Step-by-step explanation:
105/3 = 35 push ups per minute
35 x 5 = 175 push ups in 5 minutes
The required debt-equity ratio is 14:15
<u>Solution:</u>
<em>Given:</em>
Liabilities of the company = $14000
Equity of the company = $15000
<em>To calculate: </em>The debt-equity ratio
Here, the liabilities are included in the debt of the company. The debt-to-equity (D/E) ratio is calculated by dividing a company's total liabilities by its shareholder equity. Therefore, the debt equity ratio is as follows,


The debt-equity ratio reflects the ability of shareholder equity to cover all outstanding debts in the event of a business downturn.
Given:ABCD is a rhombus.
To prove:DE congruent to BE.
In rombus, we know opposite angle are equal.
so, angle DCB = angle BAD
SINCE, ANGLE DCB= BAD
SO, In triangle DCA
angle DCA=angle DAC
similarly, In triangle ABC
angle BAC=angle BCA
since angle BCD=angle BAD
Therefore, angle DAC =angle CAB
so, opposite sides of equal angle are always equal.
so,sides DC=BC
Now, In triangle DEC and in triangle BEC
1. .DC=BC (from above)............(S)
2ANGLE CED=ANGLE CEB (DC=BC)....(A)
3.CE=CE (common sides)(S)
Therefore,DE is congruent to BE (from S.A.S axiom)
Answer:
A. y =
x + 7
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope and b is the y-intercept
<em>It gives us the slope, so we can plug that in:</em> y =
x + b
<em>Next, it gives us a point, so we can plug in the x and y into our equation and solve for b when (x, y)</em>
y =
x + b
7 =
(0) + b
7 = b
<em>Last, complete our equation:</em>
y =
x + b
y =
x + 7
If you multiply 23 by 12 you will get 276.