The value of a and b are; 4.8 and 10.8 respectively.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We have been given a figure which shows that;
Let x, y z, and u lines are parallel.
Therefore, by using proportion we can say that
a/ 12 = 4/ 10
thus, a = 4/ 10 (12)
a =2(12)/ 5
a = 24/5
a = 4.8
Now, 12/b = 10/8
b = 12 (8/10)
b = 6(8)/ 5
b 54/5
b = 10.8
Hence, tha value of a and b are; 4.8 and 10.8 respectively.
More can be learned about proportions at;
brainly.com/question/24372153
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The answer is 2,-5 you put the points are in the same spot just rotated
Answer:
x = 120°
Step-by-step explanation:
We are given;
sec²x + 4secx = -4
Rearranging gives;
sec²x + 4secx + 4 = 0
Factorizing the left hand side gives;
(sec x + 2)(sec x + 2) = 0
This means that;
(sec x + 2) = 0
From trigonometry, we know that sec x = 1/cos x
Thus;
(1/cos x) + 2 = 0
1/cos x = -2
cos x = -1/2
cos x = -0.5
x = cos^(-1) -0.5
x = 120°
Answer:
1 3/5
Step-by-step explanation:
(4 cans)/(2 1/2 qt) = (4 cans)/(5/2 qt)
= (4)·(2/5) cans/qt . . . . . . . "invert and multiply"
= 8/5 cans/qt
= (5 +3)/5 cans/qt
= (5/5 + 3/5) cans/qt
= 1 3/5 cans/qt
_____
You can also think of this as multiplying the following statement by 2/5:
... 4 cans for 5/2 quarts
... (4)(2/5) cans for (5/2)(2/5) quarts . . . . multiply by 2/5
... 8/5 cans for 1 quart . . . . simplify
... 1 3/5 cans for 1 quart . . . . write improper fraction as mixed number