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Diano4ka-milaya [45]

2 years ago

7

Triangle ABC has < A ≅ < B and BC ≅ AC. Find m

1 answer:

lapo4ka [179]2 years ago

4 0

there is no drawing how should I do

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PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

5 0

3 years ago

5) 5x-4= 20<br> у = 3х - 12<br> solve

vredina [299]

Answer:

Step-by-step explanation:

5x-4=20

5x=24: x=24/5

y=3x-12

y=3(24/5)-12

y = (72-60)/5

y=12/5

6 0

3 years ago

Jocelyn is pregnant and needs to eat at least 500 more calories a day than usual. when buying groceries one day with a

stiks02 [169]

90b + 150g > 500

0.35b + 2.50g < 15.00

what, is the question asking. These might help

3 0

2 years ago

Write an equation that is parallel to the line x + 3y = 2 and passes through the point (1, 0).

Nady [450]

Answer:

y = -1/3x + 1/3

Step-by-step explanation:

x+3y=2

3y = 2 - x

y = 2/3 - 1/3x

y = -1/3x +2/3

the slope is -1/3 and the equation that is parallel will have the same slope also

y = mx + b

y = -1/3x + b

0 = -1/3(1) + b

0 = -1/3 + b

1/3 = b

y = -1/3x + 1/3

4 0

3 years ago

At a certain fast-food restaurant, 69 % of customers order a chicken sandwich, 46 % of customers order french fries, and 36 % of

Leviafan [203]

We have events:

A - <span>customer orders a chicken sandwich
</span>B - <span>customer orders french fries

and probabilities:

$P(A)=0.69\\\\P(B)=0.46\\\\P(A\cap B)=0.36$

so:

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.69+0.46-0.36=\boxed{0.79}$
</span>

7 0

3 years ago