Answer:
a = 9.4 cm
b = 12.0 cm
Step-by-step explanation:
Check the image uploaded for diagram;
For the first diagram, side length a is calculated as follows;
a² = 8² + 5²
a² = 64 + 25
a² = 89
a = √89
a = 9.4 cm ( approximated to 1 decimal place)
For the second diagram, side length b is calculated as follows;
b² = 17² - 12²
b² = 145
b = √145
b = 12.0 cm (approximated to 1 decimal place)
First convert the feet to inches:
3 feet= 36 in.; 4 feet=48 in.
Make an equation for each one:
Type A: h=36+15x
Type B: h=48+10x
Since the questions wants the heights to be equal, h=h so you can substitute so you have:
36+15x=48+10x
5x=12
x=2 2/5 years or 2.4 years
-4 _> 4(6y-12)-2y
first distribute/ simplify the equation
-4 _> 24y-48-2y
then combine like terms
-4 _> 22y-48
solve for y
-4 _> 22y-48
44 _> 22y
2 _> y
so the answer is y <_ 2 ( y is less than or equal to 2)
Answer: The answer is ∠TUV.
Step-by-step explanation: Given in the question a quadrilateral SVUT with ∠SVU = 112°. We need to determine the angle whose measure will decide whether or not the quadrilateral SVUT is a trapezoid.
We know that for a quadrilateral to be a trapezoid, we need only one condition that one pair of opposite sides must be parallel.
So, in quadrilateral SVUT, since the measure of ∠SVU is given, so we can decide it is a trapezoid or not if we know the measure of ∠TUV. As ST and UV cannot be parallel, so its meaningless to determine ∠TSV.
For SV and TU to be parallel to each other, we need
∠SVU + ∠TUV = 180° (sum of interior alternate angles).
Therefore,
∠TUV = 180° - 112° = 68°.
Thus, we need to determine ∠TUV and its measure shoul be 68°.
Answer:
x > 3
Step-by-step explanation:
-2(x-5) < 4
-2x+10 < 4
-2x < -6
x > 3
