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➷ Since 5 out of those 30 crayons are blue, the probability would be:
This can be simplified to:
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Answer:
Prove: ΔPYJ ≅ ΔPXK
Step-by-step explanation:
Overlapping triangles are said to be triangles that share at least part of a side or an angle.
To prove ΔPYJ is congruent to ΔPXK
First we would draw the diagram obtained from the given information.
Find attached the diagram.
Given:
JP = KP
PX = PY
From the diagram, ΔPYJ and ΔPXK share the line KJ (part of the side of each of the triangle)
KJ ≅ KJ (A reflexive property - the segment is congruent to itself)
In ∆PYJ
JP = KP + KJ
In ∆PXK
KP = JP + KJ
Since JP = KP
KP + KJ = JP + KJ
PJ ≅ PK
The overlapping section makes a smaller triangle KXJ
∠K = ∠J (opposite angles of congruent sides are equal)
In ∆PYJ: PY + YJ + PJ (sum of angles in a triangle)
In ∆PXK: PX + XK + PK (sum of angles in a triangle)
If ΔPYJ ≅ ΔPXK
PY + YJ + PJ = PX + XK + PK
XK ≅ YJ
Therefore, ΔPYJ ≅ ΔPXK
2 1/2 pounds = $18
for 1 pound = How many dollars
1 pound = $18 ÷ 2 1 /2
= 18 ÷ 2.5
= $ 7.2
1 pound = 453.6 grams
so 453.6 grams = $7.2
price of 1 gram = 7.2 / 453.6 = $ 0.0158
Answer:
volume of the storage body is 576. multiply by 9. she can fit 64 boxes
Step-by-step explanation:
so draw a line at the short end of the body so it would be 6ft x 4 ft x 2ft = 48 ft. then the rest of the body becomes 11 ft (15 ft minus 4 ft) x 8ft x 6ft =528. so 48 + 528 = 576 then you divide 576 by 9 and get 64.
Answer:
Step-by-step explanation:
we know that the triangle to the center is an isosceles, so the two angle on the circle of that triangle are the same. both 41, so 41*2 =82
all the way around that isosceles triangle is 180 so
180-82 = 98
the angle at O is 98°
the arc BC spans 98°
angle 'a' is 1/2(98°)
a = 49°
