4. If m3 = 54°, find the measure of each missing angle
Answer:Answer/Step-by-step explanation:
Given that m<3 = 54°
a. <1, <2, and <3 are angles on a straight line. They add up to 180°.
m<3 is given as 54°, m<2 = 90°, therefore,
m<1 = 180 - (54 + 90) = 180 - 144
m<1 = 36°
b. <2 is indicated as a right angle. Therefore, m<2 = 90°
c. <1 and <4 are vertical opposite angles. Vertical angles are congruent, since m<1 = 36°, therefore, m<4 = 36°
d. <5 and <2 are vertical opposite angles. m<2 = m<5, therefore, m<5 = 90°
e. <6 and <3 are vertical opposite angles. m<3 = m<6, therefore, m<6 = 54°
f. m<7 + m<6 = 180° (same side interior angles are supplementary)
m<7 = 180 - m<6
m<7 = 180 - 54
m<7 = 126°
g. m<7 + m<8 = 180° (linear pair)
126° + m<8 = 180
m<8 = 180 - 126
m<8 = 54°
h. m<9 = 180 - m<8 (linear pair)
m<9 = 180 - 54
m<9 = 126°
i. m<10 = m<8 (vertical angles)
m<10 = 54°
j. m<11 = m<4 (alternate interior angles are congruent)
m<11 = 36°
k. m<12 = 180 - m<11 (linear pair)
m<12 = 180 - 36
m<12 = 144°
l. m<13 = m<11 (vertical angles)
m<13 = 36°
m. m<14 = m<12 (vertical angles)
m<14 = 144°
Step-by-step explanation:
Answer:
A. M<1 = 36°
B. M<2= 90°
C. M<4= 36°
D. M<5= 54°
E. M<6= 54°
F. M<7= 126°
G. M<8= 54°
H. M<9= 126°
I. M<10 = 54°
J. M<11 = 36°
K. M<12 = 144°
L. M<13= 36°
M. M<14 = 144°
Your welcome
the table below shows different possibilites for the number of games a team would need to win to maintain a certain percentage of wins
Answer:
here hope this helps please mark brainly
Step-by-step explanation:
Heelllllppppppppp me please in neeeeed
Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 4, 7, 9, 12, ...
Answer:
no
Step-by-step explanation:
the sum of 4+7+9+12=32
32/4= 8
8 is not part of the sequence. Therefore its not arithmetic.
LET ME KNOW IF I GOT THEM ALL RIGHT PLS
Answer:
I think so
Step-by-step explanation:
The problem is in the picture
Answer
r=10
Step-by-step explanation:
A rectangle has a perimeter of 32 in. Find the length and width of the rectangle under which the area is the largest.
a. Let the width to be x and the length to be y , then the quantity to be maximized is (expressed as a function of both x and y) A=_____
b. The condition that x and y must satisfy is y=______
Answer:
Length of the rectangle is 8 in and the breadth is 8 in.
a. [tex]A=xy[/tex]
b. [tex]y=16-x[/tex]
Step-by-step explanation:
Length = x
Breadth = y
Area is given by [tex]A=xy[/tex]
Perimeter of rectangle is given by
[tex]2(x+y)=32\\\Rightarrow x+y=16\\\Rightarrow y=16-x[/tex]
The condition that x and must satisfy is [tex]y=16-x[/tex]
So, area is
[tex]A(x)=x(16-x)\\\Rightarrow A(x)=16x-x^2[/tex]
Differentiating with respect to x we get
[tex]A'(x)=16-2x[/tex]
Equating with zero
[tex]0=16-2x\\\Rightarrow x=\dfrac{16}{2}\\\Rightarrow x=8[/tex]
Double derivative of A(x)
[tex]A''(x)=-2[/tex]
So [tex]A''(x)<0[/tex] which means [tex]A(x)[/tex] is maximum at [tex]x = 8[/tex]
[tex]y=16-x=16-8\\\Rightarrow y=8[/tex]
So length of the rectangle is 8 in and the breadth is 8 in.
You buy a book for $12 and a CD for $6. You hand a sales cleck a $20. How much change should you get back?
Answer:
20-12-6=2
Step-by-step explanation:
why is this in college math bruh
Answer:
You should get $2 in change
Step-by-step explanation:
Given: AB ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate:
Answer:
Step-by-step explanation:
Given that
AB n GF = O
E ∈ ∠GOB
H ∈ ∠AOF
The we can say, using similar angles or triangles, that
BF = AG
EG = AH
BG = FA
Louise Bourgeois obtained a $3,200 installment loan for a marble floor in her foyer. The
annual percentage rate is 9%. She must repay the loan in 24 months. Find the (a) monthly
payment using the formula, (b) total amount repaid, and (c) the finance charge.
A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. , 6, 46, 21, 9, 21, 5143 Find the range of the data set.
