Hi
<u>The area of a triangle is </u>

If we plug in the given values, we get:

Multiply in the numerator:

Divide:

Therefore, the area of the triangle is 35 inches squared.
 
        
                    
             
        
        
        
Answer:
See below for answers (in bold) and explanations
Step-by-step explanation:
Part A: (h+t)(x) = h(x) + t(x) = (2x-5) + (6x+4) = 2x - 5 + 6x + 4 = 8x - 1
Part B: (h*t)(x) = h(x) * t(x) = (2x-5) * (6x+4) = (2x)(6x) + (2x)(4) + (-5)(6x) + (-5)(4) = 12x² + 8x - 30x - 20 = 12x² - 22x - 20
Part C: h(t(x)) = h(6x + 4) = 2(6x + 4) - 5 = 12x + 8 - 5 = 12x + 3
 
        
             
        
        
        
Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.
Let AD=x, Since given AB=3
                                      AD+DB=3
                                        x+DB = 3
                                         DB = 3-x
Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem
 


Since given AD=BC,let us plugin BC=x in above step.


6x=11
 x=
Now we know AD=x= and given CD=√2.
 and given CD=√2.
Let us apply Pythagoras theorem for ΔACD



 = 2.315cm
 = 2.315cm
 
        
             
        
        
        
The expression for the total number of miles he drove in the two weeks is m + 153
<h3>How to determine the expression for the total number of miles he drove in the two weeks?</h3>
The given parameters are
Last week = m miles
This week = 153 miles
The expression for the total number of miles he drove in the two weeks is
Expression = Last week + This week
This gives
Expression = m + 153
Hence, the expression for the total number of miles he drove in the two weeks is m + 153
Read more about expressions at
brainly.com/question/723406
#SPJ1
 
        
             
        
        
        
<h3><u>Given</u><u>:</u><u>-</u></h3>
- Perimeter of parallelogram = 66 ft
<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>
Find the longest side of a parallelogram.
<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>
Perimeter of parallelogram = 2 ( a + b )
<h3>
<u>Solution:-</u><u> </u></h3>
We know that, 
Perimeter of parallelogram = 2 ( a + b )
★ Substituting the values in the above formula,we get:
⇒ 66 = 2 ( 3x + 1 + 2x - 3 )
⇒ 66 = 2 ( 5x - 2 )
⇒ 66/2 = 5x - 2
⇒ 33 = 5x - 2
⇒ 5x - 2 = 33
⇒ 5x = 33 + 2
⇒ 5x = 35
⇒ x = 35/5
⇒ x = 7 ft
Now, 
One side,a = 3x + 1 
★ Putting the value of x
⇒ 3 × 7 + 1
⇒ 21 + 1
⇒ 22 ft
Other side,b = 2x - 3
★ Putting the value of x
⇒ 2 × 7 - 3
⇒ 14 - 3
⇒ 11 ft
Hence,the longest Side of given parallelogram is 22 ft  ( 3x + 1 ) .