Answer:
9p = 54
Step-by-step explanation:
19p = 10p + 54
Subtract 10p on both sides,
19p - 10p = 54
9p = 54
Answer:
25. a = 60
26. a = 17
Step-by-step explanation:
In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure
so we have
25.
![6a+10=130\\\\6a=130-10\\\\6a=120\\\\a=60](https://tex.z-dn.net/?f=6a%2B10%3D130%5C%5C%5C%5C6a%3D130-10%5C%5C%5C%5C6a%3D120%5C%5C%5C%5Ca%3D60)
and for 26 we have
![4a-4=2a+30\\\\4a=2a+30+4\\\\4a=2a+34\\\\4a-2a=34\\\\2a=34\\\\a=17](https://tex.z-dn.net/?f=4a-4%3D2a%2B30%5C%5C%5C%5C4a%3D2a%2B30%2B4%5C%5C%5C%5C4a%3D2a%2B34%5C%5C%5C%5C4a-2a%3D34%5C%5C%5C%5C2a%3D34%5C%5C%5C%5Ca%3D17)
She made the mistake in step 4
She should have divided by -2 not just 2 alone
75.
Explanation: from 3 to 12, you add 9, and then double the 12 to get to 24, and then add 9 again to get to 33, and double it to get 66, so the pattern is to add 9 and then double.
Answer:
![\frac{10}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B21%7D)
Step-by-step explanation:
The LCM of 14, 21 and 6 is 42
We require to change the fractions to fractions with a denominator of 42
+
+ ![\frac{1(7)}{6(7)}](https://tex.z-dn.net/?f=%5Cfrac%7B1%287%29%7D%7B6%287%29%7D)
=
+
+
← add the numerators, leaving the denominator
= ![\frac{9+4+7}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B9%2B4%2B7%7D%7B42%7D)
=
← divide both values by 2
=
← in simplest form