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)
PLEASE ANSWER! WILL GIVE BRAINLIEST
Answers
1. m∠5 = 75° (corresponding angles theorem)
2. 180°
3. m∠3 = 55° (triangle sum theorem).
4. A straight angle = 180°
5. m∠2 = 50° (angles on a straight line)
What is the Triangle Sum Theorem?According to the triangle sum theorem, the sum of the angles in a triangle equals 180 degrees.
1. m∠5 = m∠1 = 75° (corresponding angles are congruent)
2. Measure of the sum of all angles in a triangle = 180°
3. To find ∠3, we would have the following equation:
m∠3 = 180 - m∠4 - m∠5 (triangle sum theorem).
Substitute and solve
m∠3 = 180 - 50 - 75
m∠3 = 55°
4. A straight angle = 180°
5. m∠2 = 180 - m∠3 - m∠1 (angles on a straight line)
Substitute and solve
m∠2 = 180 - 55 - 75
m∠2 = 50°
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Related Questions
PLEASE I’LL MARK BRAINIEST
Simplifying expressions by combining like terms
2t - t - t + 5t + 6t + 10t
Answers
Explanation:
[tex]\dashrightarrow \sf \ \ 2t-t-t+5t+6t+10t[/tex]
combine similar terms
[tex]\dashrightarrow \sf \ \ 5t+6t+10t[/tex]
addition
[tex]\dashrightarrow \sf \ \ 21t[/tex]
Answer:
21t
Step-by-step explanation:
2t-t-t+5t+6t+10t
=2t-t-t=0
Then,
5t+6t+10t = 21t ans.
There are 100 patients in a hospital with a certain disease. Of these, 10 are selected to undergo a drug treatment that increases the percentage cured rate from 50 percent to 75 percent. What is the probability that the patient received a drug treatment if the patient is known to be cured?
Answers
Answer:
1/7
Step-by-step explanation:
hope this helps x have a great day
My sister needs help
Answers
Answer:
» 15
Step-by-step explanation:
» 5*3=15
hope this helps.
2. Lisa can buy orange juice in 0.24-liter cartons or 0.48-liter cartons. Which is closest to the
number of 0.48-liter cartons she would need to completely fill a pitcher that holds 3.58 liters?
(A. 1.7
B. 5.0
C.1.5
D. 15.0
Answers
Answer:
i think its 1.7 if this is correct can u mark me brainliest
Step-by-step explanation:
an athletic director pays $90 for 12 visors, how much will the athletic director pay to buy 15 visors?
Answers
Answer:
sample What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Step-by-step explanation:
7.5 x 15 is 112.50
The athletic director will pay $112.50 for 15 visors. Hope this helps and please mark brainliest!
I sold 853 raffle tickets at 5 for $20. How much money did I make?
Answers
Answer:
17,060$
Step-by-step explanation:
#CarryOnLearning Free to ask
In a particular city, 21 in 1.5 million people have been struck by lightning. What is the experimental probability of being struck by lightning in this city?
Answers
21/(1.5 million) = 0.0014%
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 5900 dollars?
