Answer:
m<T = , m<M = and m<Z =
Step-by-step explanation:
From the given ∆TMZ, let the measure angle T be represented by T.
So that,
m<M = 2T + 6°
m<Z = 5T - 50°
Sum of angles in a triangle =
T + (2T + 6°) + (5T - 50°) =
8T - =
8T = +
=
T =
=
Therefore,
i. m<T =
ii. m<M = 2T + 6°
= 2 x + 6°
=
m<M =
iii. m<Z = 5T - 50°
= 5 x - 50°
= - 50°
=
m<Z =
Answer:
<h3>y + 2 = 3/7(x-7)</h3>
Step-by-step explanation:
The point-slope form of the equation will be expressed as;
y - y0 = m(x-x0) where;
m is the slope
(x0, y0) is the point on the line
Given
Slope m = 3/7
Point (x0, y0) = (7, -2)
Substitute into the equation;
y - y0 = m(x-x0)
y - (-2) = 3/7 (x - 7)
<em>y + 2 = 3/7(x-7)</em>
<em>Hence the equation in point-slope form is y + 2 = 3/7(x-7)</em>
Answer:
12 year old is the youngest sibling
Step-by-step explanation:
Given: The ages of three siblings are all consecutive integers.
The sum of sibling´s age is 39.
Now, finding the age of youngest sibling.
Lets assume the age of youngest sibling be "x"
As given, The ages of three siblings are all consecutive integers.
∴ Age of 2nd sibling will be 
Age of 3rd sibling will be 
next, forming an equation for the sum of sibling´s age.
⇒
Opening the parenthesis
⇒ 
⇒
Subtracting both side by 3
⇒
⇒
Dividing both side by 3
⇒
∴ x= 12
Subtituting the value of x to find the age of other sibling
∴Youngest sibling age= 12 years
2nd sibling age= 13 years
3rd sibling age= 14 years
Hence, The youngest sibling is 12 years old.