One of the corners of a rectangle is shown.
A diagonal splits the corner into two angles.
20
Х.
Diagram not
drawn to scale
Work out the size of angle x.

Answer:

B

Step-by-step explanation:

The face of the prism is the right triangle closest to us.

The area of the right triangle is 15 * 8 = 120 / 2 = 60 The general formula for a triangle's area is 1/2 * B * h.

B = 8

h = 15

The volume in general is B*h.

The height in this case is 10 (the height in this case is perpendicular to the surface containing the right triangle).

Volume = B * h

Volume =60 * 10

Volume = 600

Answer:

x=6

Step-by-step explanation:

3*5-2x=3

15-2x=3

15-3=2x

12=2x

6=x

Answer:

15.

If we look at angle BOD, that would form a right angle (90°), given that one part of that whole angle is 30°, the other would be;

30° + x = 90°

-30        -30

x = 60°, therefore ∠BOC = 60°.

If we take a look at angle EOC, we can see that that angle is a straight angle (180°), we can also see that a right angle (90°) is a part of that angle alongside the angle we just previously found (60°). So all of those angles plus the unknown angle (AOE) which we will consider 'x' summed up would result in 180 degrees.

Now we set up the equation;

90° + 60° + x = 180°

150 + x = 180

-150       -150

x = 30°, therefore ∠AOE = 30°.

16.

The sum of the interior angles in a triangle will always equal 180°. (We can also confirm this using the formula (n - 2) x 180.)

Given two of the angles, we must add them and the unknown angle(D) which we will consider 'x' to make it result in 180°.

Now we set up the equation;

55° + 18° + x = 180°

73 + x = 180

-73         -73

x = 107°, therefore ∠EDF = 107°.

17.

To find angle P, we must first find the supplement of 34° because 34° and the angle beside forms a straight angle (180°).

Set up an equation;

34 + x = 180

-34         -34

x = 146°, now that we've found the supplement, we add this supplement with the other given angle (23°) because all three angles (unknown angle which we will consider x + 23 + 146) will equal 180°(sum of interior angles of triangle).

146° + 23° + x = 180°

169 + x = 180

-169        -169

x = 11°, therefore ∠QPR = 11°.

18.

Seeing that the bigger triangle has a 90° angle (indicated with a square), and two other equal angles(indicated with the two lines on both legs of the big triangle), we solve for those two missing equal angles in the bigger triangle which we will then use to solve for the smaller triangle's angle.

2x + 90° = 180°

-90            -90

2x = 90

/2     /2

x = 45°, so now we know the two angles in the bigger triangle excluding the right angle.

One of those equal angles is vertical to the smaller triangle, and vertical angles are congruent.

Hence, the angle vertical to the bigger triangle in the smaller triangle will be 45°.

Now we solve for ∠CDE.

Add the two angles and the missing angle to equal 180°.

Set up the equation;

86° + 45° + x = 180°

131 + x = 180

-131        -131

x = 49°, so ∠CDE = 49°.

Answer: x is 125

Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.

Answer:

Ivy is correct

Step-by-step explanation:

the perimeter of a parallelogram can be written as P= 2(a+b), where a and b are the lengths of the sides of the parallelogram.
since the parallelogram has been dilated by a scale factor of 0.6, we multiple the original side lengths by 0.6.
12 × 0.6 = 7.2
16 × 0.6 = 9.6
Plug into the equation
P=2(7.2+9.6)
P=2(16.8)

P= 33.6

You can also solve by plugging in the original values and multiplying the answer by 0.6.
P=2(12+16)(0.6)
P=2(28)(0.6)
P=(56)(0.6)

P=33.6

Answer:

1

Step-by-step explanation:

It has 1 lines of symmetry

Hopes this helps

#ViolentJax

Answer:

49/12

Step-by-step explanation:

1 ⅓ can be written as 1 + 1/3

1 ⅓

= 1 + 1/3

LCM = 3

= 3/3 + 1/3

= ( 3 + 1 )/3

= 4/3

2 ¾

= 2 + 3/4

LCM = 4

= 8/4 + 3/4

= ( 8 + 3 )/4

= 11/4

1 ⅓ + 2 ¾

= 4/3 + 11/4

LCM = 3 x 4 = 12

4/3 x 4/4

= ( 4 x 4 )/( 3 x 4 )

= 16/12

11/4

= 11/4 x 3/3

= ( 11 x 3 )/( 4 x 3 )

= 33/12

16/12 + 33/12

= ( 16 + 33 )/12

= 49/12

Answer:

I don’t know if it correct, but when I solved it I got 4 1/12

Step-by-step explanation:

(1+2) (1/3 + 3/4)

3 + 13/12

3 + 1 1/12

3 + 1 + 1/12

4 + 1 /12

4 1/12

Answer:

Step-by-step explanation:

Answer

[tex] \frac{ \times -+7}{×+2} [/tex]

Answer:

C. by a facotor of 3

Step-by-step explanation:

The approximate value of the figure in the graph is [tex]\sqrt{3[/tex]

So if you were to draw a figure that is congruent to the one drawn it would be C. by a factor of 3.

Answer:

6/5 or A. 1 1/5

Step-by-step explanation:

Hey there!

