What is the value of x in the figure shown below?
E
c
4.8
4.8
A
53°
86°
3.1
3.1
B
20
D
Answers
The value of x from the triangle ΔEAD is x = 41°
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔEAD
Now , the measure of side AC = 4.8
The measure of side BA = 3.1
And , the measure of side EA = 4.8
The measure of side DA = 3.1
And , Corresponding sides of similar triangles are in the same ratio
So , the triangles ΔABC and ΔEAD are similar
Therefore , the angles will also be congruent
The measure of ∠ACB = The measure of ∠DEA = x°
The measure of ∠DEA = 180° - ( 53° + 86° ) ( angles of a triangle = 180° )
On simplifying the equation , we get
The measure of ∠DEA = 41°
Hence , the measure of x = 41° and they are similar triangles
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Related Questions
Please awnser this and give me the right awnser
Answers
Coefficient is 8
Constant is 3.2
Hope this helps
Can I have brainliest?!?
plity -2 -6.452 - 6+(-3.252).
Answers
Anser -17.704
Step-by-step explanation:
i used a calculator
find the length of the third side of the right triangle!!!!
Answers
Answer:
8
Step-by-step explanation:
There are two ways to solve this!
1. Use the Pythagorean Theorem
a^2 + b^2 = c^2
6^2 + b^2 = 10^2
100 - 36 = b^2
64 = b^2
8 = b
2. Shortcut using 3-4-5 triangles
A 3-4-5 triangle has to do with the ratios of each side.
In this case, it's 6-8-10, as each number is multiplied by two with the same 3-4-5 ratio. This is a good shortcut for these types of problems and will be handy on tests like the SAT as well! :)
Please helpp!
Which postulate proves these two
triangles are congruent?
A. ASA
B. SAS
C. None, not congruent
D. HL
Answers
Answer:
it may be B but I think it's C
Step-by-step explanation:
not sure if this is right, but I would say not congruent. it may be sas but in order for it to be sas then the Angle must be in-between the two congruent sides
Both triangles are congruent by (SAS) side-angle-side postulate.
The correct option is B.
What are congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.
Given,
Two triangles
ABC and DEC
AB = DE (Given)
BC = EC (Given)
∠ACB = ∠DCE (Vertical angles at intersection of DB and AE)
By, Side-Angle-side theorem of congruent triangles,
ΔABC ≅ΔDEC
Hence, by side-angle-side (SAS) postulate, both triangles are congruent.
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I don’t understand this at all and it’s due tomorrow! Please help!
Answers
Answer:
5) First you have to find x, then use it with supplementary angles theorem.
6) STQ = 150˚
Step-by-step explanation:
To find x, add (2x+8), (71-x), and 90˚ together to add up to 180˚ (those three angles are supplementary):
(2x+8) + (71-x) + 90 = 180˚
x + 169 = 180
Then solve for x:
x = 11
You can check if x is right by inputing it back into the two equations and see if all three of the angle measures together equal 180˚.
Now, you only need m∠MTS (2x+8) to find m∠STQ...
m∠MTS + m∠STQ = 180˚ because they are supplementary angles.
Input the found x to find m∠MTS:
(2(11)+8) = 30
Subtract 30 from 180 to find m∠STQ:
180 - 30 = 150
m∠STQ = 150˚
Hope this helped :)
Find the measure of the indicated angle
Answers
Answer:
36°
Step-by-step explanation:
(6x)° + 54° = 90°
(complementary angles)
(6x)° = 90°- 54°
(6x)° = 36°
three decimal numbers that when rounded to the nearest hundredths place will round to the number 6.75.
Answers
Answer:
6.7491, 6.7524, 6.7463
Step-by-step explanation:
in QRS the measure S=90ft the measure Q=79ft and RS=63ft find the length of QR to the nearest tenth of a foot
Answers
Answer:
64.2
Step-by-step explanation:
im not sure
c - 21 = 16
c=___? HELP!
Answers
Answer:
Original equation: C-21=16
Add 21 to both sides: C=37
Hope this helps!
Please help! Will mark brainliest!
Simplify. [tex](3a^{2}*-3a)[/tex]
Answers
Step-by-step explanation:
Since -3a can be said to have a power of 1, we add the powers together and multiply the coefficients
-9a³
If 12x – 20 =
10x + 20 what is the value of 3x ?
