Answers
transverse s at angle 135°
180° - 135° = 45°
Angle 2 is congruent to 45° because they're alternate exterior angles.
transverse t at angle 120°
180° - 120° = 60°
Angle 3 is congruent to 60° because they're alternate exterior angles.
One rule for exterior angles in triangles is that the exterior angle is equal to the sum of the two angles adjacent to the opposite angle of the exterior angle.
135° = angle 1 + 60°
angle 1 = 75°
120° = angle 1 + 45°
angle 1 = 75°
Therefore angle 1 is 75°,angle 2 is 45° and angle 3 is 60°
Answer:
m∠1 = 75° m∠2 =45° m∠3 = 60°
Step-by-step explanation:
m∠1 = 180 - { (180 - 135) + (180 - 120) }
m∠1 = 180 - { 45 + 60 }
m∠1 = 75°
The angle between 1 and 3, lets call it x, is vertically opposite to ∠2, so we must find it first to be able to get ∠2
Since a ║b
Therefore ∠x and ∠135 are co-interior angles
Therefore ∠x = 180-135
m∠x = 45°
∠2 = ∠x (Vertically opposite angles)
∠2 = 45°
Between ∠2 and ∠3 there is an angle, let's call it z.
∠z = ∠1 (Vertically opposite angles)
∠z = 75°
Since the sum of ∠2, ∠z and ∠3 = 180° (Straight angle)
Therefore m∠3 = 180 - (∠2 + ∠z)
m∠3 = 180 - (45 + 75)
m∠3 = 60°
Or in a different way
∠2 + ∠z + ∠3 = 180
45 + 75 + ∠3 = 180
120 + ∠3 = 180
∠3 = 180 - 120
∠3 = 60°
Hope it helps
Related Questions
Two cyclists start from 98 miles apart and begin racing toward each
other. Three hours later, they have not yet met and the distance between
them is 2 miles. How fast is each of them biking if one bikes 3 mph
slower than the other?
Answers
The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.
Let the speed of one bicyclist=x mph
Let the speed of the other bicyclist=(x+3) mph
Hence:
Speed of one bicyclist:
3x+3(x+3)+2=98
3x+3x+9+2=98
6x=87
Divide both side by 6x
x=87/6
x=14.5 mph
Speed of the other bicyclist:
x+3 mph
14.5 mph+3 mph
=17.5 mph
Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.
Learn more here:
https://brainly.com/question/18839894
Which graph represents the piecewise-defined function f(x) = { -x + 4, 0 ≤ X< 3
6,
X ≥ 3
Answers
9514 1404 393
Answer:
(d)
Step-by-step explanation:
The second line of the function is ...
f(x) = 6, x ≥ 3
This tells you that portion of the graph is the horizontal line y = 6, extending to the right from x = 3, and that there will be a solid dot at (3, 6).
This shows only on the attached graph.
Answer:
4th graph
Step-by-step explanation:
Expand the following
Answers
Answer:
a) 4x+4
b) 7x-14
c) 12x +18
d) 10x-10y
Answer:
4x+4
7x-14
12x+18
10x-10y
Step-by-step explanation:
A football field is 360 feet long 160 feet wide. What is the area of the football field?
Answers
Answer:The area of the field is 57600 square feet.
Step-by-step explanation:
Answer:
57600 square feet.
Step-by-step explanation:
360 x 160 = 57600.
real world examples of:
-scalene triangle
-isosceles triangle
-perpendicular lines
Answers
Answer:
-Scalene
Nacho chipsSails on sailing boats- Isosceles
Pizza sliceRoof-Perpendicular lines
Stairs/StepsThe corner on the inside of shelves5x^2-9 when x = -2
5(-2)^2-9
I know the answer is 11, but how? When I did it, I got -29 and I don’t know how to get 11. Could someone explain step by step on how to get the correct answer?
