Answers
Answer:
The answer is <ACD = 68°
Step-by-step explanation:
Using the property that the sum of interior angles in a triangle is equal 180°,we have:
<DAC + <ACD + <ADC = 180°
[tex]2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28[/tex]
Finally, calculating the angle <ACD, we have:
<ACD = 180 - 4x
<ACD = 180 - 4 . 28
<ACD = 180 - 112
ACD = 68°
Answer:
x = 28°
m∠ACD = 68°
Step-by-step explanation:
From inspection of the given diagram:
m∠FDC = 124°m∠EAB = 2xm∠ACG = 4xVertical Angle Theorem
When two straight lines intersect, the vertical angles are congruent.
⇒ m∠DAC = m∠EAB = 2x
Angles on a straight line sum to 180°:
⇒ m∠ACD + 4x = 180°
⇒ m∠ACD + 4x - 4x = 180° - 4x
⇒ m∠ACD = 180° - 4x
Exterior Angle Theorem
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.
⇒ m∠DAC + m∠ACD = m∠FDC
⇒ 2x + (180° - 4x) = 124°
⇒ -2x + 180° = 124°
⇒ -2x + 180° - 180° = 124° - 180°
⇒ -2x = -56°
⇒ -2x ÷ -2 = -56° ÷ -2
⇒ x = 28°
To find m∠ACD, substitute the found value of x into the expression for the angle:
⇒ m∠ACD = 180° - 4x
⇒ m∠ACD = 180° - 4(28°)
⇒ m∠ACD = 180° - 112°
⇒ m∠ACD = 68°
Related Questions
Rick has $8x and Helen has twice that amount. They save $3 each per week.
What amount will be the sum of their money 4 weeks from now?
Answers
Answer:(24x - 22)
Step-by-step explanation:
(24x - ww)
Another submarine's descent can be represented as `y=-240x`, where u is the elevation and x is time in hours. How long will it take this submarine to make the descent (2,100 feet below the surface)?
Answers
Answer:
The time it will take is 8hours 45mins.
Step-by-step explanation:
Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.
A descent of 2100 means y = –2100. Hence,
–2100 = –240x
x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).
What are the coordinates of the point on the directed line segment from ( − 4 , 10 ) (−4,10) to ( 2 , − 10 ) (2,−10) that partitions the segment into a ratio of 1 to 3
Answers
Answer:
[tex]Z=(-2.5,5)[/tex]
Step-by-step explanation:
From the question we are told that
Point [tex]a=(-4,10)[/tex]
Point [tex]b= (2,-10)[/tex]
Ratio [tex]r=1:3[/tex]
Generally the section formula is mathematically given as
[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]
[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]
Generally the point P(x,y) is mathematically given as
[tex]x=\frac{1(2)+3(-4)}{1+3}[/tex]
[tex]x=-2.5[/tex]
[tex]y=\frac{(1)(-10)+(3)(10)}{1+3}[/tex]
[tex]y=5[/tex]
Required Co-ordinates Z is
[tex]Z=(-2.5,5)[/tex]
Answer fast!!!!!!!!!!!!!!
Answers
Similar polygons have corresponding sides that are proportional and corresponding angles that are -
A congruent
B parallel
C similar
D proportional
Answers
hope this helped <33
Tessa is training for a marathon. She runs 13 km a day for 3 days. How many meters did Tessa run in all?
Answers
Answer:
39 km
Step-by-step explanation:
13 x 3 = 39km
Hope that helps!
The perimeter of a rectangle is 260 yards. The length is 30 yards greater than the width. Find the dimensions of the rectangle.
Answers
Answer:
width: 50 yards
length: 80 yards
Step-by-step explanation:
I would write an equation to start
x = width
260 = 2x + 2(x + 30)
260 = 4x + 60
200 = 4x
x = 50
Width = 50 yards
Length = width + 30
Length = 50 + 30
Length = 80 yards
A 381 foot cable runs from the top of a radio tower to a skate in the ground. If it hits the ground 167 feet from the base of the tower , what is the angle of elevation that is makes with the ground?
Answers
Answer:
64°
Step-by-step explanation:
Using Pythagoras rule :
Cosθ = adjacent / hypotenus
Adjacent = 167
Hypotenus = 381
Cosθ = 167 / 381
Cosθ = 0.4383202
θ = Cos^-1(0.4383202)
= 64.003
Hence, angle of elevation = 64°
what is 8.154 to 1 decimal place?
