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
X^2-8x-36=0
solve by completing the square
ANSWER ASAP
Answers
Answer:
hope it helps
During a 12-hour period, the temperature rose by 48*f. The temperature rose the same number of degrees each hour. How many degrees did the temperature rise each hour?
Answers
Answer:
4 degrees per hour
Step-by-step explanation:
48 degrees per 12 hours = 48/12 degrees per hour = 4 degrees per hour
The length of a rectangle is three times its width of the perimeter of the rectangle is 40 yd find its length and width
Answers
Answer:
Step-by-step explanation:
L= 3W
Perimeter = 2(l+w) = 40
2(3w+w) = 40
2*4w = 40
8w =40
w = 5
l = 3*5 = 15
Write the equation of the line in slope-intercept form that goes through the points: (0, 5) and (4, 5)
Answers
Answer:
Step-by-step explanation:
The equation of a line written in slope-intercept form should be written as : y = mx + b
where m is the slope and b is the y-intercept.
We can find the slope, m, using the 2 points given:
(y2 - y1) / (x2 - x1) = (-12 -6) / (5- -4)
m= -18/9
m = -2
Then we can use this slope and one of the two points to find the intercept. Either point is fine but let's use (-4 , 6):
y = -2x + b
6 = -2 * -4 + b
6 = 8 + b
6-8 = 8 + b -8
-2 = b
The final equation of the line is: y = -2x -2
can anyone help me!!!
Answers
Answer:
A
Step-by-step explanation:
-3(5x)=-15x
-3(-2)=6 (negative times negative = positive)
so... -15x+6
What is 1.2 called in a division problem?
Answers
help ill put the pics below
Answers
Answer:
A
Step-by-step explanation:
can someone explain to me how you figure out if a triangle is obtuse, acute or a right angle? i will give 20 points
Answers
Answer:
Right angle is 90 degrees, belowe 90 degrees is acute, and above 90 degrees is obtuse
Step-by-step explanation:
Right angle = 90degrees
Acute angle = <90degrees
Obtuse angle = >90degrees
Answer:
To figure out if a triangle is obtuse, There would be one angle that is over 90 degrees. If it is an acute triangle, all of the angles would be smaller than 90 degrees. If it is a right triangle, there would be one angle that is 90 degrees and the other 2 angles would be acute.
If the base angles of a triangle are congruent, use the Law of Sines to show the triangle is isosceles.
Answers
Answer:
The Isosceles Triangle Theorem States that if a triangle contains 2 congruent sides, then the angles opposite those sides are congruent. This theorem can be proved using the Law of Sines: The Law of Sines states that: asinA=bsinB=csinC If a=c, making △ABC an isosceles triangle, then asinA=asinC!
The school band needs to raise more than $16,000 to buy new uniforms. They have already raised $4,000. The need to raise the remaining amount of money over the next 6 months. Which inequality represents the amount of money, m, the school band must raise next month to purchase the uniforms?
6m + 4,000 > 16,000
6m + 4,000 <16,000
6m - 4,000 > 16,000
6m - 4,000 < 16,000
Answers
Answer:
B
Step-by-step explanation:
3
The diagram represents a portion of a small city. Maple Street and Pine
Street run exactly east to west. Oak Avenue runs exactly north to south.
All of the streets remain straight.
Answers
All the statements that must be true are in options [tex]A, B, D, E[/tex].
What are parallel lines?Parallel lines are those line which never intersect and maintains a constant distance.
We have,
From the given diagram,
Maple Street and Pine Street run exactly East to West.
And,
Oak Avenue runs exactly North to South.
Now,
From the given diagram,
A. Birch street and Elm street intersect at right angles. - True
B. Maple Street and Pine Street are parallel. - True
D. Pine Street intersect both Birch street and Elm street. - True
E. Oak Avenue and Maple Street are perpendicular. - True
Hence we can say that all the statements that must be true are in options [tex]A, B, D, E[/tex].
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Suppose y varies directly as x, and y =16 when x=8. Find y when x=5
Answers
Answer:
y is 10 when x is 5
Step-by-step explanation:
x is always half of y, based on this we need to multiply x by 2 y is 10
Answer:
the answer is
{153}⅚⅞²±(2)9
solve by substitution y - 3x = 2, x - 2y = -6
Answers
y=2+3x
putting value on second equation we get..
x-2(2+3x)=-6
x-4+6x=-6
7x=-2
×=-2/7
& y=2+3(2/7)
y=2+0.87
y=2.87..Ans..
Answer:
x= 2/5
y= 3.2
Step-by-step explanation:
y-3x=2
y=3x+2
replace y with 3x+2 in second equation;
x-2(3x+2)= -6
x- (6x+4)= -6
x-6x-4= -6
-5x-4+4=-6+4
-5x= -2
x= 2/5
y=3x+2
y=(3×2/5) +2
y= 3.2
what is equal to 4.2 kilometers
4,200 meters
420 meters
420 centimeters
4,200 centimeters
Answers
Answer:
4,200 metersHow do you convert meters to kilometers formula?Meters to Kilometers Conversion1 Meter (m) is equal to 0.001 kilometer (km). To convert meters to km, multiply the meter value by 0.001 or divide by 1000. For example, to convert 100 m to km, multiply 100 by 0.001, that makes 0.1 km is 100m .
