Answers
Answer:
FG || BC.
Step-by-step explanation:
In the diagram, which is not drawn to scale, DE | FG || BC.
The measure of DA is 20 cm, the measure of EG is 12 cm and the measure of GC is 18 cm.
What is an equal intercept theorem?The theorem states if a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts. It means that given any three mutually perpendicular lines, a line passing through them forms intercepts in the corresponding ratio of the distances between the lines.
Here, EG = GA - AE
= 36-24
= 12 cm
Here, ΔADE is similar to ΔAGF
Now, AE/GA = AD/FA
⇒ 24/36 = AD/(AD+10)
⇒ 24 (AD+10) = 36AD
⇒ 24AD+240 = 36AD
⇒ 12AD =240
⇒ AD =20 cm
Here, ΔAGF is similar to ΔABC
Now, 30/45 = 36/AC
⇒ 30AC = 36×45
⇒ AC = 54 cm
So, GC = 54-36 = 18 cm
Therefore, the measure of AD is 20 cm, the measure of EG is 12 cm and the measure of GC is 18 cm.
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Related Questions
Javier is buying fencing to surround his garden. If his garden has a perimeter of 30 yards, and fencing costs $6.00 a yard, how much money will he need for the fencing?
Answers
$180
Step-by-step explanation:
30 x 6 = 180
Answer:
180 it is basic multiplication
Step-by-step explanation:
Find the slope of the line through the given pair of points.
(-11,-4).(-6,5)
Answers
✍️
The answer is ✊✌️I forgot the answer but hanks for the points
The system shown has one solution; convince me that the solution exists
without solving it or graphing it?
2x - y = 5
x + 3y = -8
Answers
Answer:
(1, -3)
Step-by-step explanation:
Is 84 / 56 = 16 / 9 proportional
Answers
Answer:
No
Step-by-step explanation:
84/56=1.5
16/9=1.78
Answer:
no
Step-by-step explanation:
its not
Quien responda la operación se lleva 100 puntos en mi otra cuenta
Answers
Answer:
no me acuerdo
Step-by-step explanation:
sorry
Answer:
13.824
aclaracion: eso que esta al lado del signo de multiplicacion es 4 verdad?
en caso de que en realidad sea un 1 la respuesta es
0.216
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answers
Answer:
f(h(x)) = 2x - 4
Step-by-step explanation:
To find the rule for f(h(x)), substitute h(x) = 2x + 3 into f(x) = x - 7:
f( ) = ( ) - 7 becomes
f(h(x)) = (2x + 3) - 7, or 2x + 3 - 7, or f(h(x)) = 2x - 4
If a=-3, b=6, C=-5, what is the vertex?
Answers
Answer:
use the formula a(x-h)2+k
Which equation represents the solution of the equation 6x – 18 = 30?
Answers
Answer:
x=8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x-18-(30)=0
STEP 1:
Pulling out like terms
Pull out like factors :
6x - 48 = 6 • (x - 8)
STEP 2:
Equations that are never true:
Solve: 6=0
This equation has no solution.
Solving a Single Variable Equation:
Solve : x-8 = 0
Add 8 to both sides of the equation :
x = 8
A pilot is traveling at a height of 30,000 feet above level ground. She looks down at
an angle of depression of 6° and spots the runway. As measured along the ground, how
many miles away is she from the runway? Round to the nearest tenth of a mile.
Answers
Answer:
540.6 mi
Step-by-step explanation:
The angle of depression = angle of elevation = 6°
Let x = the distance to the runway.
tan 6 = 30000/x
xtan 6 = 30000
x = 30000/tan 6 =285430.9 ft
285430.9336.../5280 = 540.6 mi
A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression then she is 540.6 miles away from the runway.
What is meant by angle of depression?A depression angle is formed when the viewer is higher than the object they are looking at. When a viewer looks at an object at a closer distance than themselves, an angle is formed under the horizontal line drawn at the viewer's eye level and the line connecting the object to the viewer's eye.
Elevation angle is the angle formed when a person stands on the ground and looks at an object above the ground at a height above the person's height. This is the basic difference between the two angles. Both angles are calculated using trigonometry concepts.
The angle of depression is defined as the angle formed by the horizon and the line connecting the object to the viewer's eye. This angle depends on two factors: altitude and distance.
Given: A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression.
The angle of depression = angle of elevation = 6°
Let x be the distance to the runway.
tan 6 = 30000/x
simplifying the above equation, we get
x tan 6 = 30000
x = 30000/tan 6 = 285430.9 ft
285430.9336/5280 = 540.6 mi
She is 540.6 mi away from the runway.
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Tom has three times as many action figures as Jerry. If Tom has 27 action figures, how many does Jerry have? Write an equation that represents the scenario. Then solve.
Answers
Answer:
Jerry has 9 action figures.
Step-by-step explanation:
Since Tom has three times as many action figures as Jerry, Tom has 3x action figures, where x is the number of action figures that Jerry has.
Since Tom has 27 action figures, we can say that 3x=27.
3x=27
x=9
the exponent form of 3 under root 7
Answers
Answer: 3[tex]\sqrt{x} 7[/tex]
Step-by-step explanation:
3 under root 7
[tex] \sf {3{\sqrt{7}}} \\\\ \implies \sf{3.7^{\dfrac{1}{2}}} \\\\ \implies \sf{ (3^2)^{\dfrac{1}{2}}} \times 7^{\dfrac{1}{2}} \\\\ \implies \sf{ (9\times7)^{\dfrac{1}{2}}} \\\\ \implies \sf{63^{\dfrac{1}{2}}} [/tex]
Help! Sorry if it’s hard to see it would not look different everytime I retook the picture! :)
Answers
Answer:
d = 11.401754
For:
(X1, Y1) = (5, 4)
(X2, Y2) = (-4, -3)
Distance Equation Solution:
=√ (-4−5)2+(−3−4)2
=√ (-9)2+(−7)2
=√ 81+49
=√ 130
=11.401754
12,10,15, 13.18.16.21.19 what comes next .
