Answer:
- Part 2 - ∠EGF = 105°
- Part 3 - ∠D = 65
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Step-by-step explanation for Part-2:
<u>We know that:</u>
- ∠EFG = 32°
- ∠AEG = 137°
- ∠EFG + ∠FGE + ∠GEF = 180°
<u>Work:</u>
- ∠EFG + ∠FGE + ∠GEF = 180°
- 32 + ∠FGE + (180 - 137) = 180°
- => 32 + ∠FGE + 43 = 180°
- => 75 + ∠FGE = 180°
- => ∠FGE = 180 - 75
- => ∠FGE = ∠EGF = 105°
Hence, the measure of ∠EGF is 105°.
<h3>________________________________________________</h3>
Step-by-step explanation for Part-3:
<u>We know that:</u>
- CD = CA
- This triangle is an isosceles triangle.
- ∠D = ∠A
<u>Work:</u>
- 50 + ∠D + ∠A = 180
- => ∠D + ∠D = 130
- => 2∠D = 130
- => ∠D = 130/2
- => ∠D = 65
Hence, the measure of ∠D is 65°
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We want the ratio of calories of an orange to a cookie and are told that an orange has 35 calories and a cookie has 130 so:
O:C=35:130
The greatest common factor of 35 and 130 is the product of the shared primes of the numbers prime factorization.
35=5*7 and 130=2*5*13, so the GCF is just 5, so divide each term by 5
O:C=7:26
Answer:
The scale factor is 4
Step-by-step explanation:
This question requires an attachment; I'll answer this question using the attached figure
From the attachment
<em>Length OA = 3 units</em>
<em>Length OA' = 3 units + 9 units</em>
<em>Length OA' = 12 units </em>
<em></em>
Scale Factor is calculated as follows;
Given that the original shape is ABC, the original side will be OA
Hence, Original Side = 3 units
New Side = OA' = 12 units
The formula becomes
<em>Hence, the scale factor is 4</em>
For this case what you should do is follow the following transformation:
(x, y) ---> k (x, y) ---> (kx, ky)
Applying the transformation to the ordered pair we have:
(15, -9) ---> 3 (15, -9) ---> ((3) * (15), (3) * (- 9)) ----> (45, -27)
Answer:
its new location is:
(45, -27)
Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
To find the exact value in fractions of the followings:
Exponents also called powers its a way of expressing a number multiplied by itself by a certain number of times.
Using 
.......[1]
(a)
Fraction represents a part of a whole or more generally, any number of equal parts.
= 
[ Using [1]]
(b)
= 
[ Using [1]]
(c)
= 
[ Using [1]]
