Answers
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Hint :
Equilateral triangle has same sides and same angles.
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Suppose that one of the angles has a measure of y .
So angles are : y , y and y
_________________________________
Sum of the interior angles of any triangle is 180° .
_________________________________
According above :
[tex]y + y + y = 180°[/tex]
[tex]3y = 180°[/tex]
Divide sides by 3
[tex] \frac{3y}{3} = \frac{180}{3} \\ [/tex]
[tex]y = 60°[/tex]
We found that the measure of the angles are equal , so this is the measure of all three angles.
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Question gave us one of the angles as
4x -12 .
So ;
[tex]4x - 12 = 60[/tex]
Add sides 12
[tex]4x - 12 + 12 = 60 + 12[/tex]
[tex]4x = 72[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{72}{4} \\ [/tex]
[tex]x = \frac{9 \times 2 \times 4}{4} \\ [/tex]
[tex]x = 9 \times 2[/tex]
[tex]x = 18[/tex]
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We found that sides are same ,
So :
[tex]BZ = DB = DZ = 7x + 119 \\ [/tex]
Thus :
[tex]DB = 7x + 119[/tex]
[tex]DB = 7(18) + 119[/tex]
[tex]DB = 126 + 119[/tex]
[tex]DB = 245[/tex]
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The correct answer is Option three .
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Related Questions
Annette drove 24 miles in 60 minutes. Which is the simplest form of 24/60?
Answers
Answer:
2/5
Step-by-step explanation:
24/60= 2/5 (If divided by 12)
State all the zeros of the function: f(x) = x(6x - 9).
Answers
Answer:
Zeros are at x=0 and x=3/2.
Step-by-step explanation:
f(x) = x(6x - 9)
x=0 and 6x -9 = 0
6x = 9
x = 3/2
Rollin and Sandra want to buy a home priced at $265,000. They plan to finance this amount less the down payment
required. Rollin and Sandra have a combined annual income of $83,600 and have saved $53,000. They have a
recurring debt of $582. Use a 20% down payment and the 28/36 ratio to determine if Rollin and Sandra are eligible for
a loan. What would you advise them to do if they are not eligible?
Answers
Answer:
Rollin and Sandra will not be eligible for a loan. Since 20% of $265,000 is $53,000, they have the required down payment.The recurring debt they have exceeds the allowable amount of $557. Rollin and Sandra should work on reducing their recurring debt.
Step-by-step explanation: this is what i put on the practice
Based on the 28/36 rule, the Rollin and Sandra family are eligible for the mortgage loan of $212,000.
Data and Calculations:Price of home = $265,000
Required down payment = 20% or $53,000
Amount saved = $53,000
Combined annual income of Rollin and Sandra = $83,600
Recurring debt = $582 per month
Annual recurring debt = $6,984 ($582 x 12)
The Rollin and Sandra family will need to finance $212,000 ($265,000 - $53,000) of the home price.
At 6% interest rate for 30 years, the Rollin and Sandra household will pay $1,271.05 monthly or $15,252.60 yearly. This gives a total annual debt payment of $22,236.60 ($6,984 + $15,252.60).
Thus, based on the 28/36 rule, the Rollin and Sandra family are eligible for the mortgage loan of $212,000.
Learn more about the 28/36 rule and eligibility for mortgage loan here: https://brainly.com/question/8409309
What is the y-intercept of this graph?
Answers
Answer:
0
Step-by-step explanation:
the y-intercept is (0,0).THe equation of the graph is y=8x
Una jarra vacia pesa 0.64 kg, llena de agua 1.728 kg. ¿Cuánto pesa el agua?
Answers
Answer:
Pesa 1.088kg
Step-by-step explanation:
Peso jarra vacía --> 0.64kg
Peso jarra llena de agua --> 1.728kg
Peso agua = peso jarra vacía - peso jarra llena
Peso agua = 1.728kg - 0.64kg = 1.088kg
Peso agua= 1.088kg
What is the value of the underlined digit?
5,682, 450,003
A. eighty thousand
B. eighty million
C. eighty-two million
D. eighty billion
Answers
5x - 2x=? fast plss i dont want to be grounded
Answers
Answer:
3x
Step-by-step explanation:
5-2=3
HOPE THIS HELPS :)
Answer:
3x
Step-by-step explanation:
Combine like terms: 5-2=3, so 5x-3x=2x.
Hope this helps plz mark brainliest :D
someone knows what number multiplied twice by the same can give me results 203!!!!!
Answers
Answer:
i will help you.......
Miguel is purchasing 2.25 pounds of oatmeal. The serving suggestion is 0.2 pounds. It costs $0.79 per pound. How many servings will he be able to make?
Answers
Answer:
11.25 servings
Step-by-step explanation:
Make sure to ignore .79, because it is unnecessary information.
Nathan took his car in for service and repairs. He had a coupon for 10% off.
Original Prices
• Labor $254.58
• Parts $333.90
• Other $64.42
Which amount is closest to Nathan's total costs after the 10% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]
Answers
Answer:
$594.21
Step-by-step explanation:
Because 254.58 + 333.90+ 64.42= $622.87
and 10 off of $622.87 = $560.58
and 6% sales tax to $560.58 = $594.21
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Answers
Answer:
b
Step-by-step explanation:
count two up, and 5 to the right
Write the equation of the line that passes through the points (-6, 9) and (0, -9).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Help‼️
Answers
Answer:
slope(m)= -3
Step-by-step explanation:
Determine whether each quadrilateral must be a parallelogram & justify your answer.
