Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
The option that explains Sarita's mistake is Sarita’s solution is correct. She made an error in her verification.
<h3>What was Sarita's mistake?</h3>
The given equation is: 5(x - 3) + 7(x + 4) = 73
In order to determine the value of x, take the following steps:
1. Apply the Distributive property:
5x - 15 + 7x + 28 = 73
2. Add similar terms together:
12x + 13 = 73
3. Combine similar terms:
12x = 73 - 13
4. Add similar terms
12x = 60
5. Divide both sides of the equation by 12
x = 60 / 12
x = 5
In order to verify the answer, substitute for x in the given equation :
5(5 - 3) + 7(5 + 4) = 73
5(2) + 7(9) = 73
10 + 63 = 73
73 = 73
Please find attached the complete question. To learn more about equations, please check: brainly.com/question/14446120
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Answer:
D = 4, Z = 24
Step-by-step explanation:
6D+3Z = 96
5D+4Z = 116
multiply top by 5 and bottom by -6
top equation = 30D+15Z = 480
bottom equation = -30D-24Z = -696
Cancel 30D and -30 D
top equation = 15Z = 480
Bottom equation = -24Z = -696
15Z - 24 Z = 480 - 696
-9Z = 216
Z = 216/9
Z = 24
Now that we have the value of Z, we can substitute it in any equation to find D
6D + 3(24) = 96
6D + 72 = 96
6D = 96 - 72
6D = 24
D = 24/6
D = 4
Answer:
Equation of the straight line passing through the point ( 1,2 ) and having the slope
x - √3y -1+2√3 =0
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the point (1,2) and an angle = ∝ = 30°
The slope of the line
m = tan 30°
<u><em>Step(ii)</em></u>:-
Equation of the straight line passing through the point ( 1,2 ) and having the slope
y - y₁ = m(x-x₁)
y - 2 = 
( x -1)
√3(y-2) = (x-1)
⇒ √3y - 2√3 = x -1
x - √3y -1+2√3 =0
Answer:
Sampling Error
Step-by-step explanation:
When the researcher randomly selected 200 people, he is creating an sample or subset from the population, that would be all the people in the earth. The error obtained was product of the fact that the analysis he made was estimated from the sample and not the whole population. There is no other mentioned factor that could cause an error, so the answer would be a sampling Error.
