Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Step-by-step explanation:
Answer:
Q1) x = 17.3
y = 8.7
Q2) d = 19
Step-by-step explanation:
Question 1
Angle = 60°
Hypotenuse = x
Adjacent = y
Opposite = 15
<u>Step 1: Find x</u>
Sin (angle) = opposite/hypotenuse
Sin (60°) = 15/x
x = 10√3 = 17.3
<u>Step 2: Find y</u>
Tan (angle) = opposite/adjacent
Tan (60°) = 15/y
y = 5√3 = 8.7
Question 2
<u>Step 1: Find the diagonal of the base</u>
c² = a²+b²
c² = 6² + 10²
c = 2√34 = 11.7
<u>Step 2: Find diagonal d</u>
c² = a² + b²
d² = 11.7² + 15²
d = 19
!!
Answer:
6, 8, 4
Step-by-step explanation:
the answers are as follows
a. 6
b. 8
c. 4
Answer:
42 cm.
Step-by-step explanation:
Please find the attachment.
Let x be the length of diagonal of the square.
We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.
We can see from our diagram that triangle AC is the diagonal of our square.
Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.
Upon substituting our given values in above formula we will get,



Let us take square root of both sides of our equation.


Therefore, the length of diagonal of our given square is 42 cm.
The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:

Then we can conclude that:

Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.
Let's use an example:
On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:

The sum of the remote interior angles is equal to the external angle.