Answer:
Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by _____1._____, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = _____2._____ and x = a ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.
Step-by-step explanation:
Answer:
Infinitely many solutions.
Step-by-step explanation:
4(x-8)+9=4x-23
4x-32+9=4x-23
4x-23=4x-23
infinitely many solutions.
Answer:
138 is the answer
Step-by-step explanation:
In order to find the perimeter, we use this formula
P=2(l+w)
And to find the width, we use this formula
w = P/2 - L = 18/2 - 3 = 6
So the width is 6
3 × 6 = 18
So thats why the perimeter of the top triangle is 18
We do 21 ÷ 3 = 7, 7 = scale factor
To find the perimeter of the bottom triangle, we do
the width of the top rectangle times 7
so 6 × 7 = 48
So the perimeter for the bottom triangle is
P=2(l+w)=2·(48+21)=138
<h3>
Answer: 4/9</h3>
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Explanation:
The outcomes of the die are {1,2,3,4,5,6} which is the sample space.
The values less than 5 are {1,2,3,4}
There are 4 values we want out of 6 total, so 4/6 = 2/3 is the probability of rolling something less than 5 on a single die.
The probability of getting two such values in a row is (2/3)*(2/3) = 4/9
Each die roll is independent of any other.
