Problem 10
Answer: 20 degrees
Explanation: Angle GBE = 20 is shown in the diagram which is adjacent to the angle we want. Recall that the incenter is found by constructing the angle bisectors of a triangle. The angle bisectors cut each angle in half. So angle ABG and angle GBE are the same measure.
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Problem 11
Answer: 22 degrees
Explanation: We'll use similar reasoning as above to find that angle GCA is 11 degrees. So angle BCA = (angle BCG)+(angle GCA) = 11+11 = 22.
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Problem 12
Answer: 118 degrees
Explanation: Make a copy of triangle ABC. Ignore the other line segments inside the triangle. We found so far that angle B = 20+20 = 40 degrees and angle C is 22 degrees. Solve A+B+C = 180 to get A = 118. This is the measure of angle BAC.
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Problem 13
Answer: 59
Explanation: Cut the result of problem 12 in half. We're using the same idea as problem 1. Segment AG cuts angle BAC into two equal halves.
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Problem 14
Answer: 4
Explanation: We can show that triangles GEB and GDB are congruent by the AAS congruence theorem. Note the two pairs of congruent angles, and the pair of congruent sides that are not between the angles. From there, we see the corresponding pieces GE and GD are the same length. The diagram shows GE = 4, so GD = 4 also.
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Problem 15
Answer: 11
Explanation: Same idea as problem 14. This time we focus on the corresponding congruent parts BD and BE, which are both 11 units long.
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Problem 16
Answer: sqrt(137)
Explanation: Focus on triangle GDB or triangle GEB (they're the same triangle, just one is a mirror reflection of the other). Use the pythagorean theorem with a = 4, b = 11 to find that c = sqrt(137)
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Problem 17
Answer: 4*sqrt(26)
Explanation: We'll use a similar idea as problem 14. We can prove triangles GFC and GEC are congruent by AAS. Consequently, we know that FC = EC = 20. The diagram shows EG = 4. Focus on triangle GEC. Use the pythagorean theorem to find that GC = sqrt(416) = 4*sqrt(26)
An SUV costs $26,425 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $33,195 and costs an average of $0.13 per mile to maintain. After how many miles will the cost of the gas-only SUV exceed the cost of the hybrid?
Answer:
135,400 miles
Step-by-step explanation:
SUV cost = $26,425 + $0.18m
= 26,425 + 0.18m
Hybrid SUV cost = $33,195 + $0.13m
= 33,195 + 0.13m
Where,
m = number of miles
Equate the cost of the two SUVs
33,195 + 0.13m = 26,425 + 0.18m
33,195 - 26,425 = 0.18m - 0.13m
6,770 = 0.05m
divide both sides by 0.05
m = 6,770 / 0.05
= 135,400
m = 135,400 miles
The gas-only SUV exceed the cost of the hybrid after 135,400 miles
There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate? *
Answer:
[tex]\bold{\dfrac8{15}}[/tex] of the cakeStep-by-step explanation:
[tex]\dfrac45-\dfrac13\cdot\dfrac45=\dfrac{4\cdot3}{5\cdot3}-\dfrac4{15}=\dfrac{12}{15}-\dfrac4{15}=\dfrac8{15}[/tex]
-3/4 - 1/4 to tired and I'm struggling with this
Answer:
-1
Step-by-step explanation:
[tex] \rm Simplify \: the \: following: \\ \rm \longrightarrow - \dfrac{3}{4} - \dfrac{1}{4} \\ \\ \rm - \dfrac{3}{4} - \dfrac{1}{4} = \dfrac{ - 3 - 1}{4} : \\ \rm \longrightarrow \dfrac{ - 3 - 1}{4} \\ \\ \rm - 3 - 1 = - (3 + 1) : \\ \rm \longrightarrow \dfrac{ - (3 + 1)}{4} \\ \\ \rm 3 + 1 = 4 : \\ \rm \longrightarrow \dfrac{ - 4}{4} \\ \\ \rm \dfrac{ - 4}{4} = \dfrac{4}{4} \times ( - 1) = - 1 : \\ \rm \longrightarrow - 1[/tex]
What is the coefficient on x in the product of (3x+2)(x+4)?
