Answers
Angles in a transversal can be congruent either by theorems of corresponding and vertical angles.
The measure of the angles are:
[tex]\angle 1 = 97^o[/tex]
[tex]\angle 2 = 83[/tex]
[tex]\angle 3 = 66[/tex]
[tex]\angle 4 = 114^o[/tex]
[tex]\angle 5 = 83^o[/tex]
[tex]\angle 6 = 97^o[/tex]
[tex]\angle 7 = 114^o[/tex]
[tex]\angle 8 = 66^o[/tex]
[tex]\angle 9 = 97^o[/tex]
[tex]\angle 10 = 83[/tex]
[tex]\angle 11 = 66[/tex]
[tex]\angle 12 = 114^o[/tex]
[tex]\angle 13 = 83^o[/tex]
[tex]\angle 14 = 97^o[/tex]
[tex]\angle 15 = 114^o[/tex]
[tex]\angle 16 = 66^o[/tex]
Given that:
[tex]\angle 9 = 97^o[/tex]
[tex]\angle 12 = 114^o[/tex]
The following angles are congruent by theorem of vertical angles.
[tex]\angle 9[/tex] and [tex]\angle 14[/tex]
[tex]\angle 12[/tex] and [tex]\angle 15[/tex]
So, we have:
[tex]\angle 14 = 97^o[/tex]
[tex]\angle 15 = 114^o[/tex]
Apply the theorem of angles on a straight line, we have:
[tex]\angle 9 + \angle 10 = 180[/tex]
[tex]\angle 11 + \angle 12 = 180[/tex]
So, we have:
[tex]\angle 10 = 180 - 97[/tex]
[tex]\angle 10 = 83[/tex]
[tex]\angle 11 = 180 - 114[/tex]
[tex]\angle 11 = 66[/tex]
The following angles are congruent by theorem of vertical angles.
[tex]\angle 10[/tex] and [tex]\angle 13[/tex]
[tex]\angle 11[/tex] and [tex]\angle 16[/tex]
So, we have:
[tex]\angle 13 = 83^o[/tex]
[tex]\angle 16 = 66^o[/tex]
The following angles are congruent by theorem of corresponding angles.
[tex]\angle 9[/tex] and [tex]\angle 1[/tex] [tex]\angle 13[/tex] and [tex]\angle 5[/tex] [tex]\angle 10[/tex] and [tex]\angle 2[/tex]
[tex]\angle 14[/tex] and [tex]\angle 6[/tex] [tex]\angle 11[/tex] and [tex]\angle 3[/tex] [tex]\angle 15[/tex] and [tex]\angle 7[/tex]
[tex]\angle 12[/tex] and [tex]\angle 4[/tex] [tex]\angle 16[/tex] and [tex]\angle 8[/tex]
So, we have:
[tex]\angle 1 = 97^o[/tex]
[tex]\angle 4 = 114^o[/tex]
[tex]\angle 6 = 97^o[/tex]
[tex]\angle 7 = 114^o[/tex]
[tex]\angle 2 = 83[/tex]
[tex]\angle 3 = 66[/tex]
[tex]\angle 5 = 83^o[/tex]
[tex]\angle 8 = 66^o[/tex]
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Related Questions
Cami and Joe each began saving money for a
new computer. Cami saves $5 per week plus $50
she receives for her birthday. Joe saves $7 per
week. After how many weeks will they have the
same amount of money saved?
Answers
Answer:
twelve weeks
Step-by-step explanation:
What is 10+4(-8q-4) simplified into an equation
Answers
Answer:
-32-6
Step-by-step explanation:
this is your answer
sort each equation according to wether it has one solution, infinitely many solutions, or no solution
5(x - 2)=5x-7
-3(x - 4)=-3x+12
4(x+1)=3x+4
-2(x - 3)=2x-6
6(x + 5)=6x+11
Answers
Answer:
5(x - 2)=5x-7 has no solution
-3(x - 4)=-3x+12 infinitely many solutions
4(x+1)=3x+4 no solution
-2(x - 3)=2x-6 infinitely many solution
6(x + 5)=6x+11 no solution
Step-by-step explanation:
5(x - 2)=5x-7
-3=0
-3(x - 4)=-3x+12
0=0
4(x+1)=3x+4
x=0
-2(x - 3)=2x-6
0=0
6(x + 5)=6x+11
30=11
I hope this helps.
y= 2x2 – 9x + 8
Deter sin the number of solutions for quadratic equation
Answers
Well if it is a quadratic equation, then it has 2 solutions
Do you need the solutions or just the number of solutions?
what is the value of (10 - 6) over 2 + 6 times 2 - ( 3 + 2) over 2
Answers
Answer:
-.25 or - 1/4
Step-by-step explanation:
simplify the following expressions using distributive property of multiplication 4(3x-1)
Answers
Answer:
multiplication 4(3x-1)
12x-4
Right before a snow storm the hardware store sold
fifteen shovels in sixty minutes. At that rate the store
solda shovel every minutes.
