Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
Answers
=============================================
Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
Related Questions
please help i dont understand
Answers
Answer:
[tex] \frac{ {y}^{2} }{4 {x}^{5} } [/tex]
what equation has infinite solutions
4(x+2) = 9
4(x+2) = 4x + 8
4(x+2) = 4x + 2
4(x+2) = 12
Answers
Answer:
4(x+2) = 4x + 8
Step-by-step explanation:
because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal
4x+8=4x+8
Both side is equal no matter what.
what is the x value of the solution to the system of equations below
x+y+z=8
x+2y=6
y+z=4
Answers
Answer:
Let's solve for x.
x+y+z=8
Step 1: Add -y to both sides.
x+y+z+−y=8+−y
x+z=−y+8
Step 2: Add -z to both sides.
x+z+−z=−y+8+−z
x=−y−z+8
Answer:
x=−y−z+8
24. What are the x and y intercepts of the following
equation: 4x – 3y = 24
A. X-intercept (6,0) and y-intercept (0,-8)
B. x-intercept (-8,0) and y-intercept (0,6)
C. x-intercept (4,0) and y-intercept (0,-3)
D. x-intercept (-3,0) and y-intercept (0,4)
Answers
Answer:
C
A. X-intercept (6,0) and y-intercept (0,-8) wrong
B. x-intercept (-8,0) and y-intercept (0,6)wrong
C. x-intercept (4,0) and y-intercept (0,-3) correct
D. x-intercept (-3,0) and y-intercept (0,4) wrong
y=−x−4
y=3/5x+4
How do i get the solution?
Answers
Answer:
by getting the solution
Step-by-step explanation:
PLEASE HELP!! :( I will mark brainliest!
Answers
Answer:
14 give me that badge :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
14 faces
10. Find the range of possible values for the variable.
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The range of possible values for the variable is x < 12
From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.
30 > 3x - 6
Swap sides
3x - 6 < 30
Add 6 to both sides
3x - 6 + 6 < 30 + 6
3x < 36
Divide both sides by 3
3x/3 < 36/3
x < 12
Hence the range of possible values for the variable is x < 12
Learn more on inequality expression here: https://brainly.com/question/24372553
Match the name of the individual to a description of his
accomplishment.
___________oil production
___________steel
manufacturing
___________mechanized
production of clothing
___________expanded
industrialization to
continental Europe
A. William
Cockerill
B. Andrew
Carnegie
C. John D.
Rockefeller
D. Francis Cabot
Lowell
Answer:
Answers
Answer:
oil production: John d Rockefeller
steel manufacturing: Andrew Carnegie
Clothing: william cockerill
industrializatuon expansion: Frances Cabot Lowell
Step-by-step explanation:
352 is 32% of what number?
Answers
Answer:
1100
Step-by-step explanation:
M is the midpoint of the segment. Find the length of CG
Answers
6x - 15 = 4x + 1
-4x +15 -4x +15
(Move all the x’s to one side the other numbers to the other)
2x = 16
2 2
(Divide both sides by 2)
x = 8
Now just plug in x to find the length of one segment and double it to find the length of CG
6(8) - 15 = 33
33 • 2 = 66
CG = 66
9 children win $20 each. Then the same 9 children win $10 each. How much combined money did each child win
Answers
Answer:
$270 in all
Just multiply 9x20 and 9x10 and add them together
Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4)
Answers
Answer:
(-1,-6.5)
Step-by-step explanation:
midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)
(2-4)/2=-1, -9-4=-13/2=-6.5
=(-1,-6.5)
As a person pedals the bike, what forces oppose motion? As the person goes faster, what happens to the amount of air resistance?
Answers
The force that opposes the motion is friction and air resistance plays a part in the opposing force to the motion. The faster you go the more amount of air resistance makes contact into you. An example is a motorcycle rider and you turn over and see their hair and clothes moving really fast.
Mark this brainliest if this helped!
Answer:
Step-by-step explanation:
Wind, friction and terrain (flat versus hilly) all oppose motion of the bike. Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).
-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?
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Round 0.1 to the nearest whole number.
Answers
0.1 rounded to the nearest whole number = 0
Hi guys, I need some help with this. Look at the screenshot below.
Answers
Answer:
20%
Step-by-step explanation:
54-45 = 9
9/45 = 0.2
0.2*100 = 20
Production increased 20%
A worker at a clothing store earns a 20% commission on a sale of $85.00. How much is the commission
Answers
Answer:
16$
Step-by-step explanation:
I need help plzzzzz!!!!!!!!
Answers
Answer:
100.73
Step-by-step explanation:
Area of Rectangle=140
Area of Semi-Circle=39.27
Area of Rectangle-Area of Semi-Cirlce=100.73
can you please help me find X in this problem it is so confusing
Answers
Answer:
x = 25°
Step-by-step explanation:
There are different ways to get there.
1.The unmarked angle at bottom left is an alternate interior angle with the one at the top marked 50°. So, it is congruent to 50°.
That makes the angles along the line at the bottom be ...
50° +x° +105° = 180° . . . . . the measure of a linear angle
x° = 180° -155° = 25°
__
2.The unmarked angle at top right is a same-side interior angle relative to the one at bottom marked 105°. As such it is supplementary to 105°, and has measure ...
180° -105° = 75°
This angle (upper right) is an exterior angle to the triangle. As such, it is equal to the sum of the two "remote" interior angles of the triangle—the ones marked 50° and x°.
