Answer:
ABC= 60 XYZ=540
Step-by-step explanation:
The area of a triangle is 1/2*base*height so for ABC we need to find the height first. To do this we use pythag theorem, and create the equation 13^2=5^2+height^2 rearranging this we can figure out that sqrt(height)=13^2-5^2. For the base we do 2*5 since there are two congruent line segments both equal to 5. Using this we can do 1/2*12*10=area of ABC
For XYZ we can do 1/2*30*36=area of XYZ, we can do 2*15 since there are 2 congruent 15 length line segments at the base.
Step-by-step explanation:
Here with reference angle 45°
Hypotenuse ( h) = y
Perpendicular (p) = x
base (b) = 5√2
We know
tan 45° = p/b
1 = x / 5√2
Therefore x = 5√2
Now
h = √(5√2)^2 + 5√2)^2
= √ 50 +50
= √100
= 10
Hope it helped
The range of values of x as shown in the diagram is -9 < x < 15
<h3>Inequality expressions</h3>
Inequality are expressions not separated by an equal sign. The required inequality expression is given as:
|9x - 27| < 108
For the positive inequality
9x - 27 < 108
9x < 108 +27
9x < 135
x < 15
For the negative inequality
-9x + 27 < 108
-9x < 108 - 27
-9x < 91
x > -9
-9 < x
Hence the range of values of x as shown in the diagram is -9 < x < 15
Learn more on inequality here: brainly.com/question/24372553
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Answer:
Kyle should choose Option B. The mathematical expectation of this option is 7 and is the greater mathematical expectation of the two options.
Step-by-step explanation:
i took the k-12 quiz
goodluck
This in what I got:
(-7i)(10i)
-70i