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

6/5 or 1 1/5 or A

Step-by-step explanation:

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

Step-by-step explanation:

Finding the angles of quadrilateral:

Sum of all angles of quadrilateral = 360

2x + 10 + 3x + 3x + 5 + 5x +20 =360

2x + 3x + 3x + 5x + 10 + 5 + 20 = 360

Combine like terms

                    13x + 35 = 360

Subtrace 35 from both sides

                            13x = 360 - 35

                           13x  = 325

Divide both sides by 13

                               x = 325/13

                               x = 25

5x +20 = 5*25 +20

            = 125 +20

             = 145°

Measeure of largest angle : 145°

Answer:

57600 words in 12 hours.

Step-by-step explanation:

80 wpm means 80 words per minute.

We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.

We want to know how much words in 12 hours.

Given:

[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]

[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.

Answer: 57,600

Step-by-step explanation:

80 × 60 = 4800 in 1hr

4800 ×12 = 57, 600 in 12hrs

Answer:

yes

Step-by-step explanation:

Yes it is because it is a whole number and rational

Please mark this as brainliest and I hope this helps you

Answer:

Step-by-step explanation:

3) Opposite sides of a parallelogram are parallel

4) Alternate interior angles theorem

5) Reflexive property

6) ASA

Answer:

yes.

Step-by-step explanation:

If you divide 627 by 3, you get 209 which is a whole number.

Hope this helped! Have a nice day!
Please give Brainliest when you can!

-Jaron

Answer:

technically speaking, yes. but if you don't want any remainders, (or decimals) then no.

Step-by-step explanation:

7 isnt divisable by anything, unless you have remanders or decimals, fractions ext. so yeah.

[tex]-3(2x+2) < 10\\\\\implies -6x -6 < 10\\\\\implies -6x < 10 +6\\\\\implies -6x < 16 \\\\\implies x > -\dfrac{16}6\\\\\implies x > -\dfrac{8}3[/tex]

Answer:

x = 19

Step-by-step explanation:

See attched image.

Answer:

0.55

Step-by-step explanation:

I think you would just divide the numbers

Answer:

D.

Step-by-step explanation:

It will move but stay the same size. You are translating the shape to a different spot, not adding onto its size.

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I hope this helps!

-No one

area triangle:

b×h/2

= 11 in×10 in/2

=55 in²

area half-circle:

pi×r² /2

= 3.14×5in² /2

=78.5in² /2

=39.25 in²

Total area: area triangle+ area half-circle

= 55 in²+39.25 in²

=94.25 in²

Answer:

x^2 - 5x - 66

Step-by-step explanation:

1. Distrubute the x to the x and -11 so you will get x^2 - 11x

2. Distrubute the 6 to x and -11 and you get 6x - 66

3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66

Answer:

x=27

Step-by-step explanation:

the attached photo might help you

Answer:

1.25a-4.4

Step-by-step explanation:

you take :1.5a+0.25a-0.5a=1.25

then:4.7+0.3=4.4

1.25a-4.4

but am not sure sorry

Answer:

Step-by-step explanation:

Collect like terms and simplify

Answer:

Slope m= -12/5

Step-by-step explanation:

Slope Solution

m=riserun=ΔyΔx

m=y2−y1x2−x1

m=−9−37−2

m=−125

m=−125

In decimals:

m = -2.4

Point Slope Form

y−y1=m(x−x1)

y−3=−125(x−2)

In decimals:

y−3=−2.4(x−2)

Slope Intercept Form

Find the Equation of the Line:

y=mx+b

by solving for y using the Point Slope Equation.

y−y1=m(x−x1)

y−3=−125(x−2)

y−3=−125x−(−125×2)

y−3=−125x−−245

y−3=−125x+245

y=−125x+245+3

y=−125x+395

m=−125

b=395

In decimals:

y=−2.4x+7.8

Standard Form of a Linear Equation

Ax+By=C

Starting with y = mx + b

y=−125x+395

Multiply through by the common denominator, 5, to eliminate the fractions:

5y=−12x+39

Then rearrange to the Standard Form Equation:

12x+5y=39

A=12

B=5

C=39

y-Intercept, when x = 0

y=mx+b

y=−125x+395

When x = 0

y=−125×0+395

y=395

y-intercept=395

(x,y)=(0,395)

In decimals:

(x,y)=(0,7.8)

x-Intercept, when y = 0

y=mx+b

y=−125x+395

When y = 0

0=−125x+395

125x=395

x=395×512

x=3912

x=134

x-intercept=134

(x,y)=(134,0)

In decimals:

(x,y)=(3.25,0)

Answer:

Below in bold.

Step-by-step explanation:

y^2 - 3y - 40

To factor this we need 2 numbers whose product is -40 and whose sum is -3.  These are -8 and +5. so the factors are:

(y - 8)(y + 5).

3x^2 + 10x + 3

To factor this we need 2 numbers whose product is (3*3) = +9 and whose sum is +10.  These are +9 and +1 so we write:

3x^2 + 9x + x + 3  

Factor by grouping:

= 3x(x + 3) + 1(x + 3)

= (3x + 1)(x + 3).

Answer:

74⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰

Answer: 40.45 or B

Step-by-step explanation:

63 x 0.6(100%-40%) = 37.8

37.8 x 1.07 = 40.446

40.446 rounded is

40.45

Answer:

[tex]\frac{1}{784}[/tex]

Step-by-step explanation:

4⁻² * 7⁻²

Use the Negative Exponent Property: x⁻ⁿ = [tex]\frac{1}{x^n}[/tex]

[tex]4^{-2}*7^{-2}\\\\ \frac{1}{4^2}*\frac{1}{7^2}\\\\ \frac{1}{16}*\frac{1}{49}\\\\ \frac{1}{784}[/tex]

Hope this helps!