9514 1404 393
Answer:
36
Step-by-step explanation:
The parallel lines divide the segments proportionally.
GH/HI = GK/KJ
GH = HI(GK/KJ) = 48(30/40)
GH = 36
Answer: the smaller number is 11, and the larger number is 28
Step-by-step explanation:
Let x = the smaller number; then the greater number is 3x-5. When you add these they must equal 39, so:
x + (3x-5) = 39
4x - 5 = 39; now add 5 to both sides:
4x = 44; now divide both sides by 4, and you get x =11, which is the smaller number. The larger number would be 3(11)-5 = 33 - 5 = 28
$3.59 = £2.78. Hope this helps!
The union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.
<h3>What is a set?</h3>
A set is simply a mathematical model for a collection of different things which could be elements or members.
Union of sets represented with '∪' is the combination of two sets without repetition
Intersection of sets represented with '∩' is the sum of elements common between the.
From the expression given, we have;
[-9,-4] U (-4, 19)
= { -4, -9 , 19}
[-9,-4] U (-4, 19)
= { -4}
Thus, the union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.
Learn more about sets here:
brainly.com/question/2166579
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Length = 34 cm
Width= 9 cm
Step-by-step explanation:
Let the width of the rectangle to be.........w
Length is 7 more than three times the width..........3w+7
Perimeter = 86 cm
Perimeter of a rectangle = 2(l+w)
Perimeter of the rectangle = 2 (w + 3w +7)
= 2w +6w + 14
86= 8w +14
86-14 =8w
72=8w
72/8 =8/8w
9=w
Width= 9 cm
Length = 3*9 + 7= 27+7 = 34 cm
Learn More
Perimeter of a rectangle :brainly.com/question/13220601
Keywords: rectangle,perimeter,length, equation, dimensions
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