First get everything to one side by adding 9 to 2x + 3 and you end up with 2x + 3 + 9 > 0 and you add 9 and 3 and it will be 2x + 12 > 0 and do the same for the second one but if your trying to solve for x, subtract the 3 on both sides and you will get 2x > -12 then you divide 2 by both sides and you get x which is

x > -6

**Answer:**

She spends 0.98 min, that is, aprroximately 1 min waiting at traffic lights.

**Step-by-step explanation:**

**The length of the drive is 6 8/9 minutes**

As a fraction, this is:

**She spends 1/7 of this time waiting at traffic lights.**

This is 1/7 of 62/9. So

**Time waiting:**

She spends 0.98 min, that is, aprroximately 1 min waiting at traffic lights.

**Answer:**

**Δ QRS ≈ Δ QST ≈ Δ SRT **⇒ **3rd **answer

**Step-by-step explanation:**

From the given figure

In Δ QRS

∵ m∠S = 90°

∵ m∠S = m∠QST + m∠RST

∴ **m∠QST + m∠RST = 90° ⇒ (1) **

- Use the fact the sum of the measures of the interior angles

of a Δ is 180°

∴ m∠Q + m∠S + m∠R = 180°

∵ m∠S = 90

∴ m∠Q + 90° + m∠R = 180°

- Subtract 90 from both sides

∴ **m∠Q + m∠R = 90° ⇒ (2)**

In Δ QST

∵ m∠QTS = 90°

- By using the fact above

∴ **m∠Q + m∠QST = 90 ⇒ (3)**

- From (1) and (3)

∴ m**∠QST** + m∠RST = m∠Q + **m∠QST**

- Subtract m∠QST from both sides

∴ **m∠RST = m∠Q **

In Δ SRT

∵ m∠STR = 90°

- By using the fact above

∴ **m∠R + m∠RST = 90 ⇒ (4)**

- From (1) and (4)

∴ m∠QST + **m∠RST** = m∠R + **m∠RST**

- Subtract m∠RST from both sides

∴ **m∠QST = m∠R **

In Δs QRS and QST

∵ m∠S = m∠QTS ⇒ right angles

∵ m∠R = m∠QST ⇒ proved

∵ ∠Q is a common angle in the two Δs

∴ **Δ QRS ≈ Δ QST** ⇒ AAA postulate of similarity

In Δs QRS and SRT

∵ m∠S = m∠STR ⇒ right angles

∵ m∠Q = m∠RST** ** ⇒ proved

∵ ∠R is a common angle in the two Δs

∴ **Δ QRS ≈ Δ SRT** ⇒ AAA postulate of similarity

If two triangles are similar to one triangle, then the 3 triangles are similar

∵ Δ QRS ≈ Δ QST

∵ Δ QRS ≈ Δ SRT

∴ **Δ QRS ≈ Δ QST ≈ Δ SRT**

**Answer:**

**f(-3)= 19 **

**Step-by-step explanation:**

**you have to use substitution. Every time that you see an x, plug it in for a -3**

**f(x)= -5x+4**

**f(-3)= -5(-3)+4**

**f(-3)= 19 **

**Answer:**

∠1 = 107

∠2 = 73

**Step-by-step explanation:**