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dimulka [17.4K]
3 years ago
7

A 4 meter ladder leans against a house forming a

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer: 2

Step-by-step explanation:

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Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
3 years ago
Functions f(x) and g(x) are shown below:
kondor19780726 [428]
We look for the minimum of each function.
 For f (x) = 3x2 + 12x + 16:
 We derive the function:
 f '(x) = 6x + 12
 We match zero:
 6x + 12 = 0
 We clear the value of x:
 x = -12/6
 x = -2
 We substitute the value of x in the equation:
 f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
 f (-2) = 4
 For g (x) = 2sin(x-pi):
 From the graph we observe that the minimum value of the function is:
 y = -2
 Answer:
 
A function that has the smallest minimum y-value is:
 
y = -2
4 0
3 years ago
Maya walks 9 blocks to school. If she walks 2 blocks in four minutes, how long will it take Maya to get to school.
katrin2010 [14]

Hello!

In order to find this out we should first know the ratio for the time and distance. So it takes her 4 minutes to go 2 blocks. So the ratio looks like this: 4:2. If we are trying to find 9 blocks, then multiply it by 4 and just add the other two minutes .

So in total your answer is: It takes Maya 18 minutes to walk 9 blocks.

I hope it helps!

4 0
4 years ago
Read 2 more answers
Can someone please help me with this ⬆️⬆️⬆️it's the picture above ... 13/78=×/12
ratelena [41]
I am pretty sure x=2
3 0
4 years ago
Read 2 more answers
Please help I will give brainliest
Hunter-Best [27]

Answer:

D

Step-by-step explanation:

IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY

so I'm pretty sure u the arch equals twice the angle

so pi/2*2 = pi so D

hope it helppsss

trying not to dieT-T

7 0
2 years ago
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