A geometry student says; "I got lost in that lesson - I wrote down that AD/AB = AC/AB but I have no ideawhere it comes from."
Which of the following should have been the proportion that the student wrote?
answer choices:
a) AD/AB=AB/AC
b) AD/AC=AB/AB
c) AB/AD=AB/AC
d) AB/AC=AB/AD
Answers
Answer:
Therefore the choice is
a) AD/AB=AB/AC
Step-by-step explanation:
In Δ ADB and Δ ABC
∠A ≅ ∠A …………..{Reflexive Property}
∠ ADB ≅ ∠ ABC ..............{ measure of each angle is 90° given }
Δ ADB ~ Δ ABC ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
Therefore the choice is
a) AD/AB=AB/AC
Answer:
Therefore the choice is
a) AD/AB=AB/AC
Step-by-step explanation:
In Δ ADB and Δ ABC
∠A ≅ ∠A …………..{Reflexive Property}
∠ ADB ≅ ∠ ABC ..............{ measure of each angle is 90° given }
Δ ADB ~ Δ ABC ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
Therefore the choice is
a) AD/AB=AB/AC
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Solve the system of equations.
Answers
2x + 3y = 1
y = 3x + 15
There's not much you can do with the first equation, because it has
two variables in it ... 'x' and 'y' . No matter how much you move them
around, you'll never be able to get either one equal to just a number.
Is there any way you could get rid of one of the variables in the first
equation, and have just 1 letter in it to solve for ?
Absolutely ! The second equation tells you something that 'y' is equal to,
(3x + 15). "EQUAL" is very powerful. It means that wherever you see 'y',
you can put (3x + 15) in its place, and you won't change anything or
upset anything. One thing you can do is take that (3x + 15) from the
2nd equation, and put it right into the first equation in place of 'y'.
You'll see how that helps as soon as you do it.
First equation: 2x + 3y = 1
Substitute for 'y' : 2x + 3(3x + 15) = 1
Remove parentheses: 2x + 3(3x) + 3(15) = 1
2x + 9x + 45 = 1
Combine the terms with 'x' in them: 11x + 45 = 1
Look what you have now ! An equation with only one variable in it !
Subtract 45 from each side: 11x = -44
Divide each side by 11 : x = -4
You're more than halfway there. Now you know what 'x' is,
and you can use it with either equation to find what 'y' is.
-- If you use it with the first equation: 2x + 3y = 1
Put in the value of 'x': 2(-4) + 3y = 1
Remove the parentheses: -8 + 3y = 1
Add 8 to each side: 3y = 9
Divide each side by 3 : y = 3
-- If you use it with the 2nd equation: y = 3x + 15
Put in the value of 'x' : y = 3(-4) + 15
Remove the parentheses: y = -12 + 15
Add numbers on the right side: y = 3 (same as the other way)
So there's your solution for the system of two equations:
x = -4
y = 3
0
3
6
7
Answers
We can see that the line crosss the y-axis at (0,3).
So the initial value of the function that is represented by the graph is 3.
Your final answer is 3.
Answers
Answer:
68
Step-by-step explanation:
48+2+20
Answers
859 students x 8 pencils per student = 6,872 total pencils that the principal has to buy so that each student can have 8 pencils
Answers
20 chaperones are needed
The answer is 20.
120 / 12 = 10
This means that there are 10 sets of 12 students. Now multiply 10 by 2:
10 * 2 = 20
Good luck!
Answers
Answer:
73
Step-by-step explanation:
see attached for reference
by Pythagorean Theorem,
x² = 55² + 48²
x² = 3025 + 2304
x² = 5329
x = √5329
x = 73