Answer:
(a) AH < HC is No
(b) AH < AC is Yes
(c) △AHC ≅ △AHB is Yes
Step-by-step explanation:
Given
See attachment for triangle
Solving (a): AH < HC
Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).
To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC
Hence: AH < HC is No
Solving (b): AH < AC
Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.
This means that:
AH < AC is Yes
Solving (c): △AHC ≅ △AHB
This has been addresed in (a);
Hence:
△AHC ≅ △AHB is Yes
Answer:
<u>y = -2/3x + 5/6</u> (slope intercept) (y = ax + b)
4x + 6y = 5 (standard form) (Ax + By = C)
y - 3/2 = -2/3(x + 1) (point slope) (y-y1 = m(x-x1)) (m = y2 - y1 / x2 - x1)
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Answer:
-50y+(-80)
Step-by-step explanation:
Answer:
total cost = $22.4 + $1.12 = $23.52
Step-by-step explanation:
Mr McNeil bought 2 magazines for $7.45 and 1 book for $14.95 . The sales tax is 6% . The total cost of Mr McNeil can be calculated as follows.
He bought 2 magazines for $7.45 .This means the sum of the prize of the 2 magazine he bought is $7.45 and the prize for the single book he bought is $14.95. The total cost of the items he bought excluding the sales tax is the sum of the whole items he bought.
total cost excluding sales tax = $7.45 + 14.95 = $22.4
The sales tax is 5% which can be calculated as follows
5/100 × 22.4 = 112/100 = $1.12
The total cost of Mr McNeil purchase including his sales tax is
total cost = $22.4 + $1.12 = $23.52