Answers
Answer:
4
Step-by-step explanation:
60/15=4
The rate of change is 1/4 shovels/ minute of 0.25 shovels/ minute.
What is rate of change?Rate of change is the increase or decrease of any property with respect to any other property, when rate of change is studied for a time duration, the ratio of the difference in the property from initial state to its value at the end of the time duration is divided by the total time.
For an expression, the rate of change is determined by differentiation.
The hardware store sold 15 shovels in sixty minutes.
The number of shovels sold is 15.
The time duration in which the shovels are sold is 60 minutes.
The rate of the shovels sold every minute has to be determined.
Rate = ( No. of shovels sold) / Time duration
Substituting the values
Rate = 15 /60
Rate = 1/4
Rate is 1 shovel sold every 4 minute.
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how are intergers used to represent real world situations.
Answers
Answer:
Integers are always whole values such as 4, 10, or 58. They can represent something that can't be partial. (hope this was what you were looking for!)
if you multiply me by 5 and subtract 6 from me you get 14. what number am I.
Answers
Answer:
tje answer is 4
Step-by-step explanation:
4x5=20
20-6=14
Jamari writes a number that is the same distance from 0 to 6 on a number line, but in the opposite direction. What number did Jamari write
Answers
Answer:
-6
Step-by-step explanation:
Jamari starts at 0 and goes to 6 but its in the negatives, anything behind the zero (0) going left we always be smaller (<) so the number he wrote was -6.
There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags? a. 900 raisins b. 935 raisins c. 1,020 raisins d. 1,056 raisins
Answers
Answer:
C
Step-by-step explanation:
We can divide the number of raisins by 8 because there are 8 bags (680÷8) which would be 85. Next we multiply the 85 by 12 because we need to find out the number of raisins in 12 bags (85×12), which would give us 1,020.
A line has a y-intercept of 8 and a slope of 4. What is its equation in slope-intercept form?
Answers
Answer:
y = 4x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 and c = 8 , thus
y = 4x + 8 ← equation of line
The equation in slope-intercept form is y = 4x+8
What is the equation of a line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Given that, a line has a y-intercept of 8 and a slope of 4.
We know that, the general equation of a line is given by, y = mx+c
where m is slope and c is the y intercept,
Here, m = 4 and c = 8
Therefore, the equation can be, y = 4x+8
Hence, The equation in slope-intercept form is y = 4x+8
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2. An article in the Journal of the American Medical Association reports the results of a
study designed to see if the herb St. John's wort is effective in treating moderately
severe cases of depression. The study involved 338 patients who were being treated
for major depression. The subjects were randomly assigned to receive one of three
treatments: St. John's wort, Zoloft (a prescription drug), or placebo (an inactive
treatment) for an 8-week period. The two way table summarizes the data from the
experiment
Treatment
a. What proportion of subjects in the study were
St. John's
randomly assigned to take St. John's wort?
wort Zoloft Placebo
Explain why this value makes sense.
Full
27 27
The proportion of subjects in the study that were randomly assigned
response
to take St. John's wort is about 1/3 (113/338).
Change in Partial
16 26 13
depression response
No
70 56 66
b. Find the distribution of change in depression
response
for the subjects in this study using relative
frequencies.
37
1
C. What percent of subjects took Zoloft and showed a full response?
Answers
Answer:
a. 113/338
b. The relative frequency distribution is presented as follows;
[tex]{}[/tex] St. John's wort Zoloft Placebo
Full response [tex]{}[/tex] 27/91 27/91 37/91
Partial response [tex]{}[/tex] 16/55 26/55 13/55
No response [tex]{}[/tex] 35/96 7/24 11/32
c. 29.67%
Step-by-step explanation:
a. The proportion of subjects assigned to take St. John wort is found as follows;
The total number of subjects = 27 + 27 + 37 + 16 + 26 + 13 + 70 + 56 + 66 = 338 subjects
The number of subjects assigned to take St. John wort = 27 + 16 + 70 = 113
The proportion of subjects assigned to take St. John wort = 113/338
b. The distribution of change in depression response using relative frequency is found as follows;
Total full response = 27 + 27 + 37 = 91
Total partial response = 16 + 26 + 13 = 55
No response = 70 + 56 + 66 = 192
[tex]{}[/tex] St. John's wort Zoloft Placebo
Full response [tex]{}[/tex] 27/91 27/91 37/91
Partial response [tex]{}[/tex] 16/55 26/55 13/55
No response [tex]{}[/tex] 35/96 7/24 11/32
c. The percentage of subjects that took Zoloft and showed full response is given as follows;
The percentage of subjects that took Zoloft and showed full response = 27/91 × 100 = 29.67%
can somebody help me find the slope of this line?
