Answer:
60 degrees
Step-by-step explanation:
Hello! The side lengths of this triangle are all the same, so this is an equilateral triangle. These types of triangles have equal angles. A triangle equals 180 degrees so divide that by three. Each angle in this triangle is 60 degrees. Hope this helps :)
Answer:
The value of DC is 66.34.
Step-by-step explanation:
The triangles ABC and DCA are right angled triangles.
The straight line AC is a bisector for angles C and A.
The measure of ∠C is 30°.
Then the measure of angles BCA and ACD will be 15° each.
The measure of angle DAB is 150°.
Then the measure of angles DAC and BAC will be 75° each.
Now consider the right angled triangle ABC.
The measure of side AC is:

Consider the right angled triangle DCA.
The angle DAC measure 75°.
Using the trigonometric identities compute the value of Perpendicular DC as follows:

Thus, the value of DC is 66.34.
Answer:parallel
Step-by-step explanation:
they will be parallel because they are equal
Answer:
X = 14 kg
Y= 7 kg
Step-by-step explanation:
LET X and Y equal the amounts of brand X and Y
X = kg of brand X
Y = kg of brand Y
we know:
1) X + Y = 21 (kg)
2) 1X + 4Y = 2(X + Y) (This is the cost/kg * amounts for total cost)
Coefficients 1,4,2 are the cost/kg)
substitute eq. 1 (X+Y), = 21 into right side of equation 2
1X + 4Y = (21)*2
use elimination to solve 2 equations
X + Y = 21
X + 4Y = 42 (now subtract, note: I wrote the 1X as just X)
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0 -3Y = -21 OR Y = 7 kg so X = (21-7) OR X = 14 kg