Answer:
The measure of angle f is 61°
Step-by-step explanation:
A straight line is 180° meaning;
180 - 98 = 82
82 is the angle measure of the unlabeled angle.
All triangles angles add up to 180° meaning;
37 + 82 = 119
180 - 119 = 61°
Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
Calculate standard Z values for the given data:-
z = (80 - 110) / 20 = - 3/2 = -1.5
and z = (115 - 110) / 20 = 0.25
so we need Prob ( -1.5 < z < 0.25)
Using standard tables this comes to 0.5319 Answer
9514 1404 393
Answer:
Step-by-step explanation:
Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...
(14%)x +(9%)(5000 -x) = 460
0.05x +450 = 460 . . . . . . . . . . simplify
0.05x = 10 . . . . . . . . . . . . . . subtract 450
x = 200 . . . . . . . . . . . . . . divide by 0.05
5000-x = 5000-200 = 4800
$200 was invested at 14%; $4800 was invested at 9%.
It is a parallelogram, so opposite angles are congruent.
4x = 100°
x = 25°
Sum of angles in a parallelogram is 360°.
360°-100°-100° = 160°
y = 160°/2 = 80°