Answer:
3
Step-by-step explanation:
Answer: i guess 3
Step-by-step explanation:
Are the expressions 8a2 - 4b + 7a2 and 5(3a2 - 2b) + 6b equivalent? Explain your reasoning.
Answer:
Yes, The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent
Step-by-step explanation:
To answer the question you must simplify each expression, then compare them to find if they are equivalent or not
∵ The 1st expression = 8a² - 4b + 7a²
→ Add the like terms
∴ The 1st expression = (8a² + 7a²) - 4b
∴ The 1st expression = 15a² - 4b
∵ The 2nd expression = 5(3a² - 2b) + 6b
→ Multiply the bracket by 5
∴ The 2nd expression = 5(3a²) - 5(2b) + 6b
∴ The 2nd expression = 15a² - 10b + 6b
→ Add the like terms
∵ The 2nd expression = 15a² + (-10b + 6b)
∴ The 2nd expression = 15a² + -4b
→ Remember (+)(-) = (-)
∴ The 2nd expression = 15a² - 4b
∵ The 1st expression = The 2nd expression
∴ The two expressions are equivalent
∴ The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent
Evaluate the function y = 20 + 5m when m = 13.
Your answer is:
y = 85
Hope this helped! -Perplxxd
36 pictures for $8 or 24 pictures for $5
Answer:
36 for $8.00
Step-by-step explanation:
The Jones family spends $600 per month on groceries for their family. If this is 15% of their monthly budget, then what is their monthly budget?
Answer:
hi whats up
Step-by-step explanation:
Answer:
$4000
Step-by-step explanation:
$600 = .15x where x is the total monthly budget
x = $600/.15
x = $4000
The last option is :
The slope is 4, and the y-intercept is 12.
Answer:
the last option
Step-by-step explanation:
slope: 4/1
y-intercept: 12
hopefully this helps :)
What is (3x2+x-1)(x^4-2x+1)
Answer:
3
x
6
+
x
5
−
x
4
−
6
x
3
+
x
2
+
3
x
−
1
Step-by-step explanation:
simp
Answer: =3x^6 + x^5 − x^4 − 6x^3 + x^2 + 3x − 1
Step-by-step explanation:
A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop owner has used 91 combined ounces of meat and cheese. How many combined ounces of meat and cheese are used on each sandwich?
Answer:
Step-by-step explanation:
Given : For each sandwich:
Quantity of meat used = 4 ounces
Quantity of cheese used = 3 ounces
The combined ounces of meat and cheese are used on each sandwich =
Quantity of meat used + Quantity of cheese used
= 4 ounces + 3 ounces
= 7 ounces
Hence, The combined ounces of meat and cheese are used on each sandwich = 7 ounces
Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece meters long. Then she cuts a piece meters long from the remaining ribbon. How much ribbon does Leah have left? A. 10 meters B. 25 meters C. 5 meters D. 12 meters
This question is incomplete
Complete Question
Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon. How much ribbon does Leah have left?
A.) -12 meters
B.) -5 meters
C.) 5 meters
D.) 12 meters
Answer:
C.) 5 meters
Step-by-step explanation:
From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon.
Step 1
3 4/9 meters + 6 5/9 meters
Least Common Denominator = 9
(3+ 6) + [ 4/9 + 5/9)
9 + [4 + 5/9]
9 + [9/9]
9 + 1
= 10 meters
This means, the total number of ribbons cut is 10 meters
The amount of ribbon Leah has left =
Initial length of ribbon - Amount of ribbon cut
= 15 meters - 10 meters
= 5 meters
Hence, Leah has 5 meters long of ribbon left
Answer:
the answer is 5 meters left
Step-by-step explanation:
Please help 20 POINTS
Answer:
LGK=90
Step-by-step explanation:
BRAINLIEST
What’s your philosophy in life?
Answer:
The philosophy of life would include things like how you decide what is “good” and “bad”, what “success” means, what your “purpose” in life is (including if you don't think there is a purpose), whether there is a God, how we should treat each other, etc
Step-by-step explanation:
The domain of a function is given by {-4,2,8}. If the function is defined by y= x +1 /3 ,then which of the following values is a member of the range?