Answers
Answer:
the slope is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The slope of the line is 3
Helpppppppppppppppppopp
Answers
▪ Answer:
+ 16
▪ Step-by-step explanation:
Hi there !
(-2)^4 =
= (-2)(-2)(-2)(-2)
= (4)(-2)(-2)
= (-8)(-2)
= + 16
Good luck !
(-)(-) = +
(-)(+) = -
Kylie is shopping for Christmas presents for her friends. Her budget is $100 this year. She wants to buy $15 gift cards per friend, plus the $10 she spent on regular cards total. How many gift cards can she buy?
Answers
Answer: 6
Step-by-step explanation: If you subtract 10 from 100, you get 90, which is the total amount she can spend on gift cards. Divide 90 by 15, and you get 6.
An equation that crosses the Y axis at -5 and crosses the X axis at five
Answers
Answer:
y = x - 5
Step-by-step explanation:
Slope-intercept formula:
y = mx + bThe value of b already given, it is -5, so
y = mx - 5Points as per description:
(0, -5) and (5, 0)The slope is:
m= (y2 - y1)/(x2 - x1) = (0+5)/(5-0) = 1Then we get the formula:
y = x - 5Can I get the answers plz
Answers
Answer:
1) yes
2) yes
3) no
What is the domain and range of the graph?
Answers
Answer:
B
Step-by-step explanation:
XYZ has been bisected. Find the measurement of XYZ if m2 = 40°
Answers
Answer:
baby I'm a different yea yea yea yea ye
Karim wants to buy a shirt that normally sells for $46.50. It is on sale for One-third off. How much does Karim need to pay to buy the shirt on sale?
Answers
Answer:
Step-by-step explanation:
First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)
I took away the one third I divided from it (46.50-15.50=31)
I got 31 dollars as my final answer.
Now Karim needs to buy the shirt for $31.
Answer:
$31
Step-by-step explanation:
Price of the shirt normally: $46.50
Deduction in the price when it's 1/3 off: 1/3 * $46.50 = $15.50
amount that Karim needs to pay to buy the shirt:
Price of the shirt normally - Deduction in price when it's 1/3 off =
$46.50 - $15.50 = $31.00
Find the width of a rectangle is the perimeter is 56 cm and the length is 15 cm.
help ?
whats the formula for this
Answers
Answer:
13cm
Step-by-step explanation:
P=2l+2w
56=2(15)+2w
56=30+2w
26=2w
w=13
I have number 10 done but can someone help me out with 11?
Answers
Answer:
x=5
Step-by-step explanation:
opposite angles are the same, so the small ones are 15. 180-30=150
150/2=75 75/15=5
Solve for x: 1-2(x+1) = x+6
Answers
Answer:
Exact Form: x= - 7/3
Hope this helped! If you ever need anymore help feel free to ask. :)
Glr to precisando muito da ajuda de alguém com isso aqui, pfv
Answers
Answer:11
Step-by-step explanation:
what is 3000 divided by 5000 subtracted from 200 plus 921
Answers
Answer:
1120.4 is what I got
Step-by-step explanation:
3000÷5000-200+921=721.6
answer is 721.6
Which statements are true about the solution of 15 > 22 + x? Select all that apply.
A.
-6 is part of the solution.
B. x < -7
c. Thegraph has a closed circle.
D. x > -7
E.
-7 is part of the solution.
Answers
Answer:
B
Step-by-step explanation:
15>22+x
or, -x+15>22
or, -x>22-15
or, -x>7
or, x<-7 is your answer.
what is quotient of 6,484÷24
Answers
Answer:
270.16 repeated (only the 6 repeats there is only one 1)
Step-by-step explanation:
Answer: 6,484÷24=270 R 4
The actual length of a full-size school bus is 40 feet. Which toy school bus is built to a scale of 1inch = 5 feet?
Answers
Answer:
well
Step-by-step explanation:
40 ÷ 5 = 8
so the answer should be an 8 inch toy bus
Please help ! Easy 7th grade work ! I’ll give brainliest
Answers
Answer:
for the first one... 24
Step-by-step explanation:
im in 7th grade pls mark brainliest <3
Answer: i need to find my dad please help his name is candice
Step-by-step explanation:
