Y=x+3 is the answer. I'm always here if you need more help.
Answer:
No, the phone will be $6.24 over from $80
the tax is 7.84
Step-by-step explanation:
For sale:
98 ÷ 1.25 = 78.4
Tax:
78.4 x 1.1 = 86.24 <- Total price with sale and tax.
(86.24 > 80) ❌
86.24 - 78.4 = 7.84 <- Tax amount
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 total purchase price of the watch is: $9,300
$8,000 + (0.06 × $8,000) + (0.10 × 8,000) + $20
$8,000 + $480 + $800 + $20
Answer:
406
Step-by-step explanation:
Given: product of two positive integers us 2005.
Let the two positive integers be a and b
Now prime factorization of 2005 = 401×5
where both 401 and 5 are prime number and non of them is 1.
So, and b will be 401 and 5 respectively.
Therefore, sum of the two integers a+b = 401+5 = 406
