<span>AAS since you have two angles and one side.
LA (never heard of it but if it's actually a theorem then yes. It makes sense in right triangles)
LL (same as LA)
HL since the hypotenuse and the leg are congruent.
SAS CAN be used BUT only if you're going to prove that the sides CE and OQ are congruent or the angles D and P are congruent. You cannot directly apply this.
ASA CAN be used BUT, as with SAS, can only be used if you prove that either the sides CE and OQ are congruent or the angles D and P are congruent. You cannot directly apply this</span>
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equation using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
3y = -5x - 3
y = -x + 1
<u>Step 2: Rewrite Systems</u>
Equation y = -x + 1
- [Multiplication Property of Equality] Multiply everything by -3: -3y = 3x - 3
<u>Step 3: Redefine Systems</u>
3y = -5x - 3
-3y = 3x - 3
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: 0 = -2x - 6
- [Addition Property of Equality] Add 6 on both sides: 6 = -2x
- [Division Property of Equality] Divide -2 on both sides: -3 = x
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
Answer:
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Step-by-step explanation:
Given
Required
Determine the %decrease
First, we need to determine the amount paid
The percentage decrease is the calculated as follows:
In this case;
So; we have:
<em></em><em> (Approximated)</em>
D. Lysosomes
Only Plant cells have chloroplasts
Both plant and animal cells have nucleus and a membrane
Only an animal cell has lysosomes.
Answer:
This problem is a great systems of equations problem--you have two different variables: song size and number of songs.
Let's call the number of standard version downloads (S) and the high quality downloads (H).
You can make two statements:
For number of songs downloaded: S + H = 910
For download size: 2.8(S) + 4.4(H) = 3044.
S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:
2.8(S) + 4.4(910 - S) = 3044
2.8S + 4004 - 4.4S = 3044
-1.6S = -960
s = 600
Your question only asks for the standard version downloads, but to help you out in future Systems situations-
You can also solve for H once you have S by plugging it into either of your equations like this:
600 + H = 910
-600
H=310
Step-by-step explanation:
hope it help
*comment if my answer is wrong*
