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
Sam runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answers
Answer:
4.8
Step-by-step explanation:
6/55= ~0.109
0.109*44=4.8
**PLEASE HELP ASAP**
Ben is concerned that he is not reading enough. He decides to record how many pages he reads each day for the month of April, and he makes a box plot of the data. Then he repeats the process for the month of June. His 2 plots are shown below.
Answers
In April he reads 10 to 90 pages per day
Adrian purchases a book for $9.86 and a poster for $3.49. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)
Answers
help please i’m doing homework and i can’t fail this lesson.
Answers
Answer: y = 3x +1
Step-by-step explanation:
What expression is equal to 4/8
Answers
Answer:
The value of 12/24 is equals to 0.5. Hence, this fraction is equivalent to 4/8.
Step-by-step explanation:
im not sure tho. hope u get it right.
2. The sum of the two number is 5 and difference of their squares is 5. Find the difference of the numbers?
help me solomon user.
Answers
Answer:
see the attachment
I hope it's help you
Let the two numbers be X and Y
Sum of the two numbers = 5
⇛ X+Y = 5-----(1)
Difference of their squares = 5
⇛ X²-Y² = 5
⇛(X+Y)(X-Y) = 5
⇛5(X-Y) = 5
⇛X-Y = 5/5
⇛ X-Y = 1
The difference of the two numbers = 1. Ans.
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Need help now pls on HS geometry
Answers
Answer:
b
Step-by-step explanation:
RT is a perpendicular bisector of QS , then
Δ QRS is isosceles with 2 congruent legs , that is
QR = SR
7x - 22 = 4x + 5 ( subtract 4x from both sides )
3x - 22 = 5 ( add 22 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41
Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
A y=-18
B y=3
C y=8
D y=-8
Answers
[tex]x+5y = 7~~~....(i)\\\\\\2x+4y = -4~~~.....(ii)\\\\\\\text{Multiply equation (i) by 2,}\\\\\\2x+10y = 14~~~.....(iii)\\\\\\(iii) - (ii):\\\\2x+10y-2x-4y = 14-(-4)\\\\\implies 6y = 14+4\\\\\implies 6y = 18\\\\\implies y = \dfrac{18}6\\\\\implies y = 3[/tex]
A number more than 1.
Answers
Answer:
there is no more number than one
Step-by-step explanation:
HELP It's due in 15 minutes
Answers
Answer:
L
Step-by-step explanation:
Solve the equation. Please
Answers
Answer:
y=3
Step-by-step explanation:
1/4 = 3/12
Given the function f(x)=|x|, if the function is shifted 0.5 units down, then shifted 3 units left, and reflected over the y-axis, what is the equation of the new function
Answers
Answer:
f(x) = |x - 3| - 0.5.
Step-by-step explanation:
).5 units down gives |x| - 0.5
3 units to the left gives |x + 3| - 0.5
Reflection over the y-axis gives |x - 3| - 0.5.
Which of the following functions is graphed below
Answers
Answer:
Option B: [tex]y=\left \{ {{x^2+6,x<3} \atop {-x+6,x\geq3}} \right.[/tex]
Step-by-step explanation:
We can see that the first part of the piecewise function is a parabola with a y-intercept of (0,6) where the domain is restricted for all values of x less than 3 given the open circle at x=3.
The second part of the piecewise function is a linear function with a negative slope where the domain is restricted for all values of x greater than or equal to 3 given the closed circle at x=3.
Essentially, the piecewise function has a jump discontinuity at x=3 where the first part of the function goes to the second part of the function at one point by "jumping".
What type of market structure would toothpaste, jeans and laundry
detergent be apart of?
Answers
Answer:
The personal hygiene part of the store (I think)
Step-by-step explanation:
This is an ultimately weird question, so I don't really know. But my answer is what I think, (I don't even know if it exists though).
Which is the graph of the ordered pairs from the table below?
X Y
3 5
5 7
7 9
9 11
Answers
Answer:
It is the second
Step-by-step explanation:
Answer: number 2 ᕙ(＠°▽°＠)ᕗ
Step-by-step explanation:
Will mark brainliest if you can resolve this problem ( 2 possible answers, NO LINKS OR ANSWERS WITHOUT EXPLANATION)
I can give u the permission of drawing the boxplot by:
- saving the picture or screenshot it ( it's better to screenshot it (Windows+ Logo+Shift+s) )
- drawing the answer on the screenshot Windows
- save the picture (Ctrl+s)
- and finally send it to brainly
(P.s: many people (those who are good at I.T) will argue with the procedure of doing the answer. But many people don't. So I gave the procedure step-by-step to you to show me the working) Thx
Here's the picture:
Answers
Answer:
Hopefully this is what you are looking for.
