Question
Example
Step by Step
A
You can represent the measures of an angle and its complement as xºand (90-x)º.
Similarly, you can represent the measures of an angle and its supplement as x and
(180 - x )°. Use these expressions to find the measures of the angles described.
The measure of an angle increased by 68° is equal to the measure of its complement.
The measure of the angle is
and the measure of its complement is

Answer:

Here we need to use:

[tex]\sqrt{x^2} = |x|[/tex]

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Then the distance between:

(-3, -5) and (9, -5) is just:

[tex]D = \sqrt{(-3 - 9)^2 - (-5 - (-5))^2} \\\\D = \sqrt{(-3 - 9)^2} = |-3 - 9|[/tex]

because both numbers inside the absolute value, we can rewrite it as:

|-3 - 9| = |-3| + |-9| = |-3| + |9| = 12

So, by finding the distance between  (−3, −5) and (9, −5), we got the given expression, in this way we prove that the given expression represents the distance between these points.

Answer:

under

Step-by-step explanation:

The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Given,

ΔABC ≅ ΔXYZ

If these 2 triangles are congruent with each other then,

∠ A = ∠ X [tex]\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}[/tex]

∠ B = ∠ Y [tex]\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}[/tex]

∠ C = ∠ Z [tex]\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}[/tex]

Now,

We saw that ∠ C = ∠ Z.

⟹ So, if ∠ C = 32°, then even ∠ Z will be equal to 32°. [tex]\boxed{\sf{Equal \ angles \ have \ equal \ measurements}}[/tex]

ᶛɲƧཡэʀ ↦ C. m ∠X = 32°

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Step-by-step explanation:

Four friends all give each other presents. The total cost of the presents is £80.52. We need to find the mean cost of a present in pounds. So, the mean cost of a present is equal to 20.13 .

Answer:

[tex]theta = \frac{3}{2} \pi + 2k\pi[/tex]

Step-by-step explanation:

+2*k*pi is for the periodicity (if you turn 360° you get back to the same point)

Answer:

Step-by-step explanation:

From the picture attached,

ΔDEF is a right triangle with two sides,

EF = 17 units

DF = 20 units

By applying Pythagoras theorem in the given triangle,

DE² = DF² + EF²

(20)² = DF² + (17)²

DF² = 400 - 289

DF = √111

Trigonometric ratios for the ∠F,

sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\text{sin}F=\frac{\sqrt{111}}{20}[/tex]

[tex]\text{cosF}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\text{cos}F=\frac{17}{20}[/tex]

[tex]\text{tan}F=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\text{tan}F=\frac{\sqrt{111}}{17}[/tex]

Choose the correct option.

Answer:

y is 4

Step-by-step explanation:

x is 3

y is 4 coordinate is (3,4)

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 3(x-3y)

Step-by-step explanation: first you have to take the 3x and split it up so it can make 3(x-3y) then you have to rewrite it to -9 as 3x3 and then factor out common term 3 which would be your final answer 3(x-3y)

Answer:

6x - 15

Step-by-step explanation:

f(x) = 2x + 3 and g(x) = 3x - 9.

[tex]f(g(x))=2(3x-9)+3\\f(g(x))=6x-18+3\\f(g(x))=6x-15[/tex]

Answer:

m=f+Frt

M=f(1+rt)

M\1+rt=F

Answer:

To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates. Do not write the power of ten anymore

Answer:

6/20

Step-by-step explanation:

3/10*2/2=6/20

hope it helped, please mark me brainliest.

Step-by-step explanation:

[tex]x = kh \\ x = 33 \\ hj = 4x + 9 \\ x = 9 - 4 \\ x = 5 \\ jk = 3x + 3 \\ x = 3 - 3 \\ x = 0[/tex]

Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

Answer:

2

Step-by-step explanation:

Please Mark me brainliest

Answer:

m = 5/4

y intercept = -3

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = \dfrac{5}{4}x -3[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = \dfrac{5}{4}\\[/tex]

[tex]\implies y - intercept= -3 [/tex]

general slope intercept form of a straight line is, y = mx + c

Slope of the line (m) = 5/4,

y-intercept of the line if when x=0 i.e.

y = 5/4x - 3

y = 5/4×0 - 3

y = -3

Answered by GAUTHMATH

Answer:

13:11

Step-by-step explanation:

325:275

If divided by 5 all through, you get 65:55, then by 5 again you get 13:11

Answer:

13/11 = 1.1818

Step-by-step explanation:

Boys/girls = 325/275 = 13/11 = 1  2/11 = 1.1818

I don't know what simplest form means.

Answer: 13.

Step-by-step explanation:

Since Ned was 6 under par on Saturday and 7 over par on Sunday, the difference in his score on Sunday compared to his score on Saturday will be:

= 7 - (-6)

= 7 + 6

= 13

Therefore, the difference in the scores on Saturday compared to that of Sunday is 13

Answer:

-7x and -2x

Step-by-step explanation:

because -7x and -2x are on the same side of the equation. the equal sign in the equation, -7x+12-2x = 23+13x is basically a different way of writing -7x+12-2x and 23+13x.

they're kind of like 2 separate equations. hope this helped! :)

Hello,

First, you must understand that

(f-g)(x) means f(x)-g(x) it is the difference of two functions :

f(x)=2x+4 and g(x)=3x-7

f(5)=2*5+4=10+4=14

g(5)=3*5-7=15-7=8

So, (f-g)(5)= f(5)-g(5)=14-8=6

Answer A: none of the choices are correct.

An other way to do it:

(f-g)(x)=f(x)-g(x)=2x+4-(3x-7)= 2x-3x+4+7=-x+11

if x= 5 then (f-g)(5)=-5+11=6

Answer:

The answer is (A) 75

Step-by-step explanation:

Answer:

A 75

Step-by-step explanation:

10*5(number of ducks that lay an egg everyday)

5*5(number of ducks that lay an egg every second day)

10*5 + 5*5

Answer:

(4 , -25)

Step-by-step explanation:

that is the procedure above

the vertex of the parabola is calculated by the formula                                          

[tex]\displaystyle\ ax^2+bx+c\quad ;\quad \boxed{x_0=\frac{-b}{2a} \ \ ;\quad y_0 =ax_0^2+bx_0+c} \\\\x_0=-\frac{-8}{2} =4 \quad ; \ \ y_0 =16-32-9=-25 \\\\\ \ Answer: Coordinates \ \ of \ the \ vertex \ of \ the \ \ parabola \ \ (4;-25)[/tex]

Answer:

Step-by-step explanation:

If the 2 lines are parallel

then x = 70 cos ( alternate interior angle)

but if not sorry man I just in grade 9 its my best effort

Really sorry. <3

:(

Answer:

152-88 = 64

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

figure it out yourself

Answer:

If U = { a, b, c, d, e, f, g, h} , find the complements of the following sets:(i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = { f, g, h, a}

Answer:

A= { a,b,c,d,e}

B= {d,e,f,g,h,i}

C= {a,e,i,o,u}

AuBuC = {a,b,c,d,e,f,g,h,i,o,u}

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ¯ツ