Answers
Identify the angles of elevation and angles of depression
Answers
Answer:
1 is depression
2 is elevation
3 is depression
4 is elevation
Step-by-step explanation:
The diagram shows a 6 ft student standing near a tree. The shadow of the student and the shadow of the tree ends at point A. What is the height of the tree?
Answers
Answer: 18ft
Step-by-step explanation: I took the quiz and got 100%
The height of the tree is 8.3 ft.
To solve this problem, we have to find the angle of elevation from the student.
To do this, we have to assume or bring out a right angle triangle and solve for the.
Given that we have the distance of A to F and the point to F
A to F = 5ftE to F = 6angle ?Trigonometric RatioUsing trigonometric ratio,
We can find the tangent of this angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan\theta = \frac{6}{5}\\ tan \theta = 1.2\\\theta = tan^-^1(1.2)\\\theta = 50.2^0[/tex]
The angle of elevation can be calculated using sum of angles in a triangle is equal to 180 degrees
[tex]180 = 90 + 50.2 + x\\x = 180- 140.2\\x = 39.8^0[/tex]
Assuming a right angle triangle from the point the student is standing, the distance from him to the tree would be
[tex]15 - 5 = 10ft[/tex]
Let's use the tangent of the angle to find the height of the tree.
[tex]tan\theta = \frac{opposite}{adjacent} \\tan 39.8 = \frac{x}{10}\\x = 10 tan39.8\\x = 8.3ft[/tex]
From the calculations above, the height of the tree is 8.3 ft.
Learn more on trigonometric ratio here;
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can someone help me ????
Answers
Answer:
it belongs to your classes. we use all commonly.it is not your answer. KT depends on you
Simplify the expression (5/3)^3
Answers
Answer:
4 17/27
Step-by-step explanation:
Answer:
5 ÷ 3 = 1.66666666667 x 3= 5.00000000001
of 5/3 (five thirds) x 3 = 5
I wasn't sure if the first digits were fractions or a division expression
anyone? match need it in a rush
Answers
Answer:
U can transform it byStep-by-step explanation:
pls help:) 33 points:))
Answers
Write an
explicit formula for
an,
then
th
term of the sequence 100, 20, 4, ....
Answers
Answer:
Step-by-step explanation:
a1 = 100
r = 1/5
an = 100 (1/5)^(n - 1)
Try it. We have the answer for a_3
a_3 = 100 * (1/5)^(3 - 1)
a_3 = 100 * (1/5)^2
a_3 = 100 * 1/25
a_3 = 4 which is just what the series says should be the answer.
The ratio table shows the costs for different lengths of silver chain. Find the unit rate in dollars per inch
Length (inches) 16 18 20 22
Cost (dollars) $36.00 $40.50 $45.00 $49.50
The unit rate is $__ per inch.
Answers
Answer:
2.25
Step-by-step explanation:
yes
The unit rate of the silver chain is $0.44 per inch.
What is the unit rate?Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.
Given here: 16 inches of silver chain costs $36 and 18 inches cost $40.50
Thus we have the unit rate( dollar/inch) =36/16=40.50/18=4/9
Therefore the unit rate is given by 4/9 or 0.444 dollar per inch.
Hence, The unit rate of the silver chain is $0.44 per inch.
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Alice walks her dog on a 10-foot leash.
While Alice is standing still, what is the
area of space the dog has to roam while
on the leash?
Answers
Answer:
31.4159...feet
Step-by-step explanation:
The area of a circle is 2x radius squaredx pi
Marsha swam 400 meters in 6 minutes and 12 seconds. Convert that time to minutes
Answers
Answer 6.2 minutes
Step-by-step explanation:
convert it into a decimal
Simplify
[-2(g + 2h) - 4g21 - [-g(5 - 2g) + h]
Answers
-2(3)
-6-4g21-[-g(5-2g)+h]
-g (3)+h]
[ -3+h]
-6-4g21-2
-10g21-2
-210-2
-212
help please asap my teacher if just giving it to us
Answers
х
-2
0
N
4
6
g(x)
4
1
-2
-5
-8
Answers
4w-3(-5z+2w)-2z
-3(w+6)+5w
simplify PLEZEZEZEZE I NEED THIS ASAP PLZZZZZ I WILL FAILL IF I DONT GET THIS RIGHT plz dont give me wrong answer :( plz helpppppppppppppppppppp
Answers
Evaluate the expression for j = 4.
20 − 2j =
Answers
Bc 2 times 4 equals 8 subtract that by 20 and it will have u 20
what is the equation of the line with a slope of -3/4 that passes through the point (4,-2)?
Answers
Answer:
y=-3/4x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-3/4(x-4)
y+2=-3/4(x-4)
y=-3/4x+12/4-2
y=-3/4x+3-2
y=-3/4x+1
I need to answer these questions ASAP! Will give brainiest and helpful!
8) Write the unit rate of $7.35 for 5 ¼
ounces.
9) Fresh grapes cost $ 15.70 for 5
pounds. What does 1-pound cost?
10) If the total cost (t) is $535 for 20
calculators (c). What would the
equation look like
and what is the constant of
proportionality (K)?
Answers
9) 3.14 for 1 pound
10) K = t/c
Hope all this helps you out.