nt
A = P(1+)
Answers
The time required to get a total amount of $5,900.00 with compounded interest on a principal of $5,000.00 at an interest rate of 5.75% per year 2.899 years
Compound InterestGiven Data
Principal P = $4000Rate r= 5.75%Final Amount A = %5900Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.75/100
r = 0.0575 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(5,900.00/5,000.00) / ( 4 × [ln(1 + 0.0575/4)] )
t = ln(5,900.00/5,000.00) / ( 4 × [ln(1 + 0.014375)] )
t = 2.899 years
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ABC is an equilateral triangle .Three distinct points are marked on each sides of the triangle. (not on the vertices). (i) How many lines can be drawn joining 2 of these nine points? [3 marks] (ii) Find the number of different triangles that can be formed using of 3 of these nine points as vertices. [3 marks]
Answers
The number of lines and triangles illustrates combination
36 lines can be drawn to join the nine points84 triangles can be drawn using the nine pointsThe number of lines that can be drawn
The given parameters are:
Total points, n = 9
Total points on each line, r = 2
The number of lines that can be drawn is then calculated using the following combination formula
Lines = nCr
This gives
Lines = 9C2
Evaluate the combination expression
Lines = 36
Hence, 36 lines can be drawn to join the nine points
The number of triangles that can be drawnThe given parameters are:
Total points, n = 9
Total points on each triangle, r = 3
The number of triangles that can be drawn is then calculated using the following combination formula
Triangles = nCr
This gives
Triangles = 9C3
Evaluate the combination expression
Triangles = 84
Hence, 84 triangles can be drawn using the nine points
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Triangle DEF has side lengths d= 7.1 and f= 26.5. The measure of angle E is 13°. What is the length of side e? 31.9 19.6 4.7 162.3
Answers
Answer:
19.6
Step-by-step explanation:
According to the
Cosine Theorem
e² = d² + f² - 2dfcos /_E
°Cos 13° = 0.974
e² = (7.1) 2 + (26.5) 2-2 × 26 = 5 × 7.1 × 0.974
=752.66 - 366.516
= 386.14
e = 386.14 = 19.6
Freemont Run Club surveyed a random sample of
30
3030 of their members about their running habits. Of the members surveyed,
9
99 said that they run more than
5
55 days a week. There are
84
8484 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than
5
55 days a week?
Answers
Answer:
24 for estimate, the accurate is 25.2
Step-by-step explanation:
surveyed total = 30
9 = run 5> days a week
84 = total members
9/30 = percent of members who run 5> days a week
9/30 => 3/10
percent of members who run 5> days a week * total members = number of members who run 5> days a week
3/10 x 84 = 25.2 members
84 = 80
3/10 x 80 = 24
24, a reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week.
Ticket for football final selling well, on Thursday 4/7 of the tickets are sold, on Friday 1/4 of the tickets are sold, What fractions of tickets are available on Saturday?
Answers
Answer:
5/28
Step-by-step explanation:
1/1 represents the whole amount of tickets.
4/7 are sold on Thursday.
an additional 1/4 are did on Friday.
fraction of available tickets on Saturday are therefore
1/1 - 4/7 - 1/4 = 4/1 - 16/7 - 1/1 = 28/1 - 16/1 - 7/1 = 5/1
that means out of 28 equal parts of the total number of tickets 16+7 = 23 parts have been sold.
so, there are only 5 out of the total 28 parts available on Saturday, and the fraction of available tickets is therefore 5/28.
we could have also tried to bring both fractions to the same denominator, and found that this is 28.
and then
4/7 + 1/4 = 4/4 × 4/7 + 7/7 × 1/4 =
= 16/28 + 7/28 = 23/28
and the whole is 28/28.
so we have 28/27 - 23/28 = 5/28 left.
surprise, surprise, it is the same result ...
Please help EDGINUITY 2022
Answers
Explanation:
6(103)= 618
618(5)= 3090
Simplify the exponential expression.
Answers
Given an interest rate of 12% compounded yearly, Find the equivalent rate per year compounded monthly.
Answers
Answer:
Answer below in the picture
I hope my answer helps.
Nixon recycles 6 cans every week. Which expression shows the total number of cans he recycles in w weeks? (1 point)
O a
6+ w
.
b
6 + 5w
Oc
w
6
Od
бw
Answers
Answer:I don’t understand but I think it’s b
Step-by-step explanation:
Help me pls math and will make brainless
Answer 7. Pls !!!
Answers
24x15=360
if z=-1-v3i and 26 = a +bi, then a =
and =
Answers
why do the leaves drop?
Answers
Why do the leaves drop:
Dropping them gives the plant a fresh start in the spring (naturally)environmental stress, diseaseHope that helps!
Find the value of x, if C is on line AE
Answers
Answer:
x = 11°
Step-by-step explanation:
Linear Pair
Two angles adjacent to each other that form a straight line.
The sum of angles of a linear pair is always equal to 180°.
⇒ m∠C = 180° - 33° = 147°
Alternate Interior Angle Theorem
When two parallel lines are cut by a transversal, the alternate interior angles are congruent.
From inspection of the diagram, we can see that AB ║ DC.
Therefore, AE is the transversal.
