PLEASE ANSWER! WILL GIVE BRAINLIEST!
The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).
Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)
2. What is the measure of the sum of the angles in a triangle? (2 points)
3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)
Answers
1. m∠5 = 75° (corresponding angles theorem)
2. Sum of angles in a triangle = 180°
3. m∠3 = 55°
4. Straight line angle = 180°
5. m∠2 = 50°
What is the Corresponding Angles Theorem?If two corresponding angles are formed when a transversal intersect parallel lines, they are both congruent based on the corresponding angles theorem.
1. m∠5 = m∠1 (corresponding angles theorem)
m∠5 = 75°
2. Sum of angles in a triangle = 180°
3. m∠3 + m∠4 + m∠5 = 180° (sum of triangle)
Substitute
m∠3 = 180 - 50 - 75 = 55°
4. Straight line angle = 180°
5. m∠2 = 180 - m∠3 + m∠1 (straight line angle)
m∠2 = 180 - 55 - 75
m∠2 = 50°
Learn more about corresponding angles theorem on:
https://brainly.com/question/5221905
Related Questions
Find the greatest common factor of 34 and 36.
Answers
Answer:
2
Step-by-step explanation:
Factors of 34 include : 1,2,17 and 34
Factors of 36 are : 1,2,3,4,6,9,12,18,36
The only two common are 1 and 2
2 is greater tha one
So the gcf is 2.
Brainliest would be appreciated
Answer:
The greatest common factor is 2.
Step-by-step explanation:
You need to find the greatest common factor between 34 and 36.
Factors of 34: 1, 2, 17, and 34.
1*34=34
2*17=34
17*2=34
34*1=34
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Therefore, the greatest common factor of 34 and 36 is 2, which is our answer.I hope this helps! Let me know if you have any questions.
1
Maurice drove 48 miles north and then 36 miles west. Find the
shortest distance from the point where he ended up to his starting
point.
Answers
Answer: 60 miles
Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.
Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60
Find
a
and
d
for an arithmetic sequence where the 5th term is 10 and the 6th term is 8.
Answers
Answer:
Step-by-step explanation:
Arithmetic sequence:
[tex]\boxed{a_n =a + (n-1)*d)}[/tex]
a₅ = 10 a + 4d = 10
a₆ = 8 a + 5d = 8
Multiply the equation (I) by (-1) and then add. 'a' will be eliminated and we can find the value of 'd'
(I)*(-1) -a - 4d = -10
(II) a + 5d = 8 {Now add}
d = -2
Substitute d = -2 in equation (I)
a + 4*(-2) = 10
a - 8 = 10
a = 10 + 8
a = 18
a = 18 , d = -2
Sequence: 18 ,16 , 14 , 12 , 10 , ......
Megan wants to buy a designer handbag and plans to earn the money from babysitting. Suppose the interest rate is 8% and she is willing to wait one year to purchase the bag. How much babysitting money will she need to earn today to buy the bag for $400 one year from now? (Enter just the number in dollars without the $ sign or a comma and round off decimals to the closest integer, i.e., rounding $30.49 down to $30 and rounding $30.50 up to $31.)
Answers
Answer:
370
Step-by-step explanation:
FV = PV ( 1 + i) i = interst in decimal
400 = PV ( 1.08)
PV = 400 / 1.08 =
find the sum of the fractions below. 5/8 + 1/n = 7/8 A. 3 B. 3 5/12 C. 3 4/9 D. 4
Answers
Answer:
D. 4
Step-by-step explanation:
1) Subtract 5/8 from both sides.
1/n = 7/8 - 5/8
2) Simplify 7/8 - 5/8 to 1/4.
1/n = 1/4
3) Multiply both sides by n.
1 = 1/4n
4) Simplify 1/4n to n/4.
1 = n/4
5) Multiply both sides by 4.
1 * 4 = n
6) Simplify 1 * 4 to 4.
4 = n
7) Switch sides.
n = 4
Check Answer:
5/8 + 1/n = 7/8
1) Let n = 4.
5/8 + 1/4 = 7/8
2) Simplify 5/8 + 1/4 to 7/8.
7/8 = 7/8
Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. The vertex of the parabola is at the the origin. Where should Gabe place the bulb to ensure a perfect beam of light?
(0,1)
(0,4)
(1,0)
(4,0)
Answers
Answer:
C. (1,0)
Step-by-step explanation:
If we make use of a parabolic reflecting mirror and a light source.
