Help me with my homework

Mathematics

1 answer:

777dan777 [17]3 years ago

5 0

Answer:

$m\angle 6 = 107\degree$

$m\angle 7 = 73\degree$

Step-by-step explanation:

$m\angle 6 = m\angle 4$

(Exterior alternate angles)

$\because m\angle 4 = 107\degree... (given)$

$\huge \therefore m\angle 6 = 107\degree$

$\because m\angle 6+ m\angle 7= 180\degree$

(linear pair angles)

$\therefore 107\degree+ m\angle 7= 180\degree$

$\therefore m\angle 7= 180\degree-107\degree$

$\huge \therefore m\angle 7 = 73\degree$

You might be interested in

What is the equation of the circle with center (0, 0) that passes through the point (-8, 3)?

77julia77 [94]

hello :
an equation of the circle Center at the A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a =0 and b = 0 (Center at the origin)
r = OP....p(-8,3)
r² = (OP)²
r² = (-8-0)² +(3-0)² = 64+9=73
an equation of the circle that satisfies the stated conditions.
Center at the origin, passing through P(-8, 3) is : x² +y² = 73

7 0

3 years ago

How to find restrictions for x?? 3. F(x)=2 sqrt x-4

stealth61 [152]

Answer:

none
none
x ≥ 4

Step-by-step explanation:

The restrictions placed on the independent variable in a function are those necessary to ensure that the function is defined for all allowed values of that variable.

In the graphs of problems 1) and 2), we see that the functions are defined for all values of x, so there are no restrictions.

3. For the function ...

$f(x)=2\sqrt{x-4}$