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
Which one is correct ; BODMAS , BOMDAS, BIDMAS or PIDMAS?
Answers
Answer:
BODMAS
Step-by-step explanation:
BODMAS is correct.
Brackets
Of
Division
Multiplication
Addition
Subtraction
3x+15=6x the property of this
Answers
Answer:
x = 5
Step-by-step explanation:
3x + 15 = 6x
Solve using inverse operations
3x + 15 = 6x
-3x -3x
15 = 3x
/3 /3
x = 5
Which of the following expressions are equivalent to this expression
-1(0) = ?
0 -1[4 + (-4)]
-1[4 + (4)]
O 1 + [4 + (-4)]
O-11-4 + (-4)]
Answers
Answer:
so It A -1{4 + (-4)}
Step-by-step explanation:
take the quiz
The perimeter of a rectangle
is 44. The lenght is 5 less
than double the width.
Find the dimensions.
Answers
Answer:
9,13
Step-by-step explanation:
perimeter=2(x+y)
length = 2x-5
2(3x-5)=44
6x-10=44
6x=54
x=9
y=13
Hope this helps plz mark brainliest :D
which of the following lines is perpendicular to y = -5x - 2?
a. y = -5x +5
b. y = 5x - 1
c. y = 1/5x + 1/5
d. y = 2/5x + 3
Answers
Explanation: The slope of a perpendicular line is an opposite reciprocal of the original slope/line. (Basically switch the numerator and denominator and the sign. In this case, the slope is -5/1x. It’s opposite reciprocal is 1/5x.)
You can take a look at my notes for further clarification. Hope this helps!
The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.
(0,0)
(1,9.7)
(4,38.8)
Question 2
The unit rate is
feet per second.
Answers
Answer:
2
Step-by-step explanation:
2
Tom woke up one morning and the temperature was −6° Celsius. The high temperature that day was 6° Celsius. What was the difference between the low temperature and the high temperature that day?
Answers
Answer:
12˚C
Step-by-step explanation:
If the high temperature is 6˚ and the low temperature is -6˚, the difference is
6˚-(-6˚)
=6˚+6˚
=12˚.
To the nearest centimeter, what is the area of the shaded sector in the circle shown below? A. 12 cm2 B. 151 cm2 C. 23 cm2 D. 138 cm2
Answers
Step-by-step explanation:
what are the sides given?
Answer:
The correct answer is D:
Step-by-step explanation:
I just got it correct.[tex]138 cm ^2[/tex]
Mass = 65 kg
Acceleration = 0.3 m/s2
Force =
Answers
Answer: 19.5 N
Step-by-step explanation:
Answer:
The answer is 19.2N
Step-by-step explanation:
F=m a
F=64*0.3=19.2N
Will give brainliest please be CORRECT.. thank you..
Answers
Answer:
undefined
Step-by-step explanation:
if you try to calculate the slope using any method, you won't be able to come up with an answer
Evelyn drove 248 miles in 8 hours. If she continued at the same rate, how far would she travel in 6 hours?
Answers
Answer:
186
Step-by-step explanation:
248÷8 = 31
31 miles = 1 hour
31×6 = 186
Answer:
186 miles in 6 hours.
Step-by-step explanation:
Since the problem gives 248m/8h, you would divide 8 into 248 to get the constant speed of 31mph. If you multiple 31 by 6, you get 186 miles after 6 hours.
On Monday, Rachel bought company stock for $39.60 per share. On Tuesday, the share price changed by -$2.35. On Wednesday, the share price changed by +$1.45. What is the share price at the end of Wednesday?
Answers
Answer: i belive that it is 38.70
Step-by-step explanation: 39.6 - 2.35 + 1.45 = 38.70
Answer:
38.70
Step-by-step explanation:
geometric of
1/3, 2/9, 4/27, 8/81, 16/243
Answers
n
=
2
n
−
1
3
n
Divide helpppppppppppppppppp
Answers
Answer:
347
Step-by-step explanation:
You need to see how many times 56 fits inside of 19,432. Long division works best for this case
What is the equation of the line that passes through the points (-2,5) and (1,-1)?