Given thar the equation of parabolic mirror is Y2 = 4ax
The given data in the problem is x = 1 and y = 2
So subject value is y2 = 4ax
4 = 4 a (1)
a = 1
So x = 1
thus focus is at (x, y) = (1,0)
Therefore, option C is correct answer.
Which pieces of information may be found on a person's credit report?
Select each correct answer.
past due bills
social security number
marital status
medical history
criminal record
mortgage payment
Answers
Answer:
Past due bills
social security number
mortgage payment
Given the 4 points below,
identify what shape is
formed and how you
found your answer.
A(-1,0), B(0, 2), C(4,0), and
D(3,-2)
Answers
basically it's a quadrilateral
hope it really helps..!!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
x = 6y = 5z = 11.5Step-by-step explanation:
Reflections of a line or a figure across an axis does not change its lengths.
Therefore, the corresponding parts are equal.
5x = 302y = 102z - 1 = 22Solving for x
5x = 30Divide each side by 55x/5 = 30/5x = 6Solving for y
2y = 10Divide each side by 22y/2 = 10/2y = 5Solving for z
2z - 1 = 22Add 1 to each side2z - 1 + 1 = 22 + 12z = 23Divide each side by 22z/2 = 23/2z = 11.5Question 1 of 6
What is the logical conclusion, based upon the information given in the
problem below?
At a recent baseball game, anyone under age 9 was given one free hotdog.
Travis had to pay for the hotdog that he ate. How old must Travis be?
O A. 6 years old
O B. 11 years old
C. 8 years old
Answers
Question 8
The Woodlands Middle School poll results show that about 79.3% of
people who prefer pizza are students and about 81% of the people
who prefer burgers are students.
Which of the following statements is true?
Pizza
There is not enough evidence to
support a relationship between lunch
preference and role at the school.
Students
Teachers
79.3%
20.7%
100%
Burgers
81.0%
19.0%
100%
Total
There is evidence to support a
relationship between lunch preference
and role at the school.
Answers
Answer: There is not enough evidence to support a relationship between lunch preference and role at the school.
Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1
Answers
Answer:
x = -5 plus/minus sqrt( 26 )
Step-by-step explanation:
Let's remember the binomial square formula
A^2 + 2AB + B^2 = (A + B)^2
We have:
x^2 + 2*5x -1
Hence, if we replace
A = x
B = 5
we get a perfect square: x^2 + 2*5x + 25 = (x + 5)^2. [++]
Based on this reasoning, let's set f(x) = 0
x^2 +10x -1 = 0
Let's add 26 on both terms:
x^2 +10x +25 = 26
Based on [++]: (x + 5)^2 = 26
Square root on both sides
(x + 5) = plus/minus sqrt (26)
x = -5 plus/minus sqrt (26)
Graph the given function by making a table of coordinates
Answers
Y- (0.25)(0.5)(1)(2)(4)
Hope this helps:)
Can someone help me please?
Answers
Answer:
Wow that's a lot of questions. The answers are 2, 3/4, 4, 6, 10, 5, 48500, 48000, and 50000
Step-by-step explanation:
Hope this helped
find the binomial factor s^2+10s+25
Answers
[tex]s^2+10s+25\\\\=s^2+2\cdot 5 \cdot s +5^2\\\\=(s+5)^2\\\\=(s+5)(s+5)[/tex]
write 12/root2 + root18 in the form broot2 where b is an interger
Answers
[tex]\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2[/tex]
Evaluate the following expression
(10 + 2) = 6 + 53
Answers
Answer:12=59
Step-by-step explanation:
100 PTS HELP PLS To the nearest 50 square feet, what is the area of the actual store?
Question 1 options:
2,350 square feet
2,450 square feet
2,500 square feet
2,400 square feet
Answers
Answer:
2,500 square feet is the answer
1. How many degrees are in this angle, which is one-fourth of the circle?
Answers
Answer: 90 degrees
Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide
360/4 = 90 (: hope this helps
Answer:
90* x 4 = 360*
360* / 4 = 90*
Step-by-step explanation:
A circle has 360* all around.
In the angle that was drawn, it is 90*
The degrees for the space outside of 90* is x
x = ? 360* - 90* = 280* x = 280*
hope this helped
where do the graphs of f(x)=cos(x/2) and g(x)= sqrt2 - cos(x/2) intersect on the interval [0,360)?
