Answer:
angle 5 is equal to angle 1
Answer:
47
Step-by-step explanation:
Using the follwing property
in which x=24 and y=23
so
Answer:
47
Step-by-step explanation:
Lets say 24 is x and 23 is y.
the equation would be x^2 - y^2
this is = to (x-y)(x+y)
substitute the numbers in
(24-23)(24+23)
which simplifies to
(1)(47)
which equals 47
I'm not completely positive but I believe this is how you do it.
7d=4d+21
7d - 4d = 21
3d = 21
3d / 3 = 21 / 3
d = 7
The measure of DE of the triangle is given by law of sines and DE = 31.3
The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ΔDEF
Now , the measure of sides of the triangle are
The measure of EF = 22
The measure of angle ∠D = 43°
The measure of ∠E = 62°
And , the measure of ∠F = 180° - 43° - 62° = 75°
From the laws of sines , we get
a / sin A = b / sin B
On simplifying , we get
EF / sin 43° = ED / sin 62°
So , the measure of DE = ( 22 / 0.7 ) ( sin 75° )
And , the measure of DE = 31.3 units
Hence , the measure of DE of triangle is 31.3 units
To learn more about laws of sines click :
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Help me please
Answer: z=56
Step-by-step explanation:
Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.
3y+8=68 [subtract both sides by 8]
3y=60 [divide both sides by 3]
y=20
We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.
360-68-68=224
Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.
Equation 1: 4x=2z
Equation 2: 4x+2z=224
We can manipulate Equation 1 to be . Once we plug that into Equation 2, we can find the value of z.
[multiply]
[add]
[divide both sides by 4]
Now, we know that z=56.
Sometimes
Never
Answer:
The answer is never.
Step-by-step explanation:
A scalene triangle is the one, which has all the three sides unequal. A scalene triangle has no equal sides so it has no lines of symmetry as a line of symmetry would divide the triangle evenly.
Therefore, the answer is never.
A scalene triangle NEVER has symmetry with respect to a line containing an altitude of the triangle.
Answer: Never/False
Explanation: A scalene triangle "never" has a symmetry with respect to a line containing an altitude of the triangle.
Hope this helps!
Thank you :)
-Charlie