Answers
Yes - a pair of opposite liens are parallel and a pair of opposite angles are parallel
Place the numbers on the number line. %, -2,-, 1.5, -1.25
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-2
0
1
No
Answers
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
Answers
Answer:
$11.50 is being split among the 8 friends
Step-by-step explanation:
76 + 16 = 92
92/8 = 11.5
Answer:
A and C
Step-by-step explanation:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
PLEASE HELP URGANT The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–13, –9). Find the translation rule and the image of U.
Answers
Answer:
translation -(-7, -4)
Phil sold 11 small boxes and 10 large boxes of tangerines for a total of $146. Nick sold 5 small boxes of tangerines and 12 large boxes of tangerines for a total of $126.
Answers
Given :
Phil sold 11 small boxes and 10 large boxes of tangerines for a total of $146.
Nick sold 5 small boxes of tangerines and 12 large boxes of tangerines for a total of $126.
To Find :
The price of each small box and large box.
Solution :
Let, price of small box is x and large box is y.
Mathematical expression of given equations :
11x + 10y = 146 ...1)
5x + 12y = 126 ...2)
Solving above equation, we get :
x = 6 and y = 8
Therefore, price of small and large box is $6 and $8 respectively.
Hence, this is the required solution.
Given that two sides of a triangle have sides 5 and 7, write the range of the lengths of the third side:
Question Blank
type your answer...
< x
<
Question Blank
type your answer...
Plz due 11:59
Answers
Answer:
Step-by-step explanation:
The two sides add up to 12. If the third "side" of the triangle is 12, then 5 and 7 will lie horizontally on 12.
So the maximum value must be less than 12. What's the smallest x could be?
well 5 + something must be > than 7. If they are not larger than 7, then 5 and something will lie on 7 just as it did before. So how big is something?
5 + y > 7
5 - 5 + y > 7 - 5
y > 2
So the range is 2 < x < 12
How else could you write this?
2 < x
x < 12 is one way.
Pierre, an art dealer, earns 25% commission of the art pieces he sells. He earned $10,800 this month. What is the total amount of the art pieces he sold?
Answers
Answer:
2700
Step-by-step explanation:
25 percent of 10800 is 2700. hope this helped, this was a bit rushed!xx
Answer:
sry I need points
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The Lakewood wildcats won 5 of their first 7 games this year.There are 28 games in the season.About how many games would you expect the Wildcats to win this season?
Answers
Answer:
7 equal to 5
1 equal to 5/7
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Step-by-step explanation:
3a+6b-a-9b please help!
Answers
You can try rearranging it , it’ll be easier I think :)
3a + 6b - a - 9b
= 3a - a + 6b - 9b
= 2a - 3b
2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4. Which transformation maps the large triangle onto the small triangle?
Answers
Answer:
The transformation is 0.5
Step-by-step explanation:
The lengths of the second triangle is just half the length of the first triangle, from the center. As it is just resizing, the angles would not change, resulting in the same triangle, except for size.
Answer:
A- Dilation
Step-by-step explanation:
It doubles the length for all sides of the small traingle.
-2x^4 + 8r^3 factor.
Answers
What vector describes the transition depicted below !! Please help !!!
Answers
Answer:
vector v(4;-3)
Step-by-step explanation:
Malika, Keshia, and Aliyah Smith are each 2 years apart in age. The sum of their ages is greater than the age of their father, who is 65. How old can the oldest sister can be?
Answers
Answer:
24?
Step-by-step explanation:
If you add 20, 22, and 24, you get 66. I dont know if this helped.
Tickets for the school play cost $7 each. Each member of the cast gets 1 free ticket for a family member. For the run of the play, 210 tickets are collected, including all the free tickets, and the box office makes $1,358 from ticket sales. The equation that models this situation is7(210 – c) = 1,358 where c is the number of cast members. How many cast members are in the play?
Answers
Answer:
there are 16 cast members.
Step-by-step explanation:
7(210-c)=1358 multiply everything in the parentheses by 7
1470-cx=1358
-7c=-112 subtract 1470 from both sides
c=16 divide -112 by -7
c=16
What inequality describes the solutions of 2y less than or equal to 8?
Answers
Answer:
[tex]y\leq 4[/tex]
Step-by-step explanation:
Start with the given
[tex]2y\leq 8\\[/tex]
Divide the two on both sides to get
[tex]y\leq 4[/tex]
Answer:
y=≤4
Step-by-step explanation:
f(x) = − 1
2
x for x = –6
Answers
Answer:
Your an idiot and i oop hahahahah thats what u did on my question. YOUR AN IDIOT UR A IDIOT U SUCK.
Step-by-step explanation:
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has.
If r is 23 cup, how many batches of cookies can Tyra make?
Enter your answer in the box.
Answers
Answer:
hold on almost got it
Step-by-step explanation:
Answer:
19
i dont need any code or stuff
i just wan to help
Graph a line that contains the point (3,-6) and has a slope of
2
khan academy i need it!!
Answers
Answer:
[tex]\boxed {\boxed {\sf y= 2x-12}}[/tex]
Step-by-step explanation:
We are given a slope and a point, so we can use the point-slope equation.
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and (x₁, y₁) is the point.
The slope is 2 and the point is (3,-6).
[tex]m= 2\\x_1=3 \\y_1=-6[/tex]
Substitute the values into the formula.
[tex]y--6=2(x-3)[/tex]
[tex]y+6=2(x-3)[/tex]
Distribute the 2 on the right side of the equation.
[tex]y+6=(2*x)+(2*-3)[/tex]
[tex]y+6=2x-6[/tex]
We want to get the line into the form: y=mx+b. We have to isolate y on one side of the equation. 6 is being added to y. The inverse of addition is subtraction; subtract 6 from both sides of the equation.
[tex]y+6-6=2x-6-6[/tex]
[tex]y=2x-6-6[/tex]
[tex]y=2x-12[/tex]
The line is y=2x-12 (slope=2 and y-intercept=-12)