Answers
The main point is that you want to round 8.154 to two digits or places after the decimal point. Thus, we want to eliminate the last digit in 8.154. To eliminate the last digit in 8.154, we use the following Two Decimal Places Rules to get the answer:
Two Decimal Places Rule #1: If the last digit in 8.154 is less than 5, then remove the last digit.
Two Decimal Places Rule #2: If the last digit in 8.154 is 5 or more and the second to the last digit in 8.154 is less than 9, then remove the last digit and add 1 to the second to the last digit.
Help please look at the image
Thanks
Answers
Answer: Option 1
Reason: Math
What is the output of the function when the input is 10? On the graph plot this point and label its coordinates
Answers
Answer:
Output value = 20
Step-by-step explanation:
Graph of any function is made up of two values → Values on x axis and Values along y axis.
x values represent the input values and y values represents the output values.
For every x value there is a y value because of which the data set is called to a function.
In other words, a function can't have two output values for a single input value.
If the input value of function is = 10
Then for x = 10, out value (along y axis) will be = 20
Therefore, Output value of the given function is 20.
Help me please !!!
And thank you
Answers
Answer:
804.4
Step-by-step explanation:
the formula for the volume of a cube is the side length cubed,
so:
(9.3)(9.3)(9.3) = 804.357
then round it to 804.4
hope this helped!
What is the y-intercept, b, of the additive relationship represented by this table?
Enter your answer as an integer in the box.
b =
x y
1 4
3 6
Answers
Answer:
b = 3Step-by-step explanation:
Use the table to find the slope and y-intercept
Find the slope:
m = (6 - 4)/(3 - 1) = 2/2 = 1Find b using the pair (1, 4):
4 = 1*1 + bb = 4 - 1b = 3The line is:
y = x + 3The y-intercept is 3
Answer:
b = 3
Step-by-step explanation:
What is the slope of the line whose equation is -2y = -3x + 5?
Answers
Answer:
[tex]m = \frac{3}{2}[/tex]
Step-by-step explanation:
Use the slope-intercept form y = mx + b to find the slope m.
In this way, we can conclude that we can write it in slope-intercept form, y = mx + b:
[tex]y = \frac{3}{2} x - \frac{5}{2}[/tex]
Your correct answer would be:
[tex]y = \frac{3}{2} x - \frac{5}{2}[/tex]
Have a marvelous day.
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Answers
Step-by-step explanation:
root 3 by 4a²
root3/4*(12)²
36root3
Answer:
A≈62.35cm²
Step-by-step explanation:
A=3
4a2=3
4·122≈62.35383cm²
Please answer the correctly in the picture below 8TH GRADE MATHENMATICS?!
Answers
Answer:
B 3.5
Step-by-step explanation:
Hope it Helps!
Hope it helps my freind
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needed to repair the window?
Answers
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Step-by-step explanation:
multiply base and height this case 24,18. 24x18=432 or 182 x 24=4368
if you using 24 x 18 =432
if you using 182x24=4368
ILL GIVE BRAINLIESAT FOR FIRST ANSWER!
Divide
3÷1/12
Answers
Step-by-step explanation:
is 36 hello my name is santiago i am fron Colombia
7/12
Which expression is equivalent to this fraction?
Answers
Answer:
12/7
Step-by-step explanation:
yes ! cd
Find each missing angle
Please
Answers
Answer:
m<1=61
m<2=40
m<3=60
m<4=80
m<5=100
Step-by-step explanation:
180/3=60
180/9=20
20x2=40
20x4=80
20x3=60
59+60=119
180-119=61
180-80=100
MANUFACTURING. The number of cars built varies
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Answers
Answer:
60 cars per hour
Step-by-step explanation:
The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D
Answers
Answer:
The coordinates of D are (2,-2)
Step-by-step explanation:
The coordinates of point D are (2,-2)
The coordinates of the parallelogram are given as:
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[tex]x_D - x_E = x_G - x_F[/tex]
[tex]y_D - y_E = y_G - y_F[/tex]
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[tex]y_D -4 =0-6[/tex]
Solve for x and y in the above equations
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[tex]x_D +1 = 3[/tex]
[tex]x_D = 3-1[/tex]
[tex]x_D = 2[/tex]
[tex]y_D -4 =0-6[/tex]
[tex]y_D - 4 = -6[/tex]
[tex]y_D = 4-6[/tex]
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A.
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
.3333333
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rickrolled.
Step-by-step explanation:
¯\_(ツ)_/¯
you won't learn by asking others. do it yourself.
Answer:
K
Step-by-step explanation:
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Answers
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31.6
Step-by-step explanation:
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x = 221 / 7
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Answers
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nearest 10th of an inch.
Answers
Answer:
c
Step-by-step explanation:
