Answer:
x = 35
Step-by-step explanation:
x and 3x+40 are same side interior angles and same side interior angles are supplementary when the lines are parallel
x + 3x+40 = 180
Combine like terms
4x+40 =180
4x = 180-40
4x = 140
Divide by 4
4x/4 = 140/4
x = 35
Answer:
-2/3, -0.6, 0.2, 1/2, 5/8
Step-by-step explanation:
What you do is you have to make them into decimals.
-0.6 and 0.2 are already in decimals.
-2/3 as a decimal is -0.667
1/2 as a decimal is 0.5
5/8 as a decimal is 0.625
-2/3, -0.6, 0.2, 1/2, 5/8 is your answer.
Answer:
x=9
y=12
Step-by-step explanation:
. Substitute the given value of x into the equation so... -5(2y-15)+4y=3
. y=12
. Substitute the given value of y into the equation x=2y-15 so... x=2 x 12-5
. x=9
.The possible solution of the system is the ordered pair (x,y) so... (x,y)=(9,12)
Using relations in a right triangle, it is found that:
sin(x) = cos(y) = 0.6.
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
Applying the Pythagorean Theorem, the hypotenuse is given by:
h² = 3² + 4²
h² = 25
h = 25.
Hence, applying the definitions:
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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