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Explanation:
Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.
Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.
Since angle 3 is 55 degrees, angle 1 is also 55 degrees.
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Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)
In other words,
(angle ABJ) + (angle ABF) = 180
angle ABF = 180 - (angle ABJ)
angle ABF = 180 - (angle 1)
angle ABF = 180 - (55)
angle ABF = 125 degrees
The Thompson’s went out to eat at the Cheesecake Factory. If their bill was $68.65 and they gave their server a 15% tip, how much did they pay altogether?
Answer:
$78.94
Step-by-step explanation:
15% = 0.15
multiply to the total (68.65)
0.15 × 68.65 = 10.2975
$68.65 + 10.2975 = $78.94
MARK ME AS THE BRAINLIEST ANSWER PLEASE ❤️
Which undefined term is used to define an angle?
line
plane
point
ray
The undefined term is point.
What is an angle?In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.
Parts of an Angle
There are two main parts related to an angle - the arms and the vertex.
Arms of the Angle
The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.
[tex]vertex[/tex]of the angle
[tex]vertex[/tex] is a common endpoint that is shared by the two rays. Observe the figure in which the [tex]vertex[/tex] O is marked as the joining point of the two arms.
Measure of an angle
An angle is measured in degrees. One full rotation around a point forms a complete angle of 360°.
As, the is defined on the basis of arms , vertices, measurement.
They all related to point and point doesn't have a particular definition.
Learn more about angle here:
https://brainly.com/question/13954458
#SPJ2
What is the perimeter of a trapezoid?Units
+3x-4x what is the answer for this equation
Answer:
[tex]-x[/tex]
Step-by-step explanation:
[tex]3x-4x = -1x[/tex]
Hope this helps
What is the volume of this triangular prism? A triangular prism. The triangular base has a base of 28 centimeters and height of 22.4 centimeters. The height of the prism is 18.1 centimeters. 313.6 506.8 5,676.16 11,352.32
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Answer:
5676.16 cm³
Step-by-step explanation:
A bag contains 8 red balls and 6 blue
balls.
Radhika takes three balls at random
from the bag, without replacement.
Calculate the probability that the three
balls are the same colour. *
Answer:
The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Step-by-step explanation:
Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:
8 + 6 = 14
14 = 100
8 = X
8 x 100/14 = X
800/14 = X
57.14 = X
100 - 57.14 = 42.86
0.5714 ^ 3 = X
0.1865 = X
0.4286 ^ 3 = X
0.0787 = X
Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
altogether i have 10 bags of sweets. the mean number of sweets in the bag is 40
Answer the question : I don't get what the question is suppose to be
Step-by-step explanation:
Another Easy One, 50 points and a brainliest to anyone who gives the best answer.
[tex]5^{-2}=\frac{1}{5²}[/tex]
Answer:
Solutions given:
[tex]5^{-2}=\frac{1}{5²}[/tex]
since
we have rule of indices
[tex]x^{-a}=\frac{1}{x^{a}}[/tex]
Answer: It's 1/25 or 0.04 That's what I got
Step-by-step explanation:
Since 1/5^-2 = 0.04 I think its the first one
Thank you to the person that is helping me. I don’t understand this one at all..
pleaseee help me with this questionnn
Answer:
itss8tsz85sz85s,85s,8td,8td,85dz85dzd85e,7554334567
Step-by-step explanation:
otdxd8td 8td 85sx8ts,ts8,8ts,8td,88ts8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,,8ts8ts,8t,s8ts,8tz8txdxtitixtxtidittdxdctiti dttxdididez6z84gfiwz84wz85wzy0dcydcydc6dctr456887654
I need help with this math question: 15x+ 60 < 240
12
15x + 60 <240
-60
15 veces <180/15
x <12
Step-by-step explanation:
Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=x ^5-3x^3
Answer:
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
Step-by-step explanation:
[tex]f(x)=x^5-3x^3[/tex]
[tex]0=x^5-3x^3[/tex]
[tex]x^5-3x^3=0[/tex]
[tex]x^3(x^2-3)=0[/tex]
[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
See the graph for a visual of the x-intercepts.
Mikey Johnson shipped out 41 1/4 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 3/4 pounds each . How many packets did he ship out?
Answer:
15
Step-by-step explanation:
Number of packets shipped out = total weight of electrical supplies / weight of individual packets
[tex]41\frac{1}{4}[/tex] ÷[tex]2\frac{3}{4}[/tex]
to solve convert the mixed fractions to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{165}{4}[/tex] ÷ [tex]\frac{11}{4}[/tex]
[tex]\frac{165}{4}[/tex] × [tex]\frac{4}{11}[/tex] = 15
The piecewise defined function f(x) is graphed below. What is the value of f(5)?
