolate w by dividing both sides by -6
In Geometry, which kind of reasoning is used in proving theorems? Inductive or Deductive Reasoning? Why?
Answer:
Inductive
Step-by-step explanation:
Because our conclusion is based on facts, the conclusions reached by deductive reasoning are correct and valid.
Two parallel lines are cut by a transversa
On a map the distance between Juneau and Fairbanks is 5 inches. The approximate distance is 625 miles. The distance between Denver and Fairbanks is 19.5 inches on the same map. What is the approximate distance from Denver to Fairbanks to the nearest mile?
Answer:
The answer for this question is 2,437.5 or rounded 2,438.
Step-by-step explanation:
5 goes into 19.5, 3.9 times to get that take 19.5÷5 to get 3.9. Then take 625×3.9 to get the total of 2,437.5 miles for your answer.
Answer:
Step-by-step explanation:
jhghgjhjgjjhgghghghgbhbjhbhvgjhgygyguygygyugglygygluyglygyggylgyugyygygygygygugyggyghjghgkygkhghgjkghhgghgghgggghghhghghghghghhgghghghghghghghgghghghghjhgjggjghghjgggghhhghggjkgkjghjjghkghjkggkghjggkhghgkhghkjghjghghjkgjhkgjhhjghgkhghgkjghjgjkhhjhhghgkjgghjj.
Other option
B: 74.9
C: 15.1
D: 15.7
Step-by-step explanation:
cosine of B = adjacent/hypot
to find hypotenuse use a^2+b^2 = c^2
which is 5 (it's a 3,4,5 triangle so it's easy)
Cosine B= 4/5
PLEASE HELP I WILL GIVE BRAINALIST!!!!
AB contains points (4, 2) and (−1, −8). What is the equation of the line parallel to AB that contains point (0, 5)?
9514 1404 393
Answer:
y = 2x +5
Step-by-step explanation:
We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.
m = (y2 -y1)/(x2 -x1)
m = (-8 -2)/(-1 -4) = -10/-5 = 2
__
y -y1 = m(x -x1) . . point-slope form of equation for a line
y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)
y = 2x +5 . . . . . . . rearrange to slope-intercept form
Guys help please I need this done in like 5-10 mins I will mark u brainliest please
Answer:
HI
Step-by-step explanation:
U got this (:
Answer:
1/4
Step-by-step explanation:
rise=y it takes him 4 minutes to run 1 km so rise over run would be 1//4
run=x
and him running 1 minute is half a meter
or do you need slope fomula
this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest
m-3/18=11/18 What is m??
Answer:
I think m is a variable
Step-by-step explanation:
because a variable is a letter representing a unknown amount
Step-by-step explanation:
hope this will help you.
A running race follows a triangular course. The first leg of the race is in a straight line, covering 4.4km. Runners turn an angle of 79 deg for the second leg, and then turn again 77 deg to head back to the start line to finish the race. What is the length of the entire race, to the nearest tenth of a kilometer?
Answer:
The length of the entire race is 9,5km
Step-by-step explanation:
Required
Determine the length of the race.
To aid my explanation, I have added an attachment which shows the triangular course.
From the attachment, we have:
A as the starting point and the following measurement;
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]
[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]
[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]
[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]
[tex]\angle A = 77^{\circ}[/tex]
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 92^{\circ[/tex]
[tex]c = 4.4km[/tex]
Apply sine rule
[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Split to solve for a and b
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Make a the subject
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]a = 4.403 * sin(77^{\circ})[/tex]
[tex]a = 4.403 * 0.9744[/tex]
[tex]a = 4.3km[/tex]
Make b the subject
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
[tex]b = 4.403 * sin(11^{\circ})[/tex]
[tex]b = 4.403 * 0.1908[/tex]
[tex]b = 0.8km[/tex]
The length of the race is:
[tex]Length = a + b + c[/tex]
[tex]Length = 4.3km + 0.8km + 4.4km[/tex]
[tex]Length = 9.5km[/tex]