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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° .
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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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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
[tex]y\leq 4[/tex]
Step-by-step explanation:
Start with the given
[tex]2y\leq 8\\[/tex]
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Step-by-step explanation:
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?
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
76 + 16 = 92
92/8 = 11.5
Answer:
A and C
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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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
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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.
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
$594.21
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Question Blank
type your answer...
< x
<
Question Blank
type your answer...
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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.
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Answer:
2/5
Step-by-step explanation:
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Answer:
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Answers
Answer:
Pesa 1.088kg
Step-by-step explanation:
Peso jarra vacía --> 0.64kg
Peso jarra llena de agua --> 1.728kg
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What is the value of the underlined digit?
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Answers
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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).
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Answers
Answer:
slope(m)= -3
Step-by-step explanation:
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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.
Graph a line that contains the point (3,-6) and has a slope of
2
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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)