75° = 50° +x°
25° = x° . . . . . . . subtract 50°
__
3.The unmarked interior angle of the triangle is an alternate interior angle with the one marked 105°. So, it is congruent to 105°. The sum of the triangle interior angles is 180°, so you have ...
x° +50° +105° = 180°
x = 180° -155° = 25° . . . . as we had with our first approach
Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1
Answers
Answer:
-3
Step-by-step explanation:
x
+
3
=
O
A
=
−
x
+
13
=
X
=
−
3
=
=
−
3
1
=
=
−
3
1
=
=
−
3
Which speed is the fastest? 4 miles in 1/3 hour 1/3 mile in 4 hours 1/2 mile in 3 hours
Answers
Answer: 4 miles in 1/3 hour
Step-by-step explanation:
How many problems of each point value are on the test? 10 problems worth 5 points and 25 problems worth 2 points 14 problems worth 5 points and 15 problems worth 2 points 16 problems worth 5 points and 13 problems worth 2 points 15 problems worth 5 points and 13 problems worth 2 points.
Answers
The question is an illustration of system of equations
There are 14 problems worth 5 points and 15 problems worth 2 points
The system of equations is given as:
[tex]x + y = 29[/tex]
[tex]5x + 2y = 100[/tex]
Make x the subject in [tex]x + y = 29[/tex]
[tex]x = 29 - y[/tex]
Substitute 29 - y for x in [tex]5x + 2y = 100[/tex]
[tex]5(29 - y) + 2y = 100[/tex]
Open brackets
[tex]145 - 5y + 2y = 100[/tex]
Evaluate like terms
[tex]145 - 3y = 100[/tex]
Collect like terms
[tex]- 3y = 100-145[/tex]
Evaluate like terms
[tex]- 3y = -45[/tex]
Divide both sides by -3
[tex]y = 15[/tex]
Substitute 15 for y in [tex]x = 29 - y[/tex]
[tex]x = 29 - 15[/tex]
[tex]x = 14[/tex]
This means that there are 14 problems worth 5 points and 15 problems worth 2 points
Read more about system of equations at:
https://brainly.com/question/14323743
FACTORIZE AND Split the middle term: 72 + b - b^2
Answers
Answer:
- (b - 9)(b + 8)
Step-by-step explanation:
72 + b - b² ← factor out - 1 from each term and rearrange into standard form
= - (b² - b - 72) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)
The factors are - 9 and + 8
Use these factors to split the b- term
b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )
b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term
(b - 9)(b + 8)
Then
72 + b - b² = - (b - 9)(b + 8)
Write a linear function f with f(-2) = 6 and f(0) = -4
f(x) =
Answers
Answer:
y = -5x - 4
Step-by-step explanation:
yeah-ya............ right?
Please find the equation for this ASAP
Answers
Answer:
y=-2x-3
Step-by-step explanation:
the slope is 2/1 going down and the y intercept is -3
Using ruler and compasses only, construct a parallelogram KLMN, so that KL = 8 cm, LM = 6 cm and angle KLM = 135°.
Answers
The steps to construct a parallelogram using a ruler and a compass are;
1. Draw a starting line segment l linger than 8 cm.
2. Mark point K on the line segment.
3. Widen the compass to a radius of 8 cm using the ruler.
4. Place the compass at point K and with the 8 cm radius mark point L on the line l.
5. At point L construct a 45° angle as follows;
Draw arcs that intersect line l on both sides of point L.From each of the intersection points, draw arcs that intersect each other on on the upper area adjacent to line l.From the intersection point in the previous step, draw a line to point L to get a perpendicular line to line l.Draw arcs to intersect the perpendicular line and line l on the other side of point L from K.From the points the arc intersects the perpendicular line draw arcs of the same radius to intersect at a point X to the right of the perpendicular line.The above steps bisects the 90° angle of the perpendicular lines.
Join point X to point L with a straight line to form ∠XLM = 135° (90° + 45° = 135°)6. Adjust the radius of the compass to give an opening of 6 cm and from point L draw an arc to intersect XL at M.
7. At point M construct a line YM at 45° angle to the line l.
8. From point M draw an arc to intersect YM and label the point as point N.
9. Join point M and N to complete the construction of the parallelogram KLMN.
Learn more about construction using a compass and a ruler here:
https://brainly.com/question/1528158?section=similar
NO LINKS!!!!! Plz
Round 0.864595 to the ten-thousandths place.
Answers
Answer:
0.8646
Step-by-step explanation:
The digit in the hundred-thousandths place is 9, so is greater than 4. That means the digit in the ten-thousandths place is increased by 1 when the number is rounded.
0.864595 rounds to 0.8646
What is the solution of VX+ 12 = x?
O x=-3
O x = 4
O x= -3 or x = 4
O no solution
Answers
Answer: No solution
Step-by-step explanation:
VX+12-12=x-12
VX=x-12
VX/x=x/x-12/x= X≠0
Please help me with my math problem!! NO LINKS PLEASE!! IT IS DUE TONIGHT AT 11:59PM!! WILL GIVE BRAINLIEST!! :)
Answers
Step-by-step explanation:
Hi, i think this is how to do it. I'm sorry if I do it wrong!
which statement is true?
Answers
Answer:
The slope of function A is less than the slope of function B
Explanation:
The slope for function B is 1/2, which is greaterthan 1/5, the slope of function A.
Answer:
the slope on Function A is less than Function B
Step-by-step explanation:
By doing rise over run we can get 1/2 on Function B and the Y intercept is 5 so the equation is y=1/2x+5