Answer:
5137
Step-by-step explanation:
In the past month, Boris rented 5 video games and I DVD. The rental price for each video game was $3.30. The rental price for the DVD was $4.70. What is the
total amount that Boris spent on video game and DVD rentals in the past. First person to answer correctly will be marked as brainliest ;)
Answer:
$21.2
Step-by-step explanation:
3.30*5+4.70*1=21.2
X intercept for -3x+10
Answer:
(10/3, 0)
Step-by-step explanation:
PLEASE ANSWER THESE I'M NOT SURE HOW TO DO IT TYSMMMMM
Answer:
your answer is 234
Step-by-step explanation:
The total degree inside the triangle is 360.
Add 104 and 22 to gt 126, and subtract from 360 to get the angle value of x, which is 234 degrees.
which of the ordered pairs is a solution to the system of inequalities?
evaluate a+b for a= -9 and b=6
Answer:
-9+6=-3
Step-by-step explanation:
7474 divide 6 answer pleasee
Answer:
7474/6=1245 2/3
What is the value of x?
7.5/x= 30/16
Answer:
4
Step-by-step explanation:
I divided 30/16 and got 1.875, then I knew that 7.5 would have to have the same answer. I did a process of elimination by dividing 7.5 by numbers at random and finally divided by 4 and got the answer. Another way to get the answer would be to cross multiply the equation.
Q4: Write the equation in slope-intercept form of the line that is perpendicular to
the graph of each equation and passes through the given point.
y = -5x + 1; (2, -1)
Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is [tex]\frac{1}{5}[/tex] ;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 = [tex]\frac{1}{5}[/tex] x (-1) + c
c = 2 + [tex]\frac{1}{5}[/tex] = [tex]\frac{11}{5}[/tex]
The equation of the new line is;
y = [tex]\frac{1}{5}[/tex]x + [tex]\frac{11}{5}[/tex]
or multiply through by 5;
5y = x + 11
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
[tex](\frac{x1 + x2}{2}, \frac{y1+y2}{2}[/tex])
Step-by-step explanation:
36% of what is 180? The answer is
Answer:
not 36 but 64.8
Step-by-step explanation:
filler filler filler filler
Answer:20%
Step-by-step explanation:
Convert fraction (ratio) 36 / 180 Answer: 20%
What is the scale factor and center of dilation?
Mrs. Frazier had 95 inches of ribbon. She gave 14.4 inches to Sara and 27.8 inches to Mary. If she divides the remainder between Jenny and Susie, how much will each girl receive? pls help
Answer:
26.4
Step-by-step explanation:
95-14.4-27.8=52.8
52.8/2=26.4
Hope I helped!
Please mark Brainliest!!!
The selling price of lumber at Home Depot is $4,000, percent markup on cost is 30%. Calculate the actual cost. (Round your answer
to the nearest cent.)
Step-by-step explanation:
Selling Price=$4000
Profit Percent=30%
Cost Price;
[tex] \frac{100}{100 + pp} \times 4000 [/tex]
[tex] \frac{100}{100 + 30} \times4000 [/tex]
[tex] \frac{100}{130} \times 4000 [/tex]
[tex] \frac{10}{13} \times 4000[/tex]
[tex] \frac{40000}{13} [/tex]
$3,076.923
=$3,077.000
I am not really Good at rounding forgive me Confirm from someone please.
PLEASE HELP ASAP I WILL GIVE BRAILY AND 25 POINTS... write an expression equivalent to 4x + 12 using the distributive property
Answer:4x + 12 = 2 ( 2x + 6)
Step-by-step explanation:
Henry wrote a total of 12 pages over 4 hours. How many hours will Henry have to spend writing this week in order to have written a total of 15 pages? Assume the relationship is directly proportional.
Answer:
5 hours.
Step-by-step explanation:
12 ÷ 4 = 3. 3 pages an hour, which would mean 5 hours to write a total of 15 pages.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Just answer number 1
M<7=30 ,m<2 ?
Answer:
Step-by-step explanation:
1). ∠7 ≅ ∠ 2 (alternate exterior)
m∠7 = m∠2 = 30°
2). ∠4 and ∠1 are supplementary angles
m∠1 = 180° - 72° = 108°
Part B
Does this curved line represent a function? if not at what points does it fall the vertical line test?
Answer:
This graph does not represent a function. Two points where it fails the vertical line test are (0, 0) and (0, 1).
Step-by-step explanation:
This is the exact answer edumentum gave me. be careful, i got this wrong.
What is the length to XY? Enter only the number as an integer or decimal.
Answer:
11.25
Step-by-step explanation:
it is a dialation of 2.25:
12 x 2.25 = 27
and
8 x 2.25 = 18
so...
5 x 2.25 =
11.25
In the middle school debate club, 40% of the members are in sixth grade. If there are 12 sixth graders in the debate club, how many total members are there?
Answer 30
Step-by-step explanation:
I Just had a Test and it asked me that and I got an 100