Answer:
x = 7/
or 4.949747468
Step-by-step explanation:
45-45-90 triangles have a specific pattern.
The smaller sides are x, & the hypotenuse is 
With this knowledge, we know we have to divide the hypotenuse by to get the smaller sides, so we divide 7 by the to find x.
Answer:
75°
Step-by-step explanation:
1. Consider right triangle ABC. In this triangle
m∠C = 90º and CM - angle bisector.
If CM is angle C bisector, then
m∠ACM = m∠MCB = 45º
2. Consider triangle CMB. The sum of the measures of all interior angles of the triangle is always 180°, then
m∠MCB + m∠CBM + m∠BMC = 180°,
m∠BMC = 180° - 45° - 30°
m∠BMC = 105°
3. Angles AMC and BMC are supplementary angles, so
m∠AMC + m∠BMC = 180°
m∠AMC = 180° - 105°
m∠AMC = 75°
31/36 is the correct answer
Applying the rule of modulus for given values, the expression will result to 20.
<h3>What is Modulus or Absolute Values</h3>
The modulus of a value for example |a|=a if a is greater than or equal to zero
and also
|a|=-a if a is less than zero
In the expression given; the modulus of -6 written as
|-6|=-(-6) this is because the value is less than zero
The modulus of 2 written as; |2|=2 this is because the value is greater than zero. and;
|The modulus of -14 written as; |-14|= -(-14) since the value is less than zero.
Hence, we can rewrite the expression as;
we deal with multiplication first following the rules of BODMAS
2×-(-6)-3×2+[-(-14)]
2×6-6+14
and thus adding values
12+14-6
and finally we subtract;
26-6
which will results to the solution of 20.
Answer:
equation of line
x-2y=8
Step-by-step explanation:
equation of line in slope intercept form
(y-y1)={(y2-y1)/(x2-x1)}(x-x1)
or,(y+3)={(-5+3)/(-2-2)}(x-2)
or,(y+3)=(1/2)(x-2)
or,2y+6=x-2
or,6+2 =x-2y
or,x-2y=8
