Answers
Given :
segment AB = segment DEsegment BC = segment EFsegment AC = segment DFSince all sides are equal triangle ABC is congruent to triangle DEF under the SSS congruence criterion.
m∠B = (92+y)°
m∠E = (6y-28)°
We know that :
angle B = angle EWhich means :
[tex] = \tt92 + y = 6y - 28[/tex]
[tex] =\tt 92 = 6y - 28 - y[/tex]
[tex] =\tt 92 = 5y - 28[/tex]
[tex] = \tt92 + 28 = 5y[/tex]
[tex] = \tt120 = 5y[/tex]
[tex] =\tt y = \frac{120}{5} [/tex]
[tex] =\tt y = 24[/tex]
Thus, the value of y = 24
Then :
angle B :
[tex] =\tt 92 + y[/tex]
[tex] =\tt 92 + 24[/tex]
[tex] = \tt116[/tex]
Thus, the measure of angle B = 116
angle E :
[tex] = \tt6y - 28[/tex]
[tex] =\tt 6 \times 24 - 28[/tex]
[tex] =\tt 144 - 28[/tex]
[tex] =\tt 116[/tex]
Thus, the measure of angle E = 116
Since the measure of both these angles is equal we can conclude that we have found out their correct measures.
measure of segment AC = 2x + 47
Measure of segment DF = 6x + 3
Segment AC = Segment EFWhich means :
[tex] = \tt6x + 3 = 2x + 47[/tex]
[tex] = \tt6x + 3 - 2x = 47[/tex]
[tex] = \tt4x + 3 = 47[/tex]
[tex] \tt4x = 47 - 3 \\ 4x = 44[/tex]
[tex] =\tt x = \frac{44}{4} [/tex]
[tex] =\tt x = 11[/tex]
Thus, the value of x = 11
Let us check whether or not we have found out the correct value of x by placing 11 in the place of x :
[tex] = \tt6 \times 11 + 3 = 11 \times 2 + 47[/tex]
[tex] =\tt 66 + 3 = 22 + 47[/tex]
[tex] =\tt 69 = 69[/tex]
m∠B = 69°m∠C = 69°Therefore, the value of x = 11Related Questions
If the sum of 20 numbers is 440, find the mean of the numbers.
Answers
Answer:
22
Step-by-step explanation:
mean= sum of observations/no: of observations
mean=440/2=22
please mark me brainliest
20 points!!!Please help HURRY!!!
Answers
Answer:
Definitely not!
Step-by-step explanation:
It was reflected across the x axis, resized and moved in x and y directions, but since the shape ABCD is symmetrical across the y axis, a reflection across y axis won’t change anything!
complete the equation ×1/12=5/12+5/12+5/12
Answers
Answer:
x/12=15/12
x=15it is the answer
what is y=− 2/9 x+2 written in standard form?
Answers
Answer:
2x+9y=18
Step-by-step explanation:
Distribute the denominator
y=-2/9x+2
9y=-2x+2
9y+2x=2
im sorry if this is wrong
4 (n-4) + 14
n = 5 btw
Answers
Answer:
=18
Step-by-step explanation:
5-4=1
1x4=4
4+14=18
hope it helped
Pls help me with math ASAP
Answers
Answer:
y = 5/2x - 5
Step-by-step explanation:
y-int = -5
slope = 5/2
rise/run
alright my friend i've gotta go but i think you can solve these on your own.
just use the number that's on the Y vertical line to find y-int
and then use 2 points and count up to find the rise and then count across to fine thet run.
use the formula y=mx+b
good luck my friend <3
Answer:
Step-by-step explanation:
(0,-5) (4,5)
(5+5)/(4-0)= 10/4 = 5/2
y + 5 = 5/2(x - 0)
y + 5 = 5/2x - 0
y = 5/2x - 5
a license plate that has 3 numbers from 0 to 9 and 2 letters
Answers
Answer:
what's the question there
Which is greater, 0.28 or 0.205? Explain how you know.
Answers
Answer:
Step-by-step explanation:
0.28 is roughly the same as 0.280, which has 3 significant digits (same as 0.205 has 3 significant digits). It's easier when we compare numbers having the same number of decimal places.
Comparing 0.280 to 0.205, we see that the hundredths place of 0.280 (which is 8) is greater than the hundredths place of 0.205 (which is 0). Thus 0.28 is greateer than 0.205.
Select all that apply.
