Given:
The triangles DEF is similar to GHF.
The objective is to find a similar ratio of DF/DE.
Explanation:
Using the basic proportionality theorem, for the similar triangles DEF and GHF,
Considering the first two ratios of equation (1),
On interchanging the segments further,
Hence, the required segment in the blanks is GF/GH.
Answer:
33.) = 4
34.) = 2
35.) = 6
36.) = 6
37.) = 91
38.) = 35
39.) = 4
40.) = 28
41.) = 18
42.) = (-6)
Step-by-step explanation:
<h3>33.)</h3>
(10 + 6) ÷ [(9 – 5) × (5 – 4)²]
(16) ÷ (4) × (1)²
16/4 = 4
Thus, The answer is 4
<h3>
34.)</h3>
(3² × 2) ÷ (5 + 8 – 5 + 1)
(9 × 2) ÷ (9)
18/9 = 2
Thus, The answer is 2
<h3>
35.)</h3>
6² ÷ {2 + 5 – [9 – (6 + 2)]}
6² ÷ [2 + 5 – (9 – 8)]
36 ÷ [2 + 5 – (1)]
36 ÷ 7 – 1
36/6 = 6
Thus, The answer is 6
<h3>
36.)</h3>
(3 × 3 × 2) ÷ (4 – 1)
18/3 = 6
Thus, The answer is 6
<h3>
37.)</h3>
4 × 3 × 10 – 4² – (10 + 3)
120 – 16 – 13
120 – 29 = 91
Thus, The answer is 91
<h3>
38.)</h3>
5 × [(22 – 1) × 2] ÷ (8 + 2 – 4)
5 × [(21) × 2] ÷ (6)
5 × 42 ÷ 6
5 × 7 = 35
Thus, The answer is 35
<h3>
39.)</h3>
-2 × 4 ÷ [2 + (-4) – (-4)] – 4
-8 ÷ (2 – 4 + 4) – 4
-8 ÷ 2 – 4
-8/-2 = 8/2 = 4
Thus, The answer is 4
<h3>
40.)</h3>
-4(-1 + 2) × 4 – 2 + (-1)
-4 × (1) × 4 – 2 – 1
(-4) × (-7) = 28
Thus, The answer is 28
<h3>
41.)</h3>
-3 – (-3 × 3) + 6 × 2
-3 – (-9) + 12
-3 + 9 + 12
6 + 12 = 18
Thus, The answer is 18
<h3>
42.)</h3>
6 – {3² + [3 × (-1)²]}
6 – [9 + (3 × 1)]
6 – (9 + 3)
6 – 12 = -6
Thus, The answer is (-6)
<u>-TheUnknownScientist 72</u>
X^2 +14x -8 / x-3
= x + 17 with a remainder of 43
See attached picture for solution.
Answer:
2(x+3) (x^2 + 5)
Step-by-step explanation:
