Answer: shorter: 24 longer: 41
Step-by-step explanation: we need to write an equation. x+(2x-7)=65. We don’t need the parentheses, but I put them so it would make it a bit more clear. Simplify: 3x-7=65. Add 7 to both sides: 3x=72. Divide by three: 72/3=24 Now we know the shorter piece is 24. 24x2-7=48-7=41. We know these are correct because 24+41=65
Answer:
The correct answer is option B. 4√3/3
Step-by-step explanation:
<u>Points to remember</u>
If a right angled triangle with with angles 30°, 60° and 90° then the sides are in the ratio 1 :√3 : 2
<u>To find the value of y</u>
From the figure we can see two right angled triangle.
From the figure we get height 'h' of large triangle is written by,
h : base : 8 = 1 : √3 : 2
Therefore h = 8/2 = 4
Also we can write,
y : h : hypotenuse of small triangle = 1 : √3 : 2
y : 4 : hypotenuse = 1 : √3 : 2
Therefore y = 4/√3 = 4√3/3
The correct answer is option B. 4√3/3
4/49 x 49/144
49/144
I hope this helps :-)
Answer: b. 2x = 30
Step-by-step explanation:
Given : <u>30 states</u> joined the United States between 1776 and 1849
and <u>x states</u> joined between 1850 and 1900 .
If the number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900.
i.e. No. of states joined the United States between 1776 and 1849= 2 (No. of states that joined between 1850 and 1900)
i.e . 30= 2(x) [Substitute the values]
i.e . 2x=30
Hence, the true equation : 2x=30