Answers
Answer:
Step-by-step explanation:
That is the first
Answer:
1)y-3x=11 You clicked the right one
i am trying to remember how to do Write a two-column proof,
Given: a = 2b + 6
a = 9b - 8
Prove: b = 2
Answers
9514 1404 393
Explanation:
Make use of the properties of equality.
a = 2b +6 . . . . . given
a = 9b -8 . . . . . given
2b +6 = 9b -8 . . . . . . . substitution property of equality
6 = 7b -8 . . . . . . . . . . . subtraction property of equality
14 = 7b . . . . . . . . . . . . . addition property of equality
2 = b . . . . . . . . . . . . . . . division property of equality
b = 2 . . . . . . . . . . . . . . symmetric property of equality
Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)
Answers
Answer:
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = = -13
Step-by-step explanation:
Given that a = -1, b=2 and c= -3
find the value of a([tex]b^{2}[/tex]+[tex]c^{2}[/tex])
Just substitute the values given for each variable
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)([tex]2^{2}[/tex]+[tex](-3)^{2}[/tex]) ; do the exponents first
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = -13 ; and multiply by -1
Arrange the four numbers shown least to greatest 3.0,250%,-15/4,25
Answers
Answer:
-15/4, 3.0, 25, 250%
I hope this is correct sorry if it isnt
Step-by-step explanation:
What are the complex solutions to the following equation?
- 2x²+2x-3=0
Answers
Answer:
lol
Step-by-step explanation:
laugh out loud
Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel lines. Measure the lengths of the four line segments.
Answers
Answer:
Picture?
Step-by-step explanation:
Answer:
heres the picture
Step-by-step explanation:
anyone help please?
i’m confused.
segment and angle bisectors.
Answers
Else than that is here
Check it out
Here is the working
Hope it helps :)
(02.07)
Plssss Help me this is die in a hour
Sydney is 5 feet and 1 inch tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters)
Answers
Answer:
154.94 cm or 155 cm rounded to the nearest tens
The veterinarlan told Sally that her cat needs to lose 5 pounds. A healthy weight loss for her cat would be about 1 pound every 2 weeks. To model this situation, she graphed the following line, where y represents the number of pounds left to lose and x represents time in weeks. The equation for this line is y= ___x +___. If she continues the line, she would see that it would take ___ weeks for her cat to lose 5 pounds
Answers
Answer:
it would take the adverage of 10 weeks for her to lose 5 pounds did that help?
Step-by-step explanation:
For the following pairs of equations explain why the equations are NOT equivalent.
Answers
I have 5 digits. My q is worth q * 10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am l
Answers
Answer:
92,776
Step-by-step explanation:
I have 5 digits. My 9 is worth 9*10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am I?
My 9 is worth 9*10,000 = 9 * 10,000
= 90,000
My 2 is worth 2 thousand = 2,000
One of my 7s is worth 70 = 70
The other is worth 10 times as much = 70 * 10
= 700
My other digit is a 6 = 6
The number is
90,000 + 2,000 + 700 + 70 + 6
= 92,776
The price of a computer was decreased by 20% to £420.
What was the price before the decrease?
Answers
Answer:
£525
Step-by-step explanation:
420 ÷ 0.8 = 525
Write a piecewise function for the graph.
Answers
Similar to Modulus, but It's separated.
Since both are separated, that means - they are both linear function.
The range is greater than all negative numbers. That means y ≥ 0
( 1 ) For the blue graph,
y = -x-3 {y ≥ 0} ---------- Blue Graph Answer
-x-3=0
-x=3
x=-3
We can clearly see that the slope is -1.
And intercept x-axis at (-3,0)
( 2 ) For the red graph.
y = 2x+6 { y ≥ 0} ---------- Red Graph Answer
Notice that the slope is 2.
And intercept x-axis at (-3,0)
Also intercept y-axis at (0,6)
2x+6=0
2x=-6
x=-3
---------- Only linear function with given y ≥ 0 can draw that. (Only separated graph.) --------------
Find the slope of the line that passes through the points (1.2) and (2.6).
Answers
Answer:
4
Step-by-step explanation:
Use slope intercept form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{6-2}{2-1}[/tex] = [tex]\frac{4}{1}[/tex] = 4
PLZ HELP!
What is the domain and range for the function graphed to
the left?
Answers
Answer:
Domain: (-∞, ∞)
Range: (-∞, -3]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
We know that the parabola will continue indefinitely, hence we use infinity. Our domain would then be from negative infinity to positive infinity, because we can plug in any number x.
We see the from the graph that the y-value is actually restricted. We have a max value of y = -3, and the graph will never go higher than that. Therefore, our range spans from negative infinity to -3.
Step-by-step explanation: The range of a function
is the set of all y values of the function.
The y values on a coordinate system are the up and down values.
Our parabola is expanding infinitely downwards but
it never goes above the y value of -3.
So we say that the range of this function is {y: y ≤ -3}.
The domain is the set of all x values or left and right values.
Since it's expanding infinitely to the left and right,
we say that the domain is the set of all real numbers or R.
what is 4/9 × 3/16 asap help it would mean so much
Answers
Answer:
0.083
Step-by-step explanation:
Step-by-step explanation:
.083 repeating
