7x+1 + 4x-3 = 42
11x-2=42
11x=44
Divide by 11 on both sides which equals:
x=4
To find the length of DE just plug 4 in for x into the equation:
(7x+1) —> 7(4)+1= 29
29 is the length of DE
Then plug in 4 to EF’s equation:
(4x-3) —> 4(4)-3=13
13 is the length for EF
29+13= 42
So in the end, your answer will be 29.
The value of x is 28 millimeters in the composite figure of two right-angled triangles lying next to each other
<h3>What is a composite figure?</h3>
A composite figure is a figure that is produced from the combination of two geometric shapes together.
The diagrammatic expression of a composite figure consists of two right-angled triangles lying next to each other can be seen in the image attached below.
For the left-side right-angled triangle, we have:
13² = h² + 5²
h² = 13² - 5²
h = √(169-25)
h = 12
Recall from the diagram that:
h² = pq
∴
12² = 5x
x = 144/5
x ≅ 28 millimeters
Learn more about composite figures here:
brainly.com/question/15981553
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Answer:
Step-by-step explanation:
to convert degree to radians multiply with π/180
therefore -15° =-(15 ×π/180) = -π/12
Hello! The sum of four consecutive integers that equal -18 are -6, -5, -4, And -3. -3 is the greatest out of all of the integers and -6 is least out of all the integers. The further right on the number line, the greater it is. The further left on the number line, the lower it is.
Answer:
60/37 or 1 23/37 hours.
Step-by-step explanation:
Work in rates per hour:
1/4 + 1/5 + 1/6 = 1/x where x is the time taken when they work together.
Multiply through by the LCD ( = 60x):
15x + 12x + 10x = 60
37x = 60
x = 60/37 = 1 23/37 hours.
