Answers
When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.
Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.
See the drawing attached below.
Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:
m<DIE + m<HID = 18
40 + m<HID = 180
m<HID = 140
Similarly:
m<BHC + m<CHI = 180
130 + m<CHI = 180
m<CHI = 50
Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:
m<DIE = m<GIH = 40
m<GIE = m<HID = 140
m<CHI = m<AHB = 50
m<BHC = m<AHI = 130
Related Questions
3/4 divided by 2/3 in simplest form
Answers
Answer:
1 1/8
Step-by-step explanation:
1. Keep, change, flip
3/4 x 3/2
2. Multiply
3/4 x 3/2= 9/8
3. Simplify
9/8= 1/18
3. Determine whether these two lines are parallel, perpendicular, or neither. 1 point
8x + y = 7, 4x + 3y = 12 *
parallel,
perpendicular or
neither
Answers
Answer:
The two lines are neither
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsPerpendicular lines have a product of their slopes = -1The slope of a line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]∵ The equations of the lines are
8x + y = 7 ⇒ 1st4x + 3y = 12 ⇒ 2nd∵ In the 1st equation a = 8 and b = 1
∴ m1 = [tex]\frac{-8}{1}[/tex] = -8
∴ The slope of the 1st line is -8
∵ In the 2nd equation a = 4 and b = 3
∴ m2 = [tex]\frac{-4}{3}[/tex]
∴ The slope of the 2nd line is [tex]\frac{-4}{3}[/tex]
→ By using the facts above
∵ m1 ≠ m2
∴ The two lines are not parallel
∵ m1 × m2 = -8 × [tex]\frac{-4}{3}[/tex] = [tex]\frac{32}{3}[/tex]
∴ m1 × m2 ≠ -1
∴ The two lines are not perpendicular
∴ The two lines are neither parallel nor perpendicular
Round 90.2844097979 to 3 decimal places.
Answers
Answer:
It would be 90.284.
Step-by-step explanation:
These two triangles are similar what is the measure of angle M?
Answers
Answer:
30
Step-by-step explanation:
We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:
180=102+48+m
180=150+m
30=m
Answer:
A. 30 degrees
Step-by-step explanation:
They are similar aka the same or congruent and since you know all three angles you just match them up.
Is (-1, -4) a solution to a equation y=6x_ -2?
Answers
Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 + 8.
The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction + 8.
One of the steps to determining the value when n = 4 is 1 minus 2 + 8.
One of the steps to determining the value when n = 4 is 2 minus 1 + 8.
The value when n = 4 is 6.
The value when n = 4 is 7.
The value when n = 4 is 9.
The value when n = 4 is 10.
Answers
Answer:
A and H are correct
Step-by-step explanation:
I took the quiz
The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”
"Two less than x" describes "x- 2"
"Quotient of x and y" describes x/y
"x increased by y" describes x+y
n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.
So, the expression is n³/16-2+8
= n³/16 +6
When n=4, we get
4³/16 +6
= 4+6
= 10
Therefore, the options A and H are correct answer.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ3
What is 83 1/3% of 30
Answers
step by step explanation:
yw
hope this helps
give brainliest plz
When I bought my car it was $25,000. My car’s value is now $11,000. What percentage is my car now from its original price?
Answers
Answer:
56% should be the answer
turn y=4x-7 into standard form.
Answers
Robert had money in his savings account. He spent $35.80 of it on a new jacket. He has $70 left. How much money did he have in his savings before he bought the jacket?
Answers
Answer:
105.8
Step-by-step explanation:
All you have to do is add them up :)
Answer:
95.80
Step-by-step explanation:
Btw this is very easy Hope this Helps tho (✿◡‿◡)
What theorems can be used to prove the triangles are congruent?
SSS
ASA
AAS
HL
Answers
Answer:
1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)
Step-by-step explanation:
ahhhhhhhhh come on I'm so stupid
Answers
Answer:
1. -32
2. -46
Step-by-step explanation:
1. When muliplying a number with a postive number and a negative number the answer will be a negative number
2. When you have a negative number and when you have a postive number and you are subtracting your answer has to be a negative answer
Answer:
cvgbnm,m
Step-by-step explanation:
bxxcvn vn
What is the area of ABC?
Answers
Answer:
Area of triangle ABC = 10
Option C is correct.
Step-by-step explanation:
We need to find area of triangle ABC
We are given A(2,1) B(4,7) and C(6,3)
The formula used to find [tex]Area \ of \ triangle=\frac{1}{2}base\times height[/tex] ABC is:
In the given triangle base= AC and height = BC
First we need to find the distance between A and C and B and C
The formula used to find distance between AC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=2, y_1=1, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}[/tex]
find distance between BC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=4, y_1=7, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}[/tex]
So, We have height = [tex]\sqrt{20}[/tex] and base = [tex]\sqrt{20}[/tex]
Finding area of triangle
[tex]Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10[/tex]
So, Area of triangle ABC = 10
Option C is correct.
