Answer:
-1
Step-by-step explanation:
Answer: can you put the picture so I can tell you more? The x axis is the horizontal line. It has negatives on the left and positives on the right. Hope this helps!
Step-by-step explanation:
<h3>Answer: As a fraction, HC is 21/4 units long</h3><h3>In decimal form, HC is 5.25 units long.</h3>
==============================================
Work Shown:
Let x = HC and y = BH
AH = 12-x since AH = 12-HC and x = HC
---------------
See the attached drawing below. The altitude BH forms three similar triangles which makes the proportion below possible
HC/BH = BH/AH
x/y = y/(12-x) ... substitution
x(12-x) = y^2 ... cross multiply
y^2 = -x^2+12x
note how I isolated y^2 instead of y. We will use this equation later.
---------------
Focus on triangle AHB. Use the pythagorean theorem
(BH)^2 + (AH)^2 = (AB)^2
(y)^2 + (12-x)^2 = (9)^2
y^2 + 144-24x+x^2 = 81
-x^2+12x + 144-24x+x^2 = 81 ... replace y^2 with -x^2+12x
-x^2+12x + 144-24x+x^2-81 = 0
-12x + 63 = 0
-12x = -63
x = -63/(-12)
x = 5.25 <<-- answer in decimal form
x = 5 + 0.25
x = 5 + 1/4
x = 20/4 + 1/4
x = 21/4 <<-- answer as a fraction
Answer:
∠X in the pre-image will be equal to ∠L in the main image
Step-by-step explanation:
△LMN is the result of a reflection of △XYZ which means △LMN is the mirror image △XYZ
hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN
Hence, ∠X in the pre-image will be equal to ∠L in the main image
HI There!
Answer:
6/18 or 1/3
Step-by-step explanation:
Total Sodas: 6 + 6 + 6 = 18
We Know: 6 Pepsi's out of all the sodas total.
Ratio: 6 Pepsi's/18 total sodas
Simplified: 1/3
Hope This Helps :)