By using congruence of two triangles AKC and CMA we proved that
AK = MC
Step-by-step explanation:
Lets revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles
and one side in the 2nd Δ
- HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ
In Δ ABC
∵ AB = BC
∴ Δ ABC is an isosceles triangle
∴ ∠BAC ≅ m∠BCA ⇒ base angles of isoscelesΔ
∵ AK ⊥ BC
∴ m∠AKC = 90°
∵ MC ⊥ AB
∴ m∠CMA = 90°
∴ ∠AKC ≅ ∠CMA
In the two Δs AKC and CMA
∵ ∠BAC ≅ m∠BCA
∵ ∠AKC ≅ ∠CMA
∵ AC ≅ CA
∴ Δ AKC and Δ CMA are congruent by AAS postulate
∴ AK ≅ CM
By using congruence of two triangles AKC and CMA we proved that
AK = MC
Learn more:
You can learn more about congruence in brainly.com/question/3202836
#LearnwithBrainly
Answer:
x means 2 and y means -2
Step-by-step explanation:
a) The point-slope form of the equation of a line through point (h, k) with slope m is
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)b) The graph of
y = |x|-4
represents a
translation downward 4 units of the graph of
y = |x|
It
retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
Answer:
Step-by-step explanation:
given that Etsy is an e-commerce website focused on handmade or vintage items and supplies, as well as unique factory-manufactured items. A shop owner on Etsy sells printed t-shirts and she wants to know what level of inventory she should maintain for the month of January. She gathers the January inventories of 8 other shop owners who sell printed t-shirts on Etsy. Their t-shirt inventories are listed below.
59 84 90 54 42 45 77 85
a) Mean = total /8 = 536/8 = 67
For median arrange in ascending order
42 45 54 59 77 84 85 90
Middle entries are 59 and 77
b) Median = average of 59 and 77 = 68
c) If highest changes to 100, data set becomes
42 45 54 59 77 84 85 100
sum increases by 10 i.e. 546
Mean = 546/8 = 68.25
Median will not change remain the same = 68
Mean increases and median stays the same
d) If Var = 369.1429
std dev = square root of variance
= 19.2131
e) Part b answer is the II quartile
f) Mean = 67 and median = 68
Mean < median
So negatively skewed shape
Answer:
Ounces of green paint needed = 13.8
Step-by-step explanation:
Blue paint : green paint = 25 : 115
how many ounces of green paint should she mix with 3 ounces of blue paint?
Let
Ounces of green paint needed = x
Blue paint : green paint = 3 : x
Equate both ratios
25 : 115 = 3 : x
25/115 = 3/x
25 * x = 115 * 3
25x = 345
x = 345/25
x = 13.8 ounces
Ounces of green paint needed = 13.8