Which graphed lines represent direct variation functions?
line a
line 6
linec
lined
Answers
Answer:
C and D
Step-by-step explanation:
Fossils show that
insects were much larger around 300 million
years ago than they are today. The table at
the right shows some of the wing lengths
found in fossils. How much longer was the
wing length of the dragonfly than the wing
length of the fly?
Answers
Answer:
The wing of the dragonfly was 9.65 cm longer than that of the fly, 102% larger in percentage terms.
Step-by-step explanation:
Since the length of the wing of the old dragonfly was 19.5 cm, while the length of the wing of a common fly is 9.85 cm, to determine how long the dragonfly's wing was compared to that of the fly, the following must be done calculations:
19.5 - 9.85 = X
9.65 = X
Thus, the wing of the dragonfly was 9.65 cm longer than that of the fly. In turn, in terms of percentages, the result is the following:
9.65 = 100
19.5 = X
19.5 x 100 / 9.65 = X
1950 / 9.65 = X
202 = X
Thus, in percentage terms, the dragonfly's wing was 102% larger than that of the current fly.
Do
5 cm
5 cm
20 cm
form a triangle
Answers
Answer:
Step-by-step explanation:
No. If two sides are 5cm the third side must be less than 2(5)=10cm
Answer: No, a triangle cannot be formed with these side lengths.
=========================================================
Explanation:
Recall that the triangle inequality theorem says that for a triangle to be possible, the sum of any two sides must be larger than the third side.
With these given side lengths, we can see that 5+5 = 10 is not larger than 20, so a triangle is not possible here. I recommend you try it out with 3 slips of paper of these lengths. You should find that the two 5 cm sides are too short to be able to connect to the 20 cm side properly.
(x^2 - 4)(x^2 + x - 12) = 0
Answers
Answer:
is that a T or F
Step-by-step explanation:
find the value of w and then x. round side lengths to the nearest tenth and angle measures to the nearest degree
Answers
Answer:
w = 7.7 units; x = 44°
Step-by-step explanation:
What are the coordinates of point A?
(8, –6)
(–6, 8)
(–5, 7)
(7, –5) marking brainiest
Answers
Answer:
Can you add an image of the points on a graph so I can help?
The following table shows a proportional relationship between j and m.
write an equation to describe the relation between j and m
Answers
Answer:
m=3/4 j or m = .75j
Step-by-step explanation:
i need help with this
Answers
How to divide 8 by 3 the long way
Answers
The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.
Answer:
The steps are more or less the same, except for one new addition:
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat
Step-by-step explanation:
The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.
Two weeks ago price was $220 now it's $325. What is the percent increase? What is percent increase if there is an additional $50 baggage fee with the new ticket price?
Answers
Answer:
68.18%
Step-by-step explanation:
325+50=375
375-220=155
155÷220×100%
≈68.18%
ice cream is served for dessert if Gio serves himself and 3 friends half a cup of ice cream how many total pints did Gio and his friends eat?
Answers
Answer:
0.25 pints
Step-by-step explanation:
To find how many pints they ate, find the number of pints in half a cup.
In 1 cup, there are 0.5 pints.
This means in half a cup, there will be 0.25 pints.
So, Gio and his friends ate 0.25 pints
Find the circumference of a circle that has a diameter of 5 inches. Use 22/7 for pi.
15 in.
22/35 in.
15 3/7 in.
15 5/7 in.
Answers
Answer:
step 1. The circumference (c) of a circle is equal to the diameter of a circle x pi. c = d(pi) = 5pi
step 2. c = 5pi = 5(22/7) = 110/7 = 15 5/7.
Determine the center of the circle whose equation is (x – 5)2 + (y + 7) = 14
Answers
Answer:58 approximately c
Step-by-step explanation:
Lara draws some triangle models with the measurements she wants to use to construct them. Which of these
triangle constructions would NOT be possible?
a triangle with side measurements of 3, 4, and 6 inches
a triangle with side measurements of 2, 3, and 5 inches
a triangle with side measurements of 3, 3, and 4 inches
a triangle with side measurements of 5, 5, and 5 inches.
Answers
Answer:
a triangle with side measurements of 5, 5, and 5 inches
Step-by-step explanation:
I took the test.
Construction of triangle with side measurement 2 inch, 3 inch, 5 inch is not possible.
What is triangle equality theorem?This theorem simply states that the sum of two sides of a triangle must be greater than the third side. If this is true for all three combinations, then you will have a valid triangle.
If triangle has the sides, a , b and c then
a + b > c
b + c > a
a + c > b
Given length of the sides,
a) Triangle made with sides having length 3 inch, 4 inch, 6 inch.
