In AABC, m2A = 87° and m2 B= 23°.
Select the triangle that is similar to AABC.
A. APQR, in which m2p=110° and
mZR= 23°
O B. ASTU, in which m2 S = 87° and
mzU= 70°
O C. ALMN, in which mZM = 20° and
m2N= 87°
O D. AXYZ, in which m2 X = 87° and
m2 Z= 50°

The equation of the line perpendicular to 4x + 3y = 9 and passing through (-2, 3) is option A, 3x - 4y = -18.

A linear equation can be expressed in a two-dimensional coordinate plane using the slope-intercept form. It appears as follows:

y = mx + b

When m is the slope of the line, b is the y-intercept, or the point at which the line crosses the y-axis, and y is the dependent variable (typically the vertical axis), x is the independent variable (often the horizontal axis).

The slope (m) shows how quickly y moves in relation to x, or how much y shifts for each unit change in x. It can be calculated as the difference between the changes in y and x:

M is equal to (y-change / x-change)

The equation of the line is 4x + 3y = 9.

Converting the equation in standard form we have:

4x + 3y = 9

3y = -4x + 9

y = (-4/3)x + 3

Here, the slope of the line is -4/3.

Now for the line to be perpendicular the slope needs to be negative and reciprocal thus, the slope will be 3/4.

Now, given the line passes through (-2, 3) thus, using the slope intercept form we have:

y - y1 = m(x - x1)

y - 3 = (3/4)(x + 2)

3x - 4y= -18

Hence, the equation of the line perpendicular to 4x + 3y = 9 and passing through (-2, 3) is option A, 3x - 4y = -18.

Learn more about slope intercept form here:

https://brainly.com/question/29146348

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Answer:

x = -8 and x =1

Step-by-step explanation:

Given the equation

X^2+7x=8

X^2+7x-8 = 0

Factorize

x^2 - x +8x - 8 = 0

x(x-1)+8(x-1) = 0

(x+8)(x-1) = 0

x+8 = 0 and x-1 = 0

x = 0-8 and x = 0+1

x = -8 and 1

Hence the required solution is x = -8 and x =1

Answer:

9/8 is greater

Step-by-step explanation:

9/8 is 1.125

11/12 is 0.916

Answer: [tex]\$25.201[/tex]

Step-by-step explanation:

Given

The Medicare tax rate is 1.45%

The wages of a person is $1738

The amount which is withheld from the person paycheck is

[tex]\Rightarrow 1738\times 1.45\%\\\Rightarrow 1738\times 0.0145\\\Rightarrow \$25.201[/tex]  

Answer:

3.09 , 3.45 , 3.65 , 3.89

Step-by-step explanation:

I dunno what to say besides common sense lmao

3.09 3.45 3.65 3.89 yes

Answer:

78 cm^2

Step-by-step explanation:

This will require 3 steps.

1) Area of the entire rectangle

18cm * 8 cm = 144 cm^2

2) Area of the square with one side length of 9cm

The missing measurement for the heights below 2cm

8cm - 2 cm = 6 cm

This area will be 6cm * 9 cm = 54 cm^2

3) Triangle

You have your height, which is 6cm

You also have your base, 18 cm total length minus the 5 cm stated minus the 9 cm also stated.

18cm - 5cm - 9 cm = 4 cm

The area of a triangle is A= h b/2

A = 6 * (4/2)

A = 12 cm^2

Now substract the sum of the smaller rectangle and the triangle from your large triangle

144 - 54 - 12

Answer:

CE = 3

Step-by-step explanation:

Given 2 intersecting chords then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

x(x + 1) = 3 × 4 = 12

x² + x = 12 ( subtract 12 from both sides )

x² + x - 12 = 0 ← in standard form

(x + 4)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 3 = 0 ⇒ x = 3

But x > 0 so x = 3

Then

CE = x = 3

Answer:

Given a function f, a new function g ( x ) = f ( x − h ) \displaystyle g\left(x\right)=f\left(x-h\right) g(x)=f(x−h), where h is a constant, is a horizontal shift of the function f. If h is positive, the graph will shift right. If h is negative, the graph will shift left.