Answers
Answer: 3x=60
Step-by-step explanation:
12x-20=10x+20
X=20
3(20)= 60
Which equation has the same solution as x^2+10x+9 = 4
Answers
9
(
1
×
9
,
3
×
3
,
9
×
1
)
(
x
−
9
)
(
x
−
1
)
=
0
Now, solve each factor for
0
:
x
−
9
=
0
x
−
9
+
9
=
0
+
9
x
−
0
=
9
x
=
9
and
x
−
1
=
0
x
−
1
+
1
=
0
+
1
x
−
0
=
1
x
=
1
PLEASE HELP ME WITH THIS FOR BRAINLIEST
Answers
Answer:
516
Step-by-step explanation:
to solve this equation, multiply both sides by 4
a/4 * 4 = 129 * 4
a = 516
Answer:
a= 516
Step-by-step explanation:
a= 129*4
4*129 = 516
If you want to buy an item in a store that costs $36.50 and is on sale for 40% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answers
Answer:
i think its 21.90
Step-by-step explanation:
i did the math
Find the positive value of x that makes the following equation true?
x^2 − 1 4 = 5x + 67 − 5x
Answers
Answer:
x=9
Step-by-step explanation:
x^2 = 5x + 81 -5x.
x^2 = 81
x=9
Pls help. Free crown to first answer.
Answers
Answer:
Ummm, thanks I guess?
Step-by-step explanation:
Find the volume of the cylinder. Round your answer to the nearest tenth
2 in.
7 in.
Answers
Pi x 2 squared x 7
= 90cm cubed
Find the diameter of the circle. please.
Answers
Answer:
4
Step-by-step explanation:
2*radius
Answer:4
Step-by-step explanation:
2*2=4
Write the equation of the line in slope-intercept form. Explain how you found the slope and the y-intercept .
Answers
Answer:
sry i dont know........
solve the equation multiple choice
Answers
Answer:
x= {-29}
Step-by-step explanation:
.....................................
Please help! I need an explanation also because I am currently having trouble
Answers
Answer:
E = 80 degrees
Step-by-step explanation:
7x + 3 + x + 15 + 74degrees = 180
8x + 92 = 180
8x = 180 - 92
8x = 88
x=11
m<E = 7x + 3
7(11) + 3
77 + 3
= 80
Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10
Answers
Bottom one is 5 divided by 2
pls help ......................
Answers
Answer:
the answer will be
50
Step-by-step explanation:
5 x 10= 50
Which type of data is best represented using a line plot?
data that changes over time
data that is spread out over a large range of numbers
frequency data that can be plotted under categorical headings
frequency data that can be plotted on a number line
Answers
Answer:
Aa 1
Step-by-step explanation:
Find the domain and range of the function:
fx) = -√5-x-3
Domain:
Range:
DONE
Answers
Answer:
Domain: [tex]x\leq 2[/tex]
Range: (∞,0)
Step-by-step explanation:
solve using inverse operations:83 + q = 125; q=
Answers
Answer:
42
Step-by-step explanation:
subtract 83 from both sides geet q=42
X, Y and Z are partners in a firm in the ratio of 1/2 :1/3:1/6
Y retires from business and
X and Z purchase his share of profit in the ratio of 3:2. Find out new ratio
Answers
Answer:
6:2
Step-by-step explanation:
X share from old ratio is 1/2
Y share from old ratio is 1/3
Z share from old ratio is 1/6
Now, we are told Y retires and that X and Z purchase his shares.
Thus;
Amount X took from Y = 1/2 × 1/3 = 1/6
Amount Z took from Y = 1/6 × 1/3 = 1/18
Thus, new share of X is now; 1/6 + 1/2 = 2/3
New share of Z is now; 1/18 + 1/6 = 4/18 = 2/9
Ratio is now X:Z = 2/3 : 2/9 = 6:2
6 and -6 are at the same distance from ____ on the number line.
Answers
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
(NegativeA) + (PositiveA) = 0
Note for future reference:
(NegativeA) + (PositiveB) = (NegativeC)
(PositiveA) + (NegativeB) = (NegativeC)
(NegativeA) + (NegativeB) = (NegativeC)
(PositiveA) + (PositiveB) = (PositiveC)
Hope this helps!alguien me ayuda con esto ?
Answers
Answer:
como vamos a resolverlo si no nos muestra la recta porque en la recta estan los valores
1. How many groups of days are in 1 week?
Write a division equation to represent the question.
Type your equations in the box below.
Answers
Answer:
(14 groups)
14 divided by 7 = 2
Therefore 14 is your answer
Step-by-step explanation:
lol that's all I got