Answer:
64°
Step-by-step explanation:
First, we have to find the angle situated in R, the addition of all angles in a triangle is 180° so that means:
x + 68 + 48 = 180
x = 180-116 = 64°
Now, remember that this angle (64°) is the same as this one = ?, thanks to one property.
So basically, that angle has the same value as that one.
? = 64°
Hope it was helpful ;)
Answer:
3
Step-by-step explanation:
The number is 3.
Step-by-step explanation:
Finding the Number
To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.
Equation:
Let "x" be the number.
4 is divided by a number - 4/x
3 divided by the number decreased by 2 - 3/x-2
"4 is divided by a number is equal to 3 divided by the number decreased by 2"
4/x = 3/x-2
Solution:
Cross multiply.
4/x = 3/x-2
x(3) = 4(x-2)
3x = 4x - 8
(Combine similar terms.)
3x - 4x = - 8
- x = - 8
- x/- 1 = - 8/- 1
x = 8
Final Answer:
8
Checking:
4/x = 3/x-2
4/8 = 3/8-2
1/2 = 3/6
1/2 = 1/2 ✔
Using the slope concept, it is found that the base of the left field wall is 361 feet from a point on level ground directly below the top row.
<h3>What is a slope?</h3>
- The slope is given by the <u>vertical change divided by the horizontal change.</u>
- It's also the tangent of the angle of depression.
In this problem:
- The vertical change is of 90 ft.
- The horizontal change is of x.
- The angle of depression is of 14º.
Hence:





Hence, the base of the left field wall is 361 feet from a point on level ground directly below the top row.
You can learn more about the slope concept at brainly.com/question/18090623
Answer:
B. Unlikely
Step-by-step explanation:
Generally speaking, a probability of 0.11 to 0.40 is unlikely. 1/5 is 0.2, which falls in this range.
0.75*3.5a = 2.625a
0.75*6b = 4.5b
2.625a - 4.5b is our final answer