Step-by-step explanation:

Answer:

2.6

the scale interval is 0.1.

point A is -1.3 whereas point B is +1.3

their distance should be 1.3+1.3 =2.6

Answer:

2.6 units

Step-by-step explanation:

since you can count and see that there are 9 minimarks in between each whole number, you know that each minimark is equal to .1, then count how many minimarks it take you to get the the first whole number go towards zero, so starting at -1.3, you would count 3 minimarks. so now you are at -1, and you can add 2 to get to +1, so now your total distance traveled is 2.3, then count how many minimarks it takes you to get to the point, which is also three, so when you add it all together, you have 2.6

the other way to solve this is to add the absolute value of each point together, granted this only works when you have one positive point and one negative point. the equation for this would be |-1.3|+|1.3|=2.6. this works because the absolute value measure the distance from zero, so you can addd them together to get the total distance

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

Answer:

the student who prefers football but not baseball

Answer:

Step-by-step explanation:

open circle 2 left

Answer:

g(x)=0  when x= 2 or when x= 5

The graph of g intercepts the x-axis at x= 2 and x= 5

The zeros of g are 2 and 5

Step-by-step explanation:

Answer:

Ext=2x

Int=7x

Int+ext=180

2x+7x=180

9x=180

x=20

Ext=2×20=40

No of sides =360/40

=9 sides.

I hope this helped you

Step-by-step explanation:

Answer: the sides have to be the same length so an equilateral triangle a square a rhombus get what i am saying

Answer:

88 square inches

Step-by-step explanation:

A circular plate has circumference 33.3 inches.

Step 1

We find the radius

The formula to find the radius go a circle given circumference is

= C /2π

r = 33.3/2 × 3.14

r = 5.3025477707 inches

Approximately to the nearest thousandth = 5.303 inches

Step 2

What is the area of this plate? Use 3.14 for Pi.

The area of a circle = πr²

Where

π = 3.14

r = 5.3025477707 inches

Hence

Area of the circle = 3.14 × (5.303inches)²

= 88.30248026 square inches

Approximately to the nearest whole number the area of the circle = 88 square inches

The area of this plate is about 88 square inches.

Answer:

a = 26.5 units.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex] {a}^{2} =c(b + c) \\ \\ {a}^{2} = 4(4 + 45) \\ \\ = 4 \times 49 \\ \\ a = \sqrt{4 \times 49} \\ \\ a = 2 \times 7 \\ \\ a = 14[/tex]

To find the diameter of a circle, using only the circumference, you need to divide the circumference by π, or 3.14.

So in this case, you must divide 12 by 3.14, which gives you 3.82.

I even double checked this, and should be correct then.

Answer:

The diameter is approximately 3.8 mi

Step-by-step explanation:

The circumference formula is C = πd.  Dividing both sides by π results in a formula for d (diameter) when C is known:

d = C / π

In this case, with C = 12 mi,

d = 12 mi / π, or approximately 3.8 mi

Answer:

d. more than 95%

Step-by-step explanation:

According to a survey carried out by the Food Drug Administration from 2016 to 2017, termed Population Assessment of Tobacco and Health, it was discovered that a high percentage of the youth population smoked e-cigarettes with special flavorings. Specifically, it was found that 96.1% of young people within the ages of 12 to 17 started their use of e-cigarettes with the flavored options.

As at the time when the report was being published, 97% of e-cigarette users reported having used flavored e-cigarettes in the past month. The above data shows that more than 95% of youths that vape have smoked e-cigarettes with special flavorings.

Answer:

[tex]{\text{C. }603.3\:\mathrm{miles}[/tex]

Step-by-step explanation:

The Law of Cosines works for any triangle and can be used to solve a triangle when we are given two sides and the angle between them.

