Answer:
Step-by-step explanation:
x + 115 + 95 + 70 = 360 ( being sum of angles of quadrilateral )
x = 360 - 115 - 95 - 70
x = 80
Answer:
See below
Step-by-step explanation:
Graphing all three equations can be done on one DESMOS plot, but it gets very busy and cluttered. The attached image demonstrates an approach that simplifies the graph.
Enter the three equations and three inequalities separately into six DESMOS input boxes. Then I clicked off the color circles of the ones I didn't want to see, leaving only two visible at one time. Each pair represents one line of the function and limit for that function. Then find the intersection point for the values indicated in the second half of the equation.
One can also calculate the answers:
a) (-21,442)
b) (-4,-1)
c) (18,15.5)
d) (20,17)
Answer:
.54
Step-by-step explanation:
The probability of a non-glove item is: (# of non-glove items)/(total # of items)
There are 27 non-glove items and 23 gloves. That makes the probability of choosing a non-glove item:
27/(23+27)=
27/50 =
.54
1.
The edge lengths of a triangle are inversely proportional to 2,3 and 4.
The actual proportions of the lengths are then
12(1/2:1/3:1/4)=6:4:3
The longest side
= 39* (6/(6+4+3)
= 39*6/13
=18
2. 63 breads : 35 kg flour
is the same as
54 breads : x kg flour
Cross multiply and get
x=54*35/63=30
30 kg of flour are needed to make 54 breads.
THEOREM:
- Angle sum property —: The sum of interior angles of a triangle is 180°.
ANSWER:
<u>By angle sum property</u>,
∠U + ∠V + ∠W = 180°
- 3x - 9° + 30° + 24° = 180°
- 3x + 45° = 180°
- 3x = 180° – 45°
- 3x = 135°
- x = 135/3
- x = 45°
So, <u>Correct choice</u> - [C] 45°.