3 + 4 > 6 ; 4 + 6 > 3 ; 3 + 6 > 4
= 7 > 6 ; 10 > 3 ; 9 > 4
Triangle inequality theorem is satisfied, hence triangle construction is possible
b) Triangle made with sides having length 2 inch, 3 inch, 5 inch.
2 + 3 > 5 ; 3 + 5 > 2 ; 2 + 5 > 3
= 5 = 5 ; 8 > 3 ; 7 > 3
Triangle inequality theorem is not satisfied, hence triangle construction is not possible
a) Triangle made with sides having length 3 inch, 3 inch, 4 inch.
3 + 3 > 4 ; 3 + 4 > 3 ; 3 + 4 > 3
= 6 > 4 ; 7 > 3 ; 7 > 3
Triangle inequality theorem is satisfied, hence triangle construction is possible
a) Triangle made with sides having length 5 inch, 5 inch, 5 inch.
5 + 5 > 5 ; 5 + 5 > 5 ; 5 + 5 > 5
= 10 > 5 ; 10 > 5 ; 10 > 5
Triangle inequality theorem is satisfied, hence triangle construction is possible.
Hence, Triangle with side measurements of 2 inch , 3 inch , and 5 inch is not possible to construct.
Learn more about triangle inequality theorem here:
https://brainly.com/question/30066983
#SPJ6
If a square has a side of (3x+5), what is its perimeter?”
O
a.6x + 10
b.3x + 15
c.123 + 5
d.123 + 20
Answers
Answer:
Step-by-step explanation:
The perimeter of a square is four times a side. We are told a side equals 3x+5 so
P=4S
P=4(3x+5)
P=12x+20
HELP PLEASE
ARM SPAM (INCHES) HEIGHT (INCHES)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
58 61
65 68
1. Which variable did you plot on the x-axis and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
2. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
Answers
Step-by-step explanation:
we have to write all things by which which x-axis is viraivil with you and y axis is variable with you and spleen in our right one formula X is equals to X is equals to y y - behind honey bunny i y is equals to x minus b right and right that formula and write if you don't know and I will tell you another this video is it was thank you so much
Pleaseeee help meeeeeeeee
Answers
Answer:
A. m = -6
Step-by-step explanation:
5.7 is increased to 7.8
What is the percentage of increase?
Answers
Answer:
7.8%
Step-by-step explanation:
Answer:
The percentage of increase is 37%
Step-by-step explanation:
The way to find the percentage of increase is to divide The difference between the two numbers by the number before the increase
7.8 - 5.7 = 2.1
The difference between 7.8 and 5.7 is 2.1
So now we divided 2.1 by the number before the increase, in this case, 5.7
2.1 ÷ 5.7 = 0.3684
0.3684 rounded to the nearest hundredth is 0.37
Thus the percentage of increase is 37%
use the two points and the line to find the y-intercept
a. (-1, -1)
b. (-2, -6)
c. (- 3/4, 0)
d. (0, 4)
Answers
Answer:
0,4, That is the y intercept.
Step-by-step explanation:
Hope I helped :)
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
What is x? and how did you get it?
Answers
Answer:
x = 16
Step-by-step explanation:
step 1 - 64 + 100 + x = 180 (all triangles equals 180)
step 2 - 164 + x = 180
step 3 - 164 + x = 180
-164. -164
step 4 - 180 - 164 = 16
step 5 - 100 + 64 + 16 = 180
(I do this part to double check my work)
step 6 - x = 16
Answer:
x = 48Step-by-step explanation:
The ratio:
x/64 = (100 - 64)/xx² = 64*36x = 48Mhanifa please help me with this! I need it done ASAP! I will mark brainliest
Answers
Answer:
[tex]1) \to \: B \\ 2) \to A[/tex]
Answer:
The third one
Step-by-step explanation:
if right answer good review
Answers
Answer:
Top left: a is negative and p is positive
Step-by-step explanation:
The formula y = ax + p is referring to the formula y = mx + b where m is the slope and b is the y-intercept.
Since the line is going down, the slope is negative-- a is negative.
Since the line crosses the y-axis above the origin, the y-intercept is positive-- p is positive.
Answer:
a is negative and p is positive
Step-by-step explanation:
The equation y = ax + p is written in slope-intercept form, where a is the slope and p is the y-intercept.
When a slope is negative, the line goes down the further right it goes.
The line on the graph lowers as it moves right, which means that the slope(a) is negative.
The line intercepts the y-axis above the origin, which means that it must be positive.