Letting the missing side be [tex]c[/tex]:

[tex]c^2=a^2+b^2-2ab\cos C,\\c^2=400^2+250^2-2\cdot 400\cdot 250\cdot \cos135^{\circ},\\c^2=363921.356237,\\c=603.258946256\approx \boxed{\text{C. }603.3\:\mathrm{miles}}[/tex]

Answer:

(x - 2)² + (y - 6)² = 4

Step-by-step explanation:

Equation of a circle is given by,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle

r = Radius of the circle,

From the graph attached,

Center of the circle → (2, 6)

Radius of the circle = 2 units

Therefore, equation of the circle will be,

(x - 2)² + (y - 6)² = 2²

(x - 2)² + (y - 6)² = 4

Answer: √144, 5, 13

Step-by-step explanation:

√144 = 12 and 5, 12, 13 is a pythagorean triplet.

Step-by-step explanation:

4+2+2+4+5 - 17

in nearest ten - 100 but i am not sure

Answer:

1840 = 2x, where  x = jazz tickets

Step-by-step explanation:

Since twice as many rock concert tickets were sold, and 1840 were sold, that means that 1840 is equal to twice the number of jazz concert tickets.

Answer:

Step-by-step explanation:

Answer:

614400°

Step-by-step explanation:

The answer Is B. In 7-9, There is a large cluster of students.

Answer:

b

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I honestly find it quite disturbing. That is just me though, and I just hate seeing animals get hurt.

Answer:

f'(x) = -1/(1 - Cos(x))

Step-by-step explanation:

The quotient rule for derivation is:

For f(x) = h(x)/k(x)

[tex]f'(x) = \frac{h'(x)*k(x) - k'(x)*h(x)}{k^2(x)}[/tex]

In this case, the function is:

f(x) = Sin(x)/(1 + Cos(x))

Then we have:

h(x) = Sin(x)

h'(x) = Cos(x)

And for the denominator:

k(x) = 1 - Cos(x)

k'(x) = -( -Sin(x)) = Sin(x)

Replacing these in the rule, we get:

[tex]f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2}[/tex]

Now we can simplify that:

[tex]f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2} = \frac{Cos(x) - Cos^2(x) - Sin^2(x)}{(1 - Cos(x))^2}[/tex]

And we know that:

cos^2(x) + sin^2(x) = 1

then:

[tex]f'(x) = \frac{Cos(x)- 1}{(1 - Cos(x))^2} = - \frac{(1 - Cos(x))}{(1 - Cos(x))^2} = \frac{-1}{1 - Cos(x)}[/tex]

Answer:

12

Step-by-step explanation:

The base radius is 3

The height of the cylinder is 5

The height of the cone is 4

Add The Numbers

3 + 5 + 4 = 12

Answer:

57π cm³ ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]

Step-by-step explanation:

Cone Volume = ⅓πr²h

Cylinder Volume = πr²h

__________________

Given:

_____________________

The total volume will be the sum (addition) of the cones volume and the cylinders volume.

Therefore:

Total volume = ⅓πr²(h_1) + πr²(h_2)

Total volume = (⅓(h_1) + (h_2))(πr²)

Total volume = (⅓(4 cm) + (5 cm))(π(3 cm²))

Total volume = (4/3 + 5)(9π) cm³

Total volume = (19/3)(9π) cm³

Total volume = 57π cm³

Total volume = 179.0707812546.. cm³

Total volume ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]

Answer:

3) 3k+20

4) 4+2d

Step-by-step explanation:

You first have to distribute by multiplying the number next to the expression in the parenthesis. Then you combine like terms.

3) 5(k+4)-2k

  Step 1: (5×k= 5k) (5×4=20) equation is now 5k+20-2k

  Step 2: 5k-2k=3k since they both have the same variable you combine like terms. Equation is now 3k+20 (Final answer)

4) 2(3+d-1)

  Step 1: (2×3=6) (2×d=2d) (2×[-1]=2) Equation is now 6+2d-1.

  Step 2: (6-2=4) Since both 6 and 1 don't have any variable their like terms and you combine them. Equation is now 4+2d (Final answer)