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Butoxors [25]
3 years ago
11

Prove segment GF = segment HF

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Answer:

GF = FH

Step-by-step explanation:

GEF & FIH

EF = FI (equal)

GEF = FIH (alternate angle)

EG = HI (parallel sides equal)

GEF & FIH are congruent, under the case of (SAS)

therefore, GF = FH (corresponding angle)

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7. The pair of polygons is similar. Find the value of x.
ohaa [14]
The polygons are said to be similar if and only if the ratio of the measures of their corresponding sides are equal. If we are to establish the equation by the definition given above that would be,

     15/10 = 60/x

The value of x from the equation is 40. Hence, the side measures 40. 

ANSWER: 40 

The answer is the last choice. 
4 0
3 years ago
There is a L-shaped sidewalk that is 158 meters long. By cutting across the lawn, the
NikAS [45]

Answer:

Each side of the L-shaped sidewalk is 126 m and 32m respectively.

Step-by-step explanation:

Given:

Total length of the sidewalk = 158 meters

Cutting across the lawn the distance = 130 meters

The L-shaped lawn will be treated as a right angled triangle.

So the 130 m distance is the hypotenuse here.

Let one side of the L-shaped lawn be 'x' meter so the another side will be (158-x) meters.

Applying Pythagoras formula.

(Hypotenuse)^2=(height)^2+(base)^2

So,

⇒ (130)^2=x^2 +(158-x)^2

⇒ (130)^2=x^2+(158-x)(158-x)

⇒ 16900=x^2+24964-158x-158x+x^2

⇒ 16900 =2x^2-316x+24964

⇒ 2x^2+316x+24964-16900=0

⇒ 2x^2-316x+8064=0

⇒ x^2-158x+4032=0

Applying quadratic formula;

Quadratic formula : \frac{\pm b \sqrt{b^2-4ac} }{2a} where a=1 and b=-158 and c=4032

So the value of x= 126 and 32.

The length of each side of the sidewalk is 'x'= 126 m and '(158-x)'='(158-126)'=32 m

7 0
3 years ago
A farmer planted corn in two different fields. He planted 500 seeds of regular corn in Field A and 500 seeds of experimental cor
I am Lyosha [343]

Answer:

its a and d obvioudly the price of the corn doesnt makethe corn be planted different

Step-by-step explanation:

so the soil causes the corn to grow in b if the soil was different then that would have caused it to grow less so A nd D

7 0
3 years ago
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Solve for y.<br> 3x + 4y = z<br> -----------------
Georgia [21]

Answer:

y= z-3x/4

Step-by-step explanation:

4y=z-3x

y=z-3x/4

3 0
3 years ago
Lavinia is standing at point A(4,8, 2). This is the starting point of a mountain hike. The end of the hike is at point B(6, 12,
kati45 [8]

Answer:

Question 1: b) Find the total distance from A to B

Distance formula:

d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2

d=Square root of (6-4)^2+(12-8)^2+(10-2)^2

d= 9.165 = 9.17 units

7 0
3 years ago
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