So m∠A = 33°
Sum of interior angles of a triangle is 180°
Therefore, the top angle of the triangle = 180° - m∠A - 2x
= 180° - 33° - 2x
= 147° - 2x
Angles around a point add up to 360°
⇒ 33° + m∠C + 5x + (147° - 2x) = 360°
⇒ 33° + 147° + 5x + 147° - 2x = 360°
⇒ 327° + 3x = 360°
⇒ 3x = 33°
⇒ x = 11°
Answer:
x = 11°
Explanation:
m∠C = m∠A = 33°m∠B = 2(x)m∠I = 180° - 5(x)============ [ total interior angle in a triangle is 180° ]
solve for x
33° + 2(x) + 180° - 5(x) = 180°-3(x) = 180° - 213°-3(x) = -33°x = 11°At the popular restaurant fire wok 55% of guests order the signature dish what fraction of guests order the signature dish?
Answers
Answer:
The simplest fraction is 11/20
Step-by-step explanation:
Given that,
Guests order the signature dish is 55%.
We need to find simplest fraction of guests who order signature dish.
Let the fraction be X.
According to above information, calculation of data are as follows,
x=55/100
x=11/20
So, the simplest fraction of guests is 11/20
Learn more : brainly.com/question/13173500
Which of the following is a person who supports or believes in the philosophy of communism?
A. Communist
B. Nihilist
C. Fascist
Answers
Answer:
ITS DEFINITELY AStep-by-step explanation:
Simplify the expression. –(3)–4
a)12
b)[tex]-\frac{1}{81}[/tex]
c)81
d)[tex]\frac{1}{81}[/tex]
Answers
Answer:
Answer is {C}
Step-by-step explanation:
ANSWER QUICK FOR A. AND B. !
Answers
Answer: a=4
b=1600x
Step-by-step explanation:
If y varies inversely as x and y=37 when x=33, find y if x=5
Answers
Answer: y=6
Explanation:
Which linear line equation has no solution?
Answers
Answer:
4x+7=3x+7
Step-by-step explanation:
-3(2x-5)=15-6x is infinite solution
top left is x=-3
top right is x=5 5x
The rate of decay in the mass, M, of a radioactive substance is given by the differential equation dM dt equals negative 1 times k times M , where k is a positive constant. If the initial mass was 150g, then find the expression for the mass, M, at any time t
Answers
Using separation of variables, it is found that the expression for the mass, M, at any time t, is given by:
[tex]M(t) = 150e^{-kt}[/tex]
What is separation of variables?In separation of variables, supposing a differential equation in the format [tex]\frac{dy}{dx}[/tex], we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.
In this problem, the differential equation is:
[tex]\frac{dM}{dt} = -kM[/tex]
Then, applying separation of variables:
[tex]\frac{dM}{M} = -k dt[/tex]
[tex]\int \frac{dM}{M} = \int -k dt[/tex]
[tex]\ln{M} = -kt + C[/tex]
[tex]M(t) = M(0)e^{-kt}[/tex]
The initial mass is of M(0) = 150, hence:
[tex]M(t) = 150e^{-kt}[/tex]
More can be learned about separation of variables at https://brainly.com/question/14318343
In the graph z1 and z2 are complex numbers represented as vectors from the origin. What is z2-z1?
Answers
Finding the complex numbers and subtracting them, it is found that z2 - z1 = (0, -4).
What are complex numbers?They are in the format:
z = a + bi.
In which:
a is the real part.b is the imginary part.In a graph, the real part is the horizontal axis, while the imaginary part is the vertical axis. Hence, the numbers are given by:
z1 = (2,5).z2 = (2,1).What is the subtraction?To find the result of the subtraction, we subtract each part, hence:
z2 - z1 = (2,1) - (2,5) = (2 - 2, 1 - 5) = (0, -4).
More can be learned about complex numbers at https://brainly.com/question/25572463
Find the product of (x - 5)2
-
O x2 + 10x + 25
O x2 - 10x + 25
O x2 - 25
-
O x2 + 25
Answers
Please help :) (its for my friend)
If your friend has 7 apples, you take 3. How much do you have?
Answers
Hope this helps!!
