The missing **statement **and** reasons** are;

<u><em>Statement 5; 12x + 20 = 11x + 23
</em></u>

<u><em>
Reason 2; Vertically opposite angles are equal
</em></u>

<u><em>
Reason 4; Transitive property of equality.
</em></u>

<u><em>
Reason 6; Subtraction Property of Equality.</em></u>

We are given that;

∠BDA ≅ ∠A

We want to prove that; x = 3

**Statement 1; ∠BDA ≅ ∠A**

Reason; It is Given

**Statement 2; ∠BDA ≅ ∠CDE;** The statement means they are congruent and equal.

Reason; Vertically opposite angles are equal

**Statement 3; ∠CDE ≅ ∠A**; This means ∠CDA is congruent to ∠A.

Reason; Transitive property of congruence.

**Statement 4; m∠CDE = m∠A**. We saw that ∠BDA ≅ ∠A and ∠BDA ≅ ∠CDE. Thus, by transitive property of equality, we can say that; m∠CDE = m∠A.

Reason; Transitive property of equality.

**Statement 5; 12x + 20 = 11x + 23**

Reason is; Substitution property of equality

**Statement 6; 12x = 11x + 3;** In statement 5 above, what was done to get this statement 6 was to subtract 20 from both sides. This is known as subtraction property of equality.

Reason; Subtraction Property of Equality.

Read more at; brainly.com/question/25043995

**Answer:**

slope=-3

y-intercept=-4

**Step-by-step explanation:**

slope= change in y/changes in x

pick any 2 co-ordinates (i'm using (-3,5) and (-1, -1))

5--1/-3--1=6/-2=-3

substitute that into the equation y=mx+c with m being the slope

y=-3x+c

-7=-3+c

c=-4

y intercept=-4

**Answer:**

c. 7x+11x=90

**Step-by-step explanation:**

right angle triangle sum up to 90

The value of **cement mixer** after **t year **is

Given to us

The value of **cement mixer** when **bought**, = $ 54,205

the value of** cement mixer** after** 1 year**, = $ 47,158. 35

the value of** cement mixer** after **2 year**,= $ 41,027. 76

To find out **depreciation **we can use the formula for** depreciation,**

By putting the value, in the formula we get,

Therefore, putting the value of and in** depreciation formula** for years we get,

Hence, the** value** of **cement mixer **after **t year** is .

To know more visit:

brainly.com/question/3023490