Answers
5(-2)² - 9
First, solve the one in the bracket which is -2 × -2 which gives us =4
5(4) - 9
Then, multiply 5 with 4 so
20 - 9
Then you'll get 11
Please help due today
Select all values equal to 4/5
A -(-4/5)
B -(-4/-5)
C -4/-5
D 4/-5
Answers
Give the x-intercept for the equation 6x + 3y = -9
Answers
Answer:
-9/6 or -3/2
Step-by-step explanation:
To find the x intercept, substitute y = 0 into the equation:
6x + 3(0) = -9
Now simplify,
6x + 0 = -9
6x = -9
x = -9/6 → -3/2
Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead
Express each number in scientific notation.
a) 1 300 000 c) 882 500 000
b) 12 500 d) 51 670 000
Answers
Answer:
1.3 x 10^6
8.825 x 10^8
1.25 x 10^4
5.167 x 10^7
Step-by-step explanation:
The area of a rectangular field is 3400 m² and its length is 68 m. Find-
(i) its breadth.
(ii) the distance covered by a man in going 5 times around the field.
Answers
here is the answer hope it help you
If the perimeter of the rectangular field is 236, the distance covered by the man is 236* 5 = 1180
Answer Here
Why is 0.0123 x 107
not in the correct Scientific
Notation format?
Answers
becauseStep-by-step explanation:
In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?
A. 50
B. 75
C. 35
D. 105
E. 95
Answers
Using a system of equations, it is found that the number of blue M&Ms in the package is of:
D. 105
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.In this problem, the variables are:
Variable x: Number of red M&Ms.Variable y: Number of white M&Ms.Variable z: Number of blue M&Ms.There are 305 M&Ms, hence:
[tex]x + y + z = 305[/tex]
There are three times as many red as white, hence:
[tex]x = 3y[/tex]
[tex]x + y + z = 305[/tex]
[tex]3y + y + z = 305[/tex]
[tex]4y + z = 305[/tex]
The blue are five more than twice the white, hence:
[tex]z = 5 + 2y[/tex]
Then:
[tex]4y + z = 305[/tex]
[tex]4y + 5 + 2y = 305[/tex]
[tex]6y = 300[/tex]
[tex]y = \frac{300}{6}[/tex]
[tex]y = 50[/tex]
[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]
Hence option D is correct.
To learn more about system of equations, you can take a look at https://brainly.com/question/24823220
Here are the two triangles from the previous screen,
along with the length you entered for XY.
What is the slope of the line?
[_________] Submit and Explain
Answers
Answer:
the slope is 1/2
Step-by-step explanation:
I picked two points (the two from the purple triangle) and I did the rise over run. The rise was 3 and the run was 6 so the slope is 3/6 but when you simplify it, it goes down to 1/2
36 men can compete a piece of work in 18 days in how many days will 27 men compete the same work
Answers
Step-by-step explanation:
Explanation:
Less Men, means more Days {Indirect Proportion}
Let the number of days be x then,
27 : 36 :: 18 : x
[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]
=>27x = 36 * 18
=> x = 24
So 24 days will be required to get work done by 27 men..
Answer:
36 men can complete work in 18 days
so, one man can complete work in 18×36 days
Therefore, 27 can complete work in 18×36/27 = 24 days
Step-by-step explanation:
Solve:
4x + 1.21 > 5
HELP ME PLEASE
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x > 0.9475[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]4x + 1.21 > 5\\\rule{150}{0.5}\\\rightarrow 4x + 1.21 - 1.21 > 5 - 1.21\\\\\rightarrow 4x > 3.79\\\\\rightarrow \frac{4x>3.79}4}\\\\\rightarrow \boxed{x > 0.9475}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
the length and breadth of a piece of land are 20meters and 15 meters respectively. What is the perimeter of this land?
Answers
Answer:
20x15=300
When you need to calculate the Length and Width of a piece of land or anything else, all you need to do is multiply the two numbers.
Step-by-step explanation:
When you have 20 units of land in as the length and 15 units of land as width, then you should multiply.
2x4=?
When you do 2x4, you have to do 2+2+2+2=
but, here, you have a piece of land to calculate, so basically, you have to multiply still. In that way, you will be able to get what 20 and 15's product is.
I'm sorry, sometimes I just can't explain that well, but just remember, in these types of problems, just multiply, that is your answer.
Thank You! I hope I made your day just a little better!
Have a great time studying!
If x-1/x=3, find the value of x^2+1/x^2
please show steps too…
Answers
Answer:
5
Step-by-step explanation:
x=-1/2
can someone help me please ?
Answers
Answer:
Any number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number.
So, 323.2685109 is IRRATIONAL number.
Help me on this please it’s due please help me
Answers
Answer:
[tex] < [/tex]
Step-by-step explanation:
[tex] < [/tex]
which one would it be
Answers
Answer:
the answer would be c. .........
When you rotate a figure, does every point move the same distance? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
Because the figure is only 1 product or thing
Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
A 2-column table with 6 rows. Column 1 is labeled Height (inches) with entries 30, 46, 49, 63, 67, 73. Column 2 is labeled Arm Span (inches) with entries 27, 45, 47, 63, 69, 71.
1. Label axes according to input/output.
is the x–axis label.
is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.
The ordered pair
is found in the scatterplot.
Answers
Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Step-by-step explanation:
I'm late but hope this helps
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answers
Answer:
41 inches of wire will cost 164 cents.
Step-by-step explanation:
1st Method
Use proportions!
18/ 72 = 41/ c
Cross multiply
18 * c = 72 * 41
18c = 2952 divide both sides by 18
c = 164
2nd Method.
Find the rate of the costs. r = rate
18*r = 72
r = 4 cents/inch
Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!
41 inch * r (cents/inch) inches cancels out.
41 * 4 = 164
164 cents
what is the first thing you draw in creating an angle bisector?
A) a curve intersecting both rays
B) a line segment intersecting both rays
Answers
how would I solve this??
Answers
Answer:
y = 140
Step-by-step explanation:
you'd do:
y=25(7)-35
y=175-35
y=140
to double-check your math:
140 = 25(7)-35
both sides will equal 140 (or the same value) if done properly
hi please help :)????
Answers
there's not information for me to help. what are the choices in the word box?
Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748.
Answers
Step-by-step explanation:
The formula used to determine the terms is
an = a1 × rn - 1
It is given that
a1 = 4
a8 = -8,748
Substituting the values in the formula
-8748 = 4 × r8 - 1
r7 = -8748/4
r7 = -2187
r = -3
So the 16th term is
a16 = 4 × 316-1
a16 = -57395628
Therefore, the 16th term is -57395628.
Amal and Ji both rent out their food
trucks. The table shows the amounts
Amal and Ji charge per hour to rent their
food trucks.
Answers
Answer:
Amal and Ji rent the same amount of per hour but Amal had a starting fee of $75
Step-by-step explanation:
A number cube is rolled.
What is P(2)
Enter the answer as a fraction, decimal, and percent in the boxes. Round each decimal and percent to the nearest hundredth.
At
Answers
Answer:
Since there are 6 sides to a cube, the probability of rolling anything but 5 is five out of six.
Fraction is 5/6
To find the decimal, divide 5 by 6 and round to the nearest hundredth
Decimal is 0.83
Then to find the percent you slide the decimal over two spaces.
Percent is 83%
The ratio is 5:6\
Answer:
Below.
Step-by-step explanation:
As there are a total of 6 numbers on a cube:
p(2) = 1/6 or 0.17 or 16.67%.
Pls help!!!!!!!!!!!!
Answers
Answer:
3. W=4, L=10
4. W=4, L=8
Step-by-step explanation:
3.
L = 3W-2
W = W
P = 2L + 2W
P = 2(3W-2)+2W
P=28
2(3W-2)+2W=28
8W-4=28
8W=32
W=4
L=3W-2, or 10
Check: 2(4)+2(10) = 28? Yes
4.
L=2W
W=W
P=24
2L+2W=24
2(2W)+2W=24
6W=24
W=4
L=8
Check: 2(8)+2(4)=24 ? 16+8 = 24 Yes