Answer:
{-1, 1, 3}
Step-by-step explanation:
Given the function
y = (x + 1)/3
The domain are the input value x while the range are the output values given the input value x;
Given the domain {-4, 2, 8}
when x = -4;
y = (-4+1)/3
y = -3/3
y = -1
when x = 2;
y = (2+1)/3
y = 3/3
y = 1
when x = 8;
y = (8+1)/3
y = 9/3
y = 3
Hence the member of the range are {-1, 1, 3}
-2/3x + 3/7 = 1/2
In this problem, is X 13/21?
If X is 13/21 what is the answer to this problem?
-2/3 x 13/21 + 3/7
If X isnt 13/21, what is X?
Answer:
x = - [tex]\frac{3}{28}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{2}{3}[/tex] x + [tex]\frac{3}{7}[/tex] = [tex]\frac{1}{2}[/tex]
Multiply through by 42 ( the LCM of 3, 7 and 2 ) to clear the fractions
- 28x + 18 = 21 ( subtract 18 from both sides )
- 28x = 3 ( divide both sides by - 28 )
x = - [tex]\frac{3}{28}[/tex]
Increase £2193.67 by 18.5% Give your answer rounded to 2 DP.
What is the slope of this line select 1 answer
Answer:
Undefined
General Formulas and Concepts:
Algebra I
Vertical Line Test - Shows if a graph is a functionStep-by-step explanation:
We see from the graph that we have a vertical line. Any vertical line will have an undefined slope.
Simplify.
24x2/
23x6
Answer:
16/23
Step-by-step explanation:
well,
24 x 4 = 96
23 x 6 = 138
96/138 = 16/23
24×2/23×6
48/138
=0.3380
A large box is packed with 6 rows of 8 boxes of dried cranberries in the bottom layer. The box is about 4 layers high. Estimate the volume of the large box if each box of dried cranberries has a volume of 16 cubic inches.
Answer:
Step-by-step explanation:
The estemit will be 0
Amanda is spreading new grass seed on her yard. The area of her yard is 4,995 square feet. The instructions on the bags of grass seed say that one bag of seed should be used for every 100 square yards. How many bags of grass seed should Amanda use?
Answer:
499500
Step-by-step explanation:
Hope this helps. :)
Answer:
Calculate Grass Seed Quantity
From the table above, Sun & Shade Mix requires 6 lbs. of seed per thousand sq. ft. for a new planting.
Step-by-step explanation:
Use the data in the table. Which equation shows the number of trees planted per week.
A: y= 13x
B: y= 65x
C: y= 130x
D:y= 325x
Answer:
the picture is blocked but i say b
Step-by-step explanation:
I’m thinking it’s 3-3=0 but that will leave me to no answer help me pls
Answer:
2 1/4
Step-by-step explanation:
in the diagram O is the center of the circle XY is a diameter
help and explain please
also giving a BRAINLIEST!
Answer:
see explanation
Step-by-step explanation:
The angle at the circumference b , is half the angle subtended at the centre by the arc XZ, that is
b = 0.5 × 72 = 36
OZ and OX are congruent ( both radii of the circle )
Thus Δ OXZ is isosceles with base angles congruent, thus
a = [tex]\frac{180-72}{2}[/tex] = [tex]\frac{108}{2}[/tex] = 54
∠ XZY = 90° ( angle in a semicircle is right )
Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones. Write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. Define the variables that you use to write the system.
Answer:
Let p= the number of phones sold
Let a= the number of accessories sold
Step-by-step explanation:
10p+4a=126
a=p+7
The system of equation should be 10p+4a=126 and a=p+7
Given that,
Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones.Based on the above information, the equation is as follows:
Here we assume p= the number of phones sold
And, a= the number of accessories sold
So, the equations are 10p+4a=126 and a=p+7
learn more: https://brainly.com/question/5566317?referrer=searchResults
School supplies cost $27 but after tax the total was $29.96 what is the percentage of tax payed?
Answer:
Step-by-step explanation:
50 sum i think
7x {(7+7)} divided by 7}
Answer: 2
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
y=
What is 7 25 written as a decimal?
Answer:
.725 or if its a whole with a decial 7.25 or 72.5
Step-by-step explanation:
Answer:
0.28
Step-by-step explanation:
i just took the assignment
i hope it helps :3
what is the discimiant of 9x2+2=10x?
Answer:
28
Step-by-step explanation:
Answer: 28
Step-by-step explanation:Use the values of a b and c for the discrimiant