(See image below for clear question and answer choices)
Answers
Answer:
(a) 90°
Step-by-step explanation:
A graph can help you answer the question about where the graphs of the two functions intersect. It shows the one angle of intersection to be 90°.
__
You can also determine this analytically.
f(x) = g(x)
cos(x/2) = √2 -cos(x/2)
2cos(x/2) = √2 . . . . . . . . . . add cos(x/2)
cos(x/2) = √2/2 . . . . . . . . divide by 2
x/2 = ±45° +360°×n . . . . . for an integer n
x = ±90 +720°×n . . . . multiply by 2
x = 90° is the only solution in the desired range.
HELP
10 points
And brainleist
Answers
Answer:
5 and 6 are vertical
1 and 2 are linear pair
Step-by-step explanation:
1 and 2 are linear pair because they add up to 180 degrees
5 and 6 are across from each other so they are vertical angles
A cat eats 2/3 of a tin of cat food every day. How many tins of cat food will she eat in 1 week?
Answers
First, how many days are in a week?
7 days are in a weekSo 7x 2/3First, Convert any mixed numbers to fractions.
Then your initial equation becomes:
2/3×7/1
Applying the fractions formula for multiplication,
=2×7 x 3×1
=14/3
Simplifying 14/3, the answer is
4 and 2/3
Therefor, your answer is 4 2/3
Order from least to greatest the given numbers.
-5,13,4,-10,-1
A)
-5,-1,-10,4,13
B)
-10, 4, 13,-1,-5
C)
-10,-5, -1, 4, 13
D)
-5, -10,-1, 13,4
Answers
Answer:
Option C) is correct......
It takes Kim 7 hours to proof a chapter of Hawkes Learning Systems' Introductory Algebra book and it takes Harding 2 hours. How long would it take them working together? (Round your answer to two decimal places.)
Answers
What is the probability of rolling a 7 or 8 on an 8-sided die?
Answers
Answer:
2/8
Step-by-step explanation:
denominator is 8 as it's the total of the entire dice.
your numerator is 2 as you only have 1 #8 and 1 #7 so 1+1=2
answer is 2/8
Given the figure below, find the values of x and z.
120°
(9x + 30).
Answers
Answer:
z=60º, x=10º
Step-by-step explanation:
Question 1: 180º - 120º = 60º
Question 2:
(9x+30) = 120º
-30 -30
9x=90º
/9 /9
x=10º
Question
The dimensions of a cereal box are shown below.
32 cm
9 cm
21 cm
What is the volume of the box?
Answers
Answer:
6048 cm2Step-by-step explanation:
32*9*21
Finding volume is simple as pie for a cube.
Length*Height*width
john has 15 apples. john eats 6 apples.how many apples does john have left.
Answers
Answer:
9
Step-by-step explanation:
Find an equation of the line that goes through the points (8,-45) and (2,-9). Write your answer in the form y = mx + b.
Answers
Linear equations are commonly organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = the y-intercept (the value of y when x=0)To find the equation of a line given two points:
Determine the slope of the line using the slope formulaPlug the slope into [tex]y=mx+b[/tex]Determine the y-intercept by solving for bPlug the y-intercept back into the equationSolving the QuestionWe're given:
The line passes through the points (8,-45) and (2,-9)First, determine the slope using the following formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
⇒ Plug in the given points (8,-45) and (2,-9):
[tex]m=\dfrac{-45-(-9)}{8-2}\\\\m=\dfrac{-45+9}{8-2}\\\\m=\dfrac{-36}{6}\\\\m=-6[/tex]
Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=-6x+b[/tex]
Now, determine the y-intercept:
[tex]y=-6x+b[/tex]
⇒ Plug in one of the given points as (x,y) and solve for b:
[tex]-9=-6(2)+b\\-9=-12+b\\3=b[/tex]
Therefore the y-intercept of the line is 3. Plug this back into [tex]y=-6x+b[/tex]:
[tex]y=-6x+3[/tex]
Answer[tex]y=-6x+3[/tex]
Gavin needs to fill the fish tank below with water. The directions state that the water level
should be 2 inches below the top of the tank. Write an expression to show the volume of water
Gavin needs to fill the tank according to the directions.
(2x-6) inches
00
x inches
2x inches
Answers
Answer:
the volume is 300cubic inches
the expression is l x w x (h-2)