Multiply out and simplify: (x + 6)(x - 2)
Answers
Answer:
x squared+4x−12
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 4x - 12[/tex]
Step-by-step explanation:
[tex](x + 6)(x - 2)[/tex]
[tex] = > x(x - 2) + 6(x - 2)[/tex]
[tex] = > {x}^{2} - 2x + 6x - 12[/tex]
[tex] = > {x}^{2} + 4x - 12[/tex]
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
Answers
Answer:
A and D
Step-by-step explanation:
I took the assignment
Answer:
a, d
Step-by-step explanation:
What is a function in math?
if you explain I will make you brainiest!
Answers
Answer:
A function is an equation in math that connects an input to a given output.
Step-by-step explanation:
PLEASE HELP ME !
Determine the range of the inequality 4x2 + 3x - 10
Answers
Answer:
-22
Step-by-step explanation:
type it in google
Angelina paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake? *
Answers
Answer:
the answer would be 1.82
Step-by-step explanation:
it is this answer because you have to see how much money goes into one cupcake which to put stuff into different places you have to divide 12/6.60
Answer:
$0.55 Hope this helps!!!!!!!
Step-by-step explanation:
Remember that is that a dozen is equal to 12.
12x= 6.60
/12 /12
x=.55
reduce the ratio to its lowest form 18:81
Answers
Answer:
1:4.5 or 2:9 if you want it a whole number.
Step-by-step explanation:
81/18 = 4.5If your trying to get it to a whole number the answer would be 2:9 because 18/9 = 2 and 81/9 = 9 so 1:4.5 or 2:9.
Aidan had 13 tropical fish and gave 8 of them to his brother then Aidan bought 6 more from the pet store each fish cost $9.45 how many fish does Aidan have now
Answers
Answer:
11 fishes
Step-by-step explanation:
Answer:27
Step-by-step explanation: add all the answers
52 = p - 3
what is p ?
Answers
Answer: P=55
Step-by-step explanation:
52=p-3
52+3= p+3
55=p (-3+3=0)
what is the fraction of 23%
Answers
Answer:
23/100
Step-by-step explanation:
is this what u mean?
Answer: is 23/100
im rite
on
ma
mama
its a mee again and I just wanted to ask
whats 10 divided by 9075
Answers
Answer:
0.00110192837
Step-by-step explanation:
What is the scale factor?*
A
7
6
5
5
30
С
3
3
2.
В"
-10
2
3
5
6
78
9 10 11 12 13
-2
-3
Answers
Answer:
Scale factor is 3
Step-by-step explanation:
The distance in A and B is 2
The distance in A' and B' is 6
6/2=3
what is the slope of the line that passes through the points
(5,1) and (2,-7)
A.) 3/8
B.) -8/3
C.) 8/3
D.) -3/8
Answers
Slope is the change in y over the change in x:
Slope = (-7 - 1) / (2 - 5)
Slope = -8/-3
Slope = 8/3
(-7-1)/(2-5) = -8/-3
It would be C. 8/3
PLEASE HELP...I WILL GIVE BRAINLIEST AND THANKS
A)On the grid, draw the graphs of y=x+2 and x+y=3
b) use the graph to solve the simultaneous linear equations y=x+2 and x+y=3
Answers
9514 1404 393
Answer:
see the attachment for a graph
(x, y) = (0.5, 2.5)
Step-by-step explanation:
The first equation has a slope of 1 and a y-intercept of 2.
The second equation has a slope of -1 and a y-intercept of 3.
The two lines cross at the point (0.5, 2.5), which is the solution to the system of equations.
Answer:
a) Sorry, I submitted the question before screen clipping the graph
b) X=0.5 Y=2.5
Step-by-step explanation:
Draw both lines, and the coordinates which the 2 lines cross at equals x and y.
ASAP please i need helppp
Answers
Solve each multi-step linear equation
12-6x=-8x+7+7x
Answers
Answer:
1
Step-by-step explanation:
12-6x=-8x+7+7x
-6x+8x-7x=7-12
-5x=-5
X=5/5
X=1
So the value of X is 1
9x + 11 = 110
what is x ?
Answers
Answer:
x = 11, lucky you, this stuff is easy
Step-by-step explanation:
110 - 11 = 99
9 x 11 = 99
99 + 11 = 110
Answer:
x = 11
Step-by-step explanation:
9x + 11 = 110
- Pass the 11 to the other side of the equation (grouping similar terms) and then perform the following operation:
9x = 110 - 11
9x = 99
- Now we have to obtain x by dividing 9 on both sides of the equation:
(9/9)x = 99/9
x = 99/9, which is divisible by 11.
Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system? (2 points)
Answers
Answer: 2x+y=-6
Step-by-step explanation: