Work out the size of angle x.
33°
20°
165°

Answer:

33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°

34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°

35. m∠1 = 90°, m∠2 = 25°

Step-by-step explanation:

33. The given parameters of the isosceles trapezoid are;

The measure of one of the base angles = 45°

For an isosceles trapezoid, the base angles are equal, therefore, we have;

The measure of the other base angle = m∠3 = 45°

Similarly, m∠1 = m∠2

Also, we have;

The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°

∴ 45° + m∠3 + m∠1 + m∠2 = 360°

By substituting the known values, we have;

45° + 45° + m∠1 + m∠2 = 360°

From m∠1 = m∠2, we have;

45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°

2·m∠1 = 360° - 90° = 270°

∴ m∠1 = 270°/2 = 135°

m∠1 = 135° = m∠2

Therefore, we have;

∠3 = 45°, ∠1 = 135°, ∠2 = 135°

34. The measure of the base angles = 80°

∴ The measure of the other base angle = m∠1 = 80°

m∠2 = m∠3

80° + m∠1 + m∠2 + m∠3 = 360°

∴ 80° + 80° + 2·m∠2 = 360°

m∠2 = (360° - (80° + 80°))/2 = 100°

m∠2 = 100° = m∠3

35. The kite comprises of two half isosceles triangles

The base angles of the right half isosceles triangle = 65°

The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)

Therefore, m∠1 = 90°

The diagonals bisect the angles at the vertices (Kite theorem)

Therefore, we have;

65° + 90° + m∠2 = 180°

m∠2 = 180° - (65° + 90°) = 25°

m∠2 = 25°.

Answer:

4x2.25=9

Step-by-step explanation:

please mark brainliest

Answer:

2/16

simplest form:1/8

Step-by-step explanation:

2/16

simplest form:1/8

There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator

2/16

Then simplify by dividing 2/2

1/8

Answer:

9x

Step-by-step explanation:

hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx

Answer:

9x or 15x

Step-by-step explanation:

-3x + 12x = 9x

-3 + 12 = 9,

or if you just straight out add

-3x + 12x = 15x

Answer:

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

Step-by-step explanation:

Given

Shape: Triangle

Dimension: 3x + 2, x^2 and 2x

[tex]x = 4[/tex]

Required

Determine if it has equal sides

To do this, we simply substitute 4 for x in the given dimensions

3x + 2

[tex]3x + 2 = 3 * 4 + 2[/tex]

[tex]3x + 2 = 12 + 2[/tex]

[tex]3x + 2 = 14[/tex]

x^2

[tex]x^2 = 4^2[/tex]

[tex]x^2 = 16[/tex]

2x

[tex]2x = 2 * 4[/tex]

[tex]2x = 8[/tex]

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

Answer:

20

Step-by-step explanation:

isisisisisisisisisisid

Answer:

-62

Step-by-step explanation:

-42-[(-30)]+[(-50)]

-42-[-30]+[-50]

-42+30-50

-60

Hope this helps!

Step-by-step explanation:

i try my best plz check it

Answer:24

Step-by-step explanation:

lol

Answer:

2/7 is correct answer

oky na

[tex] \Large \underline{\tt Given} :[/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt To \: Find} :[/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt Solution} :[/tex]

[tex] \\ [/tex]

As, we have :

Students present on Monday = [tex] \tt \dfrac{5}{7} of 35[/tex]

[tex] \\ [/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{7} \times 35[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{\cancel{7}} \times \cancel{35}[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 5 \times 5[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 25[/tex]

[tex] \\ [/tex]

Now, we have to find students not present on Monday :

As, we have :

[tex] \\ [/tex]

Therefore,

Students absent on Monday = 35 - 25 = 10

[tex] \\ [/tex]

Hence, 10 students were not present on Monday.

eighteen is equal to the product of a number 9 and 9

Answer:

[tex]15m^{3} +9m-8[/tex]

Step-by-step explanation:

Answer:

p(m) = 15m3 + 0m2 + 8m - 8

Step-by-step explanation:

Answer:

y=-10x+70 is the answer

Answer:

y= -10x +70

Find two points, and with the two points, calculate the slope.

