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3 years ago

Consider the triangle. what is the value for X what is the value for y?

Mathematics

1 answer:

lianna [129]3 years ago

3 0

Answer:

The value of x is 65° and the value of y is 155°

Step-by-step explanation:

Refer the attached figure

In triangle ABC

Angle sum property of triangle : Sum of all angles of triangle is 180°

So, 25°+90°+x=180°

115°+x=180°

x=180°-115°

x=65°

Exterior angle property : An exterior angle of a triangle is equal to the sum of the two opposite interior angles

So, 90°+x=y

So, 90°+65°=y

155°=y

Hence The value of x is 65° and the value of y is 155°

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Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

1. First 5 terms:

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

2. Sum of first 25 terms:

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

3. Type of sequence

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

For the graph x = -3 find the slope of a line that is parallel to it.

slava [35]

We have that

the slope of the line that is parallel to x=-3 is classified as undefined.

let's check the answer
1) take any two points of the line x = -3
point A (-3,0) point B (-3,5)
2) find the slope of the line x=-3
m=(5-0)/(-3+3)=5/0----------> is undefined

the answer is the option undefined

5 0

3 years ago

If a cylinder has a volume of 54 cubic inches what would be the voulume of a cone with the same radius

Mademuasel [1]

Answer:

a) 16 in³

Step-by-step explanation:

Vol (cyl) = πr²h = 54

Vol (cone) = πr²h/3

54/3 = 16

6 0

2 years ago

If f(x) = 7 + 4x and g(x)=1/2x, what is the value of (f/g)(5)?

Anestetic [448]

$f(x)=7+4x;\ g(x)=\dfrac{1}{2}x\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}=\dfrac{7+4x}{\frac{1}{2}x}=\dfrac{2(7+4x)}{x}=\dfrac{14+8x}{x}\\\\\left(\dfrac{f}{g}\right)(5)=\dfrac{f(5)}{g(5)}=\dfrac{14+8\cdot5}{5}=\dfrac{14+40}{5}=\dfrac{54}{5}=10.8$