Subtract 180 - 34 = 146
You know ∠BPD adds up to 146°
Since
bisects ∠BPD, you know that ∠BPC and ∠CPD are equal to each other.
Divide 146 by 2 = 73
m∠CPD = 73°
Answer:
Isosceles, obtuse triangle
Step-by-step explanation:
The triangle is isosceles since there are equal acute-angles which therefore prove two equal sides.
The triangle is obtuse because it consists of one obtuse angle which is 98 and is greater than 90 degrees.
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9514 1404 393
Answer:
$1400
Step-by-step explanation:
Let x represent the amount borrowed from Bank 1. For each loan, the interest is given by I=Prt, where P is the principal borrowed at rate r for t years.
Then the total interest over 3 years is ...
3(4.3%·x +5.9%(5400 -x)) = 888.60
-1.6%·x +318.60 = 296.20 . . . . . . . . . . . divide by 3, simplify
-1.6%·x = -22.40 . . . . . . . . . . . subtract 318.60
x = 22.40/0.016 = 1400
The student borrowed $1400 from Bank 1.
Answer:

Step-by-step explanation:



Answer:
a) $19.2
b) 0.8x
c) $17.5
Step-by-step explanation:
1. We want to find the discount price given the regular price
The discount is 20%
so the discount price will be;
24 - 20% of 24
24 - 4.8 = $19.2
b) We have this as;
x - (20% of x)
x - 0.2x = 0.8x
c) let the original price be x
x - 20% of x = 14
x - 0.2x = 14
0.8x = 14
x = 14/0.8
x = $17.5