================================================
Explanation:
Draw a vertical line through 5 on the x axis. This represents the equation x = 5. Notice that we intersect the blue line at (5,-1) which tells us that f(5) = -1. There's a closed point here, meaning that the point is included. This is in contrast to the open hole at (5,3) which is not part of the function. So be careful not to say that f(5) = 3 because that's not the case.
Answer:
i think it's f(5) - a wild guess
Step-by-step explanation:
A right-angled triangle D E F, angle E marked right angle, side E F labeled 7, side D E labeled 24 and hypotenuse D F labeled 25.
Answer:
Ya está resuelto ya
Step-by-step explanation:
Frank is making chocolate chip pancakes for his whole family. He wants to make 20 pancakes using a 3-cup bag of chocolate chips. How many cups of chocolate chips will be in each pancake? Write your answer as a proper fraction or mixed number.
im pretty sure that the answer is 6 2/3
What is the area of the sail?
Answer:
I agree other students
Step-by-step explanation:
congrats
Solve 16x + 8 ≥ 12x + 20
Answer:
x ≥ 4
Step-by-step explanation:
16x + 8 ≥ 12x + 20
Subtract 12 from both sides
4x + 8 ≥ 20
Subtract 8 from both sides
4x ≥ 16
Divide both sides by 4
x ≥ 4
What is the sum of 3/10 and 1/3
Answer:
19/30
Step-by-step explanation:
3/10 + 1/3
Get a common denominator of 30
3/10 * 3/3 + 1/3 * 10/10
9/30 + 10/30
19/30
Answer:
19 / 13
Step-by-step explanation:
➟ 3 / 10 + 1 / 3
➟ 3 / 10 × 3/3 + 1 /3 × 10 /10
➟ 3 × 3 / 10 × 3 + 1 × 10 / 3 × 10
➟ 9 / 30 + 10 / 30
➟ 9 + 10 / 30
➟ 19 / 30
6.2x6.2x6.2x6.2=1,477.6336 HOW DOES IT BECOME THAT
Answer:
So, you multiply them.
Step-by-step explanation:
Try it yourself….. Use table multiplication or somthin
Answer:
Well 6.2 x 6.2 is 38.44 and if you do 38.44 x 38.44 it is 1,477.6336
HELPPP! Which answer.
A: It shows a positive correlation
B: It shows a negative correlation
C: It shows no correlation
D: As fouls increase, points decrease
Answer:
most likely C
Step-by-step explanation:
the overall shape the points make don't go in any particular direction other than sideways, so there doesn't seem to be a particular correlation
How many quarters does Annie have
A.35
B.49
C.3
D.7
Answer:
n = 7
Step-by-step explanation:
sarah = m
annie = n
sarah has 21 more than annie
m = 21+n
given sarah has 28 quareters
m = 21 + n
28 = 21 + n
28 - 21 = n
7 = n
annie has 7 quarters.
how do you do this?
Answer:
by increasing the size ez
Write as an equation in two variables: k(x) = -4x-1
Answer:
y = -4x - 1
Step-by-step explanation:
k(x) = -4x - 1
replace k(x) with y
y = -4x - 1
Answer:
y = -4x - 1
Step-by-step explanation:
Peter wallpapered a wall that was 9 feet wide and 8 feet high. He had 27 square feet of wallpaper left over. How many square feet of wallpaper did he start with?
Answer:
99 square feet
Step-by-step explanation:
Because 8 times 9=72+27=99
Please help me ASAP tysm
Answer:
?
Step-by-step explanation:
100 POINTS HELP! THIS IS A PROJECT. NOT IN A RUSH.
Describe how to find the terms mean, median, mode, and range of a group of numbers.
Pretend you are a teacher trying to describe these terms to a student. Make sure you write as if you are the teacher and explain each term as if the student is learning this for the first time. Be descriptive and give examples. Make sure you include the data set (the group of numbers) you will be working with. Be sure to use complete sentences. Be creative!
Answer
Hello class!
Step-by-step explanation:
1. The mean is the average of a data set.
2. The mode is the most common number in a data set.
3. The median is the middle of the set of numbers.
Of the three, the mean is the only one that requires a formula. I like to think of it in the other dictionary sense of the word (as in, it’s mean as opposed to nice!). That’s because, compared to the other two, it’s not as easy to work with.
Solve for u.
U/-1 +-4=-1
U =
Answer:
U = -3
Step-by-step explanation:
U/-1 +-4=-1
Add 4 to each side
U/-1 +-4+4=-1+4
U / -1 = 3
Multiply each side by -1
U / -1 * -1 = 3* -1
U = -3
what two numbers multiply to -78 and add to -7
546 Is The Answer
#KeepOnLearning
Answer:
13 and -6 or 6 and -13
Step-by-step explanation:
Use systems of equations
Find three consecutive odd integers where the sum of the first two numbers multiplied by the last number is 3116.
a. -42, -44, - 46
b. None of these.
c. 37, 39, 41
d. 42, 44, 46
e. 33, 35, 37