Hello, could someone please help me with this question and also explain it to me to?
1 answer:
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Sum of complementary angles always equal to 90°.
Given, <A and <J are complementary angles. So, we can set up an equation as following:
m<A+ M<J= 90
Next step is to plug in m<A = 5x + 30 and m<J = 4x +15 in the above equation. So we will get,
5x+30+4x+15=90
(5x+4x)+(30+15)=90 Group the like terms.
9x+45=90 Combine the like terms.
9x+45-45=90-45 Subtract 45 from each sides.
9x=45 By simplifying.
Divide each sides by 9.
x=5.
So, x=5.
Answer:
If 5 red shirts are added into the box, 7 : 8 is the new ratio.
Step-by-step explanation:
The number of red shirts = 16
Let the number of black shirts = k
Now as the ratio of Red Shirts : Black Shirt = 2 : 3
By RATIO OF PROPORTIONALITY:
⇒
or,
Hence, the number of Black Shirts in the Store = 24
Now, new number pf red shirts = 16 + 5 = 21
So, by the proportionality again, ratio is
Hence, the new ratio of Red shirts : Black Shirts = 7 : 8