Step-by-step explanation:
Hope it is helpful.....
A box has the following dimensions: length = x +7, width = x - 4, height = 2x-6. Find the volume of the box if x is 5
Answers
8th grade math!!
please helppp
Answers
Noticed how it forms a supplementary angle.
A supplmentary angle is basically two angles that added up to 180 degrees.
So we have:
64 + x = 180
Then we solve for "x", so "x" = 116.
Hope that makes sense :)
180-64=116
Hope this helps! Have a good day!
Se tienen dos dados, uno
rojo con puntos que
representan números
positivos del 1 al 6 y el otro
azul, que representan a los
números negativos del uno
negativo al seis negativo. Al
tirar ambos dados, se
obtuvieron los siguientes
puntos: (+2).(-5). ¿Cuál es el
resultado de sumar los
puntos?. Aplica el método de
descomposición-
simetrización-anulación.
Answers
Answer:
oooo[[oooo seven. my boy o girl
Answer:
-3
Step-by-step explanation:
porque si debes 5 y pagas 2 quedas debiendo 3 sé que no es la mejor explicación pero bueno...
A car dealership buys a car for $12,500. They sell the car for $15,750. What is the percent markup?
Answers
Answer: 26%
Step-by-step explanation:
The formula to calculate the percentage markup is given as:
= Selling price - Cost / Cost price × 100
where selling price = $15750
Cost price = $12500
Percentage markup = ($15750 - $12500) / $12500 × 100
= $3250/$12500 × 100
= 26%
Answer: 26
Step-by-step explanation:
12,500 - 15,750= 3250
How do you write 0 to the power of 2 on a keyboard and what does is the answer to it?
Answers
Answer:
0^2
Step-by-step explanation:
i think it will be 0 only
And to answer how to write power on a keyboard, press shift+6 than your number
PLZZ HELP ME...I AM FAILING THIS CLASS...WILL GIVE BRAINLIEST..THANKYOU SO MUCH!!
Answers
1. 20
2. 16
I think
.
.
.
2 16
:) gdgzfdhhdhdhdhddhdhhddhfdhjsjshdhdhhdhdhdfhhfhdhdhhdhdhgggdh
What is the first step when multiplying mixed numbers.
Answers
Answer:
To multiply mixed numbers, first change any mixed number to an improper fraction. Then multiply the numerators together and the denominators together, as shown in Example .
Step-by-step explanation:
How many square inches are in 60 square feet?
5 square inches
72 square inches
720 square inches
8,640 square inches
Answers
Answer:
8,640 square inches.
Formula: multiply the Area value by 144.
Answer:
The answer is D. 8,640 square inches.
Step-by-step explanation:
Put the numbers in order from smallest to largest.
1. fifth
4.9
2. third
5.0
3. sixth
3.6
4. first
3.1
5. fourth
4.2
6. second
4.5
Answers
Answer:
First - 3.1
Second - 3.6
Third - 4.2
Fourth - 4.5
Fifth - 4.9
Sixth - 5.0
Step-by-step explanation:
Hope it helped!
(Need Help Quickly) find the measurement indicated in each trapezoid. (ISOSCELES TRAP) Do NOT include units (degrees, inches, feet, etc).*
Answers
Answer:
Notice in my attached drawing that I have located point H in two different locations, point H and point H2 for argument purposes.
Line FE is equal to line GH in length.
angle at corner F is 95 degrees.
The angle at point E varies with the location of point H, or with the length of line FG.
More information is needed to determine an exact angle at point E.
HELP WHAT IS THE SLOPE!!!!!!~!~!
Answers
Answer:
9/7
Step-by-step explanation:
when a line is parallel, its has the same slope just a different intercept spot
PLEASE HELP ASAP WILL GIVE BRAINIEST
Answers
Answer:
15^7/4
Step-by-step explanation:
A=15 b=7 c=4
.......
Answer:
A = 15 C= 7 B=4
Step-by-step explanation:
Okay so as you can see there is [tex]15^{7}[/tex] so A would be 15 and C would be 7 and B would be 4
Simplify (5xy)6
...........................
Answers
Answer:
15625x^6y^6
Step-by-step explanation:
5^6= 5×5×5×5×5×5=15625
(xy)^6=x^6y^6
The regular price of a pair of shoes is $65.00. The shoes are on sale for $58.50. What is the percent decrease in the price of the shoes?
Answers
Answer:
10%
Step-by-step explanation:
65.00x10%=6.50
65.00-6.50
0r you can do
65.00-10%=58.50
(2n4 - 13n3 + 32n2 – 51n – 54) = (2n – 9)
Answers
Answer:
2n-9
Step-by-step explanation:
Which of the following expressions are equivalent to 7×7×7×7 ? Select all that apply.
A)47
B)74
C)77
D)28
E)2,401
F)16,384
