Answer:
264 ft²
Step-by-step explanation:
The right triangle shown at the right end of the figure has a missing leg that can be found using the Pythagorean theorem. (If you recognize the triangle as a 5-12-13 triangle, you already know its length is 12 ft.)
a² +b² = c²
5² + b² = 13²
b² = 169 -25 = 144
b = √144 = 12
So, the height of the parallelogram is 12 ft, and its base length is 22 ft. The area is the product of these ...
A = bh = (22 ft)(12 ft) = 264 ft²
X=6.75
3+x=5x-24 Add 24 on both sides
27+x=5x Subtract 1x on both sides
27=4x Divide 4 on both sides
6.75=x You Can double check by plugging in x
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
The answer to the question
Answer:
Its good and yours? ill try to answer ur question i might not know lol
Step-by-step explanation:
