we know that
In the right triangle ABC
∠∠
------> by complementary angles
so
Step
Find the measure of angle B
we know that
in this problem
so
Step
Find the measure of angle A
therefore
the answer is the option
35.5° and 54.5°
A used motorcycle is priced at $3,438. If you borrow the money for the motorcycle, your payments will be $165 per month for 24 m
1 answer:
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Given:
In the circle, and
.
To find:
The following measures:
(a)
(b)
Solution:
According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.
In a cyclic quadrilateral, the opposite angles are supplementary angles.
UVWX is a cyclic quadrilateral. So,
[Opposite angles of a cyclic quadrilateral]
Now,
[Opposite angles of a cyclic quadrilateral]
Therefore, and
.
James'age : 12, Kate's age : 7
<h3>Further Explanation </h3>One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
x, y = variable
In the statement of the task:
- James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2 ⇒equation 1
- Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K ⇒equation 2
So the solution is:
Equation 2 is entered into equation 1 so that it becomes:
19-K = 2K-2
21 = 3K
K = 7
because J + K = 19, then the value of J = 19-7 = 12
<h3>Learn more</h3>the slope-intercept form of the linear equation
a graph of a linear equation
system of linear equations
Keywords : Age, variable, linear equation
