Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
<u>Alternative</u><u> </u><u>working</u><u>:</u>
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
Answer:
hello : 6.23x10^14 > 8.912x10^12^12
Step-by-step explanation:
let : A= 6.23x10^14 and B = 8.912x10^12
A= (6.23x10^2) x10^12 ... because : 10^14 = 10^2x10^12
A = 623 x 10^12
623 > 8.912
so : A > B
Answer:
The domain is all real numbers x because the exponent of two can be any real number
When the X value increases by one unit the y value multiplies by 2
The y intercept is (0,1)
The graph never goes below the x axis because powers of 2 are never negative.
When x varies inversely with y then you'll have
xα1/y
x=k/y where k is the proportionality constant
when x=8. y=10. k=?
8=k/10
make k the subject of the formula
k=10×8
k=80.
When x=6. y=?.k=80
6=80/y
Make y the subject of the formula
y=80/6
y=40/3
The amount you would pay altogether if you borrow $500 for 5 years at
an annual interest rate of 7% is $945.
<h3>How much would you pay altogether?</h3>
The amount you would pay altogether is the sum of the amount borrowed and the interest.
Total value of the debt = interest + amount borrowed
Interest = $700 x 7% x 5 = $245
Total value of the debt = $245 + $700 = $945