Answer:

£72

Step-by-step explanation:

100% - 40 = 60%

60/100 = 0.6

0.6 * £120 = £72

40/100 = 0.4

0.4 *  £120 = £48

To check:

£72 + £48 =   £120

Hope that helps!

Answer:

12$

Step-by-step explanation:

Money =  32$

Fraction he saved = 3/8

Amount he saves = 3/8 x 32 = 12 $

\

\

I hope  im right!!

Answer:

Output value = 20

Step-by-step explanation:

Graph of any function is made up of two values → Values on x axis and Values along y axis.

x values represent the input values and y values represents the output values.

For every x value there is a y value because of which the data set is called to a function.

In other words, a function can't have two output values for a single input value.

If the input value of function is = 10

Then for x = 10, out value (along y axis) will be = 20

Therefore, Output value of the given function is 20.

Answer:

y=-1x+8

Step-by-step explanation:

use slope formula y2-y1/x2-x1 to find the slope

10-5/-2-3

simplify

5/-5

simplify

-1

now you have to find the y-intercept using y=mx+b

y=-1x+b

plug either ordered pair in to find b, I am using (3,5)

(5)=-1(3)+b

simplify

5=-3+b

add 3 to both sides

b=8

now plug b into y=-1x+b to find the equation of the line

y=-1x+8

Answer:

hmmm

Step-by-step explanation:

you can go for bts or billie elish

The expression 3(4x + 3) is equivalent to the expression 12x + 9. Then the correct option is E.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 3(4x + 3)

Simplify the expression, then we have

⇒ 3(4x + 3)

⇒ 3 · 4x + 3 · 3

⇒ 12x + 9

The expression 3(4x + 3) is equivalent to the expression 12x + 9. Then the correct option is E.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Step-by-step explanation:

Given sets:

The sets c and e represent a function. The others have repeated x- values.

Possible Answer:

1. I understand that when graphed, a quadratic function has the shape of a parabola.

2. I have a question about the quadratic function when graphed. The lines can point up or down, but why can't the function go left or right?

Step-by-step explanation:

These are just possible answers, everyone else can have different things, especially the second question.

Answer:

A, D, E

Step-by-step explanation:

Substitute the x and y values into the equation. If the result does not equal 24, then that coordinate point is not on the graph of 3x+2y=24.

The y-intercept of function  1 is -5.

The y-intercept of function 2 is -5.

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Consider the function to be in the form of p = mr + c

Where x is the y-intercept.

Function 1.

p = (-3/2)r - 5 _______(1)
y-intercept = -5

Function 2.
Let p = mr + c

Take two pairs from the table.

(0, -5) and (1, -6.5)

m = (-6.5 + 5) / (1 - 0) = -1.5

(0, -5) = (r, p)

-5 = -1.5 x 0 + c

c = -5

Now,

p = -5x - 5 ______(2)

y-intercept = -5

From (1 ) and (2)

Both have the same y-intercept.

Thus,

Function 1 and Function 2 have the same y-intercept.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

20ft

Step-by-step explanation:

Use ratios:

[tex]\frac{5}{8} = \frac{x}{32}[/tex]

Solve for x

x = 20

Answer:

x = 20

Step-by-step explanation:

Let’s think about it this way ( i’m gonna make this as easy as possible! )

So, x is the variable, which it represents the height of the tree right? so you’re gonna want to take the shadow of the alien, and think “well can 8 make 32? and if so how many times?” which would be 8y = 32. and yes you can. so let’s think about that. how many times does it take for 8 to get to 32?

8, 16, 24, 32

so it takes 4 times. then you think “ well if 8x4 got the shadow length, 5x4 must get the tree height” which is correct.

you’ll take 5 x 4 which is 20, and you will put that down as the heigh of the tree, or think 20ft.

so x = 20.

Answer: 26

Step-by-step explanation: well I don't know  the unit but miles is distance so we have to divide 780/30 which is 26 as my calculator  says so the answer is 26 and if you think am wrong sorry you can just divide 780/30 and see the answer.