AC = 16, AB = x + 1, and BC = x + 7. What is the measure of the length of AB? HELP

Answer:

B. 4

Step-by-step explanation:

the sum of two sides of a triangle should be longer than one other side

I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.

The n-th term of the sequence, starting with n = 1, is then

-6 + 0.5 (n - 1) = 0.5n - 6.5

and we want to find the number N such that

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]

We have

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]

Solve for N :

0.25 N ² - 6.25N + 25 = 0

N ² - 25N + 100 = 0

(N - 20) (N - 5) = 0

N = 20   or   N = 5

Answer:

Step-by-step explanation:

According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. For us, in our triangle:

a + 2b + 70 = 180 so

a + 2b = 180 -70 and

a + 2b = 110. That's why.

9514 1404 393

Answer:

  (a) The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept

Step-by-step explanation:

If we take the "steepness" of the slope to be the absolute value of the slope, then the line y=-10x +6 has a slope with a steepness of 10.

The line y -36 - 8(x -4) has a slope with a steepness of 8, so the first line is steeper.

The line y=-10x+6 has a y-intercept of 6. The line y-36 =8(x -4) has a y-intercept of 4, so the first line has a higher y-intercept.

The appropriate description of the two lines is ...

  The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept

Answer:

194.51

Step-by-step explanation:

Find 6% of 183.50

183.50 * 6%

183.50 * .06

11.01

Add this to the original price

183.50+11.01

194.51

Answer:

what do you need help with?

Step-by-step explanation:

Answer:

213

Step-by-step explanation:

(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9

=213

Answer:

Step-by-step explanation:

Ggg

Hope this helps!! :)))))))

Answer:

hypotenuse

Step-by-step explanation:

The side opposite the right angle has a special name - hypotenuse

The other two sides of the right triangle are called legs

Answer:

D

Step-by-step explanation:

25 and 6

Coefficient is the number in front of the unknown variable

Identify the coefficient(s) of the variable in the expression below.

25 - 6z

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:6}}}}}}[/tex]

Explanation:

Coefficients are numbers that are attached to variables. In the expression "25 - 6z", 6 is the coefficient since it is attached to the variable z.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Step-by-step explanation:

pls type the question

properly and I swear I will solve it

Answer:

So, the step1 is correct.

Step-by-step explanation:

The expression is

[tex](6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24[/tex]

So, the step 1 is correct.

Answer:

Distance of grocery stores from mailbox = 50 miles

Step-by-step explanation:

Given:

Distance of grocery stores = 40 miles east

Distance of mailbox = 30 miles south

Find:

Distance of grocery stores from mailbox

Computation:

Hypotenuse² = Perpendicular² + Base²

Distance of grocery stores from mailbox = √30² + 40²

Distance of grocery stores from mailbox = √900 + 1600

Distance of grocery stores from mailbox = √2500

Distance of grocery stores from mailbox = 50 miles

Answer:

48 inches

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

144 = s^2

Taking the square root of each side

sqrt(144) = sqrt(s^2)

12 = s

The side length is 12

We want to find the perimeter to determine the amount of ribbon

P =4s

P =4*12

48 inches

Answer:

a= 18x

Step-by-step explanation:

(a+d)/2 = 10x   (1)

(b +c)/2 = 8x  (2)

(b+c+d)/3 = 6x (3)

From the equation 2, we have (b+c)= 8x *2 = 16x

From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x

From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x

Step-by-step explanation:

The given equations are:

(i)

3x+2y−4=0...(1)

2x−3y−7=0...(2)

put x=0 in (1),

3(0)+2y−4=0

y=2

put y=0 in (2),

2x−3(0)−7=0

x=

2

7

put x=0 in (2),

2(0)−3y−7=0

y=−

3

7

put y=0 in (1),

3x+2(0)−4=0

x=

3

4

(x=0,y=−

3

7

)

(x=

3

4

,y=0)

(x=0,y=2)

(x=

2

7

,y=0)

(ii)

3x+2y−11=0...(1)

2x−3y+10=0...(2)

put x=0 in (1),

3(0)+2y−11=0

y=

2

11

put y=0 in (2),

2x−3(0)+10=0

x=−5

put x=0 in (2),

2(0)−3y+10=0

y=

3

10

put y=0 in (1),

3x+2(0)−11=0

x=

3

11

(x=

3

11

,y=0)

(x=0,y=

3

10

)

(x=0,y=

2

11

)

(x=−5,y=0)

The point lies in 2nd quadrant.

Answer:

second quadrant

Step-by-step explanation:

here , -2 is x component and y component is 5

since x component is negative and y component is positive it lies on the second quadrant.

Note: if both x and y component are positive then the point lies on first quadrant.

id x component is negative and y component is positive then the point lies on second quadrant.

if x both x and y component are negative then the point lies on third quadrant.

if x component is positive and y component then the point lies on fourth quadrant.

Area of Circle = pi * r* r

Diameter = 2* r

Radius = 30/2 = 15 cm

pi = 3.14

Area of circle = 3.14 * 15 *15 = 707.14 cm ^2

Hello,

[tex]0.\overline{27}=\dfrac{27}{99} =\dfrac{9}{33} =\dfrac{3}{11}[/tex]

Answer:

A. y=x and y=x+2

Step-by-step explanation:

A.

y=x and y=x+2

The equations both match the slope and intercept of the graphed equations.

Can I have the pancakes instead of the donkey?

Answer:

i

Step-by-step explanation:

Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.

Also, a negative number times another negative number, is a positive number. -2 * -2 = 4

With both of those true, then what number could be multiplied by itself to equal a negative number? i.

i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].

Hope that this helps!

Answer:

? = 10

Step-by-step explanation:

13 - (10) = 7-4 ....... 2×2 =4

3 = 3

Answer: A.

[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]

Step-by-step explanation:

Null hypothesis[tex](H_0)[/tex] : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.  

Alternative hypothesis [tex](H_a)[/tex]: A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]

Answer:

[tex]X=12.125\%[/tex]

Step-by-step explanation:

From the question we are told that:

Cost Price [tex]CP=734[/tex]

Sale Price [tex]SP=823[/tex]

Generally the equation for Profit  P is mathematically given by

 [tex]Profit=SP-CP[/tex]

 [tex]P=823-734[/tex]

 [tex]P=89[/tex]

Therefore as a percentage

Percentage Profit X is given as

 [tex]X=\frac{89}{734}*100[/tex]

[tex]X=12.125\%[/tex]

Answer:

Red=10 Pink=30

Step-by-step explanation:

you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red

Answer:

Teens who use online shopping sometimes = 6

total number of people who use online shopping sometimes = 20

total percentage of teens using online shopping sometimes = 6/20*100 => 30%

hope it helps

have a nice day

Answer:

£1,960

Step-by-step explanation:

Find the area of the room using the formula, A = lw

Plug in the length and width, and solve:

A = lw

A = 14(8)

A = 112

So, the area of the room is 112 square meters. Find the cost of carpeting the room by multiplying this by the price, £17.50

112(17.5)

= 1960

So, the price will be £1,960

Answer:

hope you like it

Step-by-step explanation:

at first change minutes to hour and calculate by dividing 98 to specific hour