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3 years ago

Prove triangle ayb and triangle hya are similar.then find value of x

Mathematics

1 answer:

MArishka [77]3 years ago

7 0

Answer:

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Step-by-step explanation:

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Question: Find The Sum Of The Integers From -6 To 58 Of Ss. O 1,500 O 1,734 O 1,690 O 1,621

REY [17]

Answer:

The Sum Of The Integers From -6 To 58 is 1690.

Step-by-step explanation:

Given,

$a=-6$

$T_n=58$

We have to find out the sum of integers from -6 To 58.

Firstly we will find out the total number of terms that is 'n'.

Here $a_1=-6\ and\ a_2=-5$

$\therefore d=a_2-a_1=-5-(-6)=-5+6=1$

Now we use the formula of A.P.

$T_n=a+(n-1)d$

On substituting the values, we get;

$58=-6+(n-1)1\\\\n-1=58+6\\\\n-1=64\\\\n=64+1=65$

So there are 65 terms in between -6 To 58.

That means we have to find the sum of 65 terms in between -6 To 58.

Now we use the formula of Sum of n_terms.

$S_n=\frac{n}{2}(2a-(n-1)d)$

On substituting the values, we get;

$S_{65}=\frac{65}{2}(2\times-6+(65-1)1)\\\\S_{65}=\frac{65}{2}(-12+64)\\\\S_{65}=\frac{65}{2}\times52\\\\S_{65}=65\times26=1690$

Hence The Sum Of The Integers From -6 To 58 is 1690.

5 0

3 years ago

Find the distance CD rounded to the nearest tenth C=(10,-1) and D=(-6,3)

Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: $L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1

point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3

Substitute the information into the formula

$L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

$CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }$ Simplify inside each bracket

$CD = \sqrt{(-16)^{2}+(4)^{2} }$ Square the numbers

$CD = \sqrt{256+16 }$ Add inside the root

$CD = \sqrt{272}$ Enter into calculator

$CD = 16.5$ Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

4 0

4 years ago

Determine an algebraic expression for the probability of each genotype in terms of p (the probability of inheriting D) and q (th

Gnoma [55]

Jfjfirnfijgojfjdjrifrorbodhduhehcbcjdbdjdjdbjdnkdjdnkjdksjsinjdbhdnisbhdnldbdudnoshusbdkdhujslalnzjsjdbdhdjdvdhr

4 0

3 years ago

Translate this phrase into an algebraic expression. 61 less than twice Greg's score

marishachu [46]

I think the answer is x times 2 - 61

5 0

3 years ago

1. Solve the equations below.

Sergio039 [100]

Step-by-step explanation:

A) 3x + 8 = 23

3x = 23 - 8

3x = 15

x = 15 / 3 = 5

B) 5x + 1 = 3x + 17

5x - 3x = 17 - 1

2x = 16

x = 16 /2 = 8

C) 4 (x+2) = 32

4x + 8 = 32

4x = 32 - 8

4x = 24

x = 24 / 4 = 6

7 0

3 years ago