Step-by-step explanation:
Hope this helps!
1
A line has a slope of -2 and a y-intercept of -2.
What is the x-intercept of the line?
A -4
B -1
C 1
D 4
Answers
Answer:
B
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 = - 2 and c = - 2 , then
y = - 2x - 2 ← is the equation of the line
To find the x- intercept let y = 0 in the equation and solve for x , that is
- 2x - 2 = 0 ( add 2 to both sides )
- 2x = 2 ( divide both sides by - 2 )
x = - 1
The x- intercept is - 1 → B
Solve the system of linear equations by substitution
6x-9=y
y=-3x
Answers
Answer:USE SUBSTITUTION METHOD. Algebra work right here
Step-by-step explanation:
Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answers
Answer: By using the rounding rule.
Step-by-step explanation:
387 x 397 => 387.4
384 x 352 => 387.4
Complete the table if x & y vary inversely
Answers
Answer:
(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)
Evaluate this -4-12/(-4)?
Answers
Answer:
4
Step-by-step explanation:
Write an absolute value inequality to represent the situation.
What is the range of the number for calories in the chicken.
The menu at Jeanne's favorite restaurant states that the roasted chicken with vegetables entree typically contains 480 Calories. Based on the size of the chicken, the actual number of Calories in the entree can vary by as many as 40 Calories from this amount.
Answers
Answer:
|x-480|<=40
Step-by-step explanation:
The absolute distance on the number-line from x to 480 has to be 40.
|x-val| <= error-margin
|x-480| <= 40
empat angka setelah angka tiga
Answers
Answer:
hindi ko po gets
yan sorry
Please show work!! I'll give you brainliest
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answers
Answer:
b=34.2m
Step-by-step explanation:
equation for area of parallelogram
a=b×h
in which b is the base(length) and h is the height
[tex]690.84 = b \times 20.2[/tex]
[tex]b = \frac{690.84}{20.2} [/tex]
b=34.2m
On September 1, you own 12.5 shares of stock that are worth $149.87. On
December 1, the shares are worth $94.87. What was the change in the price per
share of stock?
Answers
From September 1 to December 1 is three months apart so meaning the price dropped $49.95 for the months of Oct to Dec.
The required change in the price of the share of stock is $4.4.
Given that,
On September 1, you own 12.5 shares of stock that are worth $149.87. On December 1, the shares are worth $94.87, and the change in the price per share of stock is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Initial total cost shares of stock = $149.87
A total number of shares = 12.5
The initial cost of single share = 149.87/ 12.5 = $11.98
Now final cost of the total share = $94.87
The final cost of the single share is = 94.87 / 12.5 = $7.58
Change in price of shares of stock = 11.98 - 7.58 = $4.4
Thus, the required change in the price of the share of stock is $4.4.
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how
5. Shane has no more than $200 to spend on a
basketball game for next weekend. He spends
$44 on fees. If the tickets are sold at $78 each,
which inequality models t, the number of tickets
Shane is able to buy?
Answers
Answer:
[tex]t\leq2[/tex]
Step-by-step explanation:
200 - 44 = 156 dollars which Shane can use to buy tickets
156 >= 78t
t<=2
Therefore the maximum number of tickets he can buy is 2
What is an equation of the line that passes through the points (0, -4) and (-4, 6)?
Answers
I got this answer by first using the slope formula, which would result into [tex] \frac{0 - 4}{6 - 0} \\ [/tex]for which the answer would be - ⅔ Then, the y-intercept could be found easily, since you already have it., which is (0,4). Since the format for all linear equations are y=mx+b , in which b means the y-intercept and m means the slope. So then, if you substitute - ⅔ for m and 4 for b , you would get
[tex]y = - \frac{2}{3} x + 4 \\ [/tex]
Use the linear combination method to solve the system of equations. â€"2. 1x 4y = 5. 3 2. 1x â€" 5. 5y = â€"0. 2 What is the solution to the system? ( , ).
Answers
The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
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i need help w this pls :)
Answers
Answer:
x8 y6
Step-by-step explanation:
10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.
Answers
please mark me brianliest if i was correct!
Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77
Simplification of fractionsFractions are written as a ratio of two integers
Give the expression
10/11 x 3/7 x 1/2
This can also be written as:
10/2 * 1/11 * 3/7
= 5/11 * 3/7
= 15/77
Hence the product of the fractions in its simplest form is 15/77
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#SPJ2