Question

Can someone help me with this question please!!!!!

Answer 1

Answer:

a = 29

u = 12

Step-by-step explanation:

32 + 7u + 9 + 2a - 3 = 3a + 7u + 9

32 + 2a - 3 = 3a

a = 29

3(29) + 7u + 9 = 180

7u = 180 - 96

7u = 84

u = 12

Answer 2

Solution:

We know that:

• Interior angles of a triangle sum up to 180°.
• $3a + 7u + 9 = 180\°$

This means that:

• $(7u + 9) + (2a - 3) + 32 = 3a + 7u + 9$

Let's simplify the equation to find a.

Step-by step calculations:

Open the brackets:

• $(7u + 9) + (2a - 3) + 32 = 3a + 7u + 9$
• $7u + 9 + 2a - 3 + 32 = 3a + 7u + 9$

Cancel same terms on both sides:

• $7u + 9 + 2a - 3 + 32 = 3a + 7u + 9$
• $2a - 3 + 32 = 3a$

Simplify the LHS:

• $2a + 29 = 3a$

Subtract 2a both sides:

• $2a - 2a + 29 = 3a - 2a$
• => $29 = 3a - 2a$

Simplify the RHS and change the sides:

• => $\bold{a = 29}$

Let's substitute the value of a in 3a + 7u + 9 = 180° to find u.

• $3a + 7u + 9 = 180\°$
• => $3(29) + 7u + 9 = 180\°$

Simplify the LHS:

• => $87 + 9 + 7u = 180$
• => $96 + 7u = 180$

Subtract 96 both sides:

• => $96 - 96 + 7u = 180 - 96$
• => $7u = 84$

Divide 7 both sides:

• => $\frac{7u}{7} = \frac{84}{7}$
• => $\bold{u = 12}$