Answer:
50 dollars
Step-by-step explanation:
C. 12 /3 go Brainly! Have Fun
<u>EXPLANATION</u><u>:</u>
In ∆ ABC , ∠ABC = 40°
∠ACD is an exterior angle formed by extending BC to D
We know that
The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.
∠ACD = ∠CAB + ∠ABC
⇛50° = x° + 40°
⇛x° = 50°-40°
<h3>⇛x° = 10°</h3>
and
In ∆ ACD , AC = CD
⇛ ∠CDA = ∠CAD
Since the angles opposite to equal sides are equal.
Let ∠CDA = ∠CAD = A°
We know that
The sum of all angles in a triangle is 180°
In ∆ ACD,
∠CDA +∠CAD + ∠ACD = 180°
A°+A°+50° = 180°
⇛2A°+50° = 180°
⇛2A° = 180°-50°
⇛2A° = 130°
⇛A° = 130°/2
⇛A° = 65°
now,
∠CDA = ∠CAD = 65°
∠BAC + ∠CAD+y = 180°
Since angles in the same line
10°+65°+y = 180°
⇛75°+y =180°
⇛y = 180°-75°
<h3>⇛y = 105°</h3>
<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.
Answer:
The standard form of y = 3 x + 1 is -3x + y = 1 .
The standard form of y = 4x - 7 is -4x + y = -7.
Step-by-step explanation:
Here the given equation are:
y = 3 x + 1
and y = 4x - 7
The above equations are of the form: y = m x + C
Now, the STANDARD FORM of the equation is Ax + By = C
<u>Consider equation 1: </u>
y = 3 x + 1
or, y - 3x = 1
or. -3x + y = 1
⇒ The equation -3x + y = 1 is in STANDARD FORM.
<u>Consider equation 2: </u>
y = 4 x - 7
or, y - 4x = -7
or. -4x + y = -7
⇒ The equation -4x + y = -7 is in STANDARD FORM.
12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
$495 ÷ $41.25 = 12 periods
Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.