C
A hexagon ABCDEF is shown.
115°
D
B
145°
Angle CDE is twice the size of angle DEF.
E
Work out the size of angle CDE.
You must show all your working.
160°
F
Total marks: 5

Answer:

2(-4)

Immediately, we can narrow it down to the first and last answer choices, since the product is negative. Since there are 4 arrows going left on the number line, the answer to this problem is 2(-4).  

Answer: 7

Step-by-step explanation:

Answer:

7 mm

Step-by-step explanation:

A square has 4 equal sides, so the piece of confetti will have 4 sides of the exact same length.

Find the length of each side by dividing the perimeter by 4

28/4

= 7

So, each side of the confetti piece is 7 mm

Answer:

There's no figure, but okay! The type of correlation that exists between the temperature and the number of fruit bars sold is a positive correlation.

The real-world meaning of the slope of the line of best fit for the given scenario is that: As the temperature increases, so too does the number of fruit bars sold.

I hope that helps you!! ^-^

Answer:

What type of correlation exists between the temperature and the number of fruit bars sold?

✔ positive

What is the real-world meaning of the slope of the line of best fit for the given scenario?

There are approximately ✔ 2.2 more fruit bars sold for every ✔ 1 degree(s) the temperature rises.

Step-by-step explanation:

got it right in edg 2021, hope this is of help :)

Answer:

The tangent segments whose endpoints are the points of tangency and the fixed point outside the circle are equal. In other words, tangent segments drawn to the same circle from the same point (there are two for every circle) are equal.

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Order of operations are..

Parentheses ()

Exponents 10^2

Multiply *

Division /

Addition +

Subtraction -

8+10-2/2

first you would do -2/2=-1

then your problem is 8+10-1

8+10=18-1=17

Answer:

284

Step-by-step explanation:

Answer:

40 cm

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lb ( l is the length and b the breadth )

Here b = 20 and A = 800 , then

l × 20 = 800 ( divide both sides by 20 )

l = 40 cm

Answer:

6(3+8)

Step-by-step explanation:

6(3+8)= 6×3+6×8=18+48

this is the given value of A

The correct expressions for total area = 6x3 + 6x8 or 6(3+8)

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

In the given figure,

Area of one room = 18 square feet

Area of second room = 48 square feet

Now since we can see that,

the width of both rooms is same,

therefore,

we have 6 as common factor of 18 and 48

As, 18 = 6x3

      48 = 6x8

Total are of the given figure = 18 + 48

Since we know that,

Area of rectangle = length x width

Therefore,

area of both rooms  = 18 + 48

                                 = 6x3 + 6x8

                                 = 6(3+8)

Hence,

The rooms total area of both rooms = 6x3 + 6x8 or 6(3+8)

Learn more about the rectangle visit:

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Answer:

g(x) = 2e - 5

Step-by-step explanation:

f(x) = e

2 f(x) = 2e : vertical stretch by a factor 2

2 f(x) - 5 : transition 5 units down

g(x) = 2 f(x) - 5 = 2e - 5

Answer:

67.5 feet

Step-by-step explanation:

If 1 inch = 9 feet, and the model is 7.5 inches,

you just need to do 7.5 • 9 = 67.5 feet.

OR

7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5

63 + 4.5 = 67.5

*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet

Answer:

$8,640

Step-by-step explanation:

I = Prt

I = (48000)(0.03)(6)

I = 8640

Answer: By the 8th week.

Step-by-step explanation:

Let the time that matteo and luca have the same amount of money be represented by x.

The information given in the question can be formed into an equation as:

400 - 10x = 200 + 15x

Collect like terms

400 - 200 = 15x + 10x

200 = 25x

x = 200/25

x = 8

Matteo and Luca will have the same amount of money by the 8th week.

4x + 8y = -40

if x = -6

4(-6) + 8y = -40

-24 + 8y = -40

8y = -40 + 24

8y = - 16

y = -16/8

y = -2

Answer:

Step-by-step explanation:

To find value of y

4x + 8y = -40

x = -6

=> 4x + 8y = -40

[By putting the value of x = -6 then ]

=> 4×(-6) + 8y = -40

=> -24 + 8y = -40

=> 8y = -40 + 24

=> 8y = -16

[tex] = > y = \frac{ - 16}{8} [/tex]

=> y = -2

Hence, required value of y is -2 (Ans)

Answer:

understandable

Step-by-step explanation:

Answer:

Step-by-step explanation:

A B

definition of a parallelogram a quadrilateral with both pairs of opposite sides parallel

five properties/theorems for parallelograms opposite sides are parallel, diagonals bisect each other, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary

definition of a rectangle a quadrilateral with four right angles

rectangle theorems if a parallelogram is a rectangle, then its diagonals are congruent; if the diagonals of a parallelogram are congruent, then the paralellogram is a rectangle

five properties of a rectangle opposite sides are congruent and parallel; opposite angles are congruent; consecutive angles are supplementary; diagonals are congruent and bisect each other; all four angles are right angles

definition of a rhombus a quadrilateral with four congruent sides

rhombus theroems the diagonals of a rhombus are perpendicular; if the diagonals of a parallelogram are perpendicular, then the paralellogram is a rhombus; each diagonal of a rhombus bisects a pair of opposite angles

properties of a rhombus all parallelogram properties apply; all four sides are congruent; diagonals are perpendicular; the diagonals bisect opposite angles

definition of a square a quadrilateral with four right angles and four congruent sides

properties of a square the properties of a rectangle plus the properties of a rhombus; four right angles; all four sides are congruent

definition of a trapezoid a quadrilateral with exactly one pair of parallel sides

definition of an isosceles trapezoid a trapezoid with the legs congruent

isosceles trapezoid theroems both pairs of base angles are congruent; the diagonals are congruent

trapezoid median theorem the median of a trapezoid is parallel to the bases and its measure is one-half the sum of the measures of the bases, or median=1/2(x+y)

in these quadrilaterals, the diagonals bisect each other paralellogram, rectangle, rhombus, square

in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid

in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square

in these quadrilaterals, the diagonals are perpendicular rhombus, square

a rhombus is always a... parallelogram

a square is always a... parallelogram, rhombus, and rectangle

a rectangle is always a... parallelogram

a square is never a... trapezoid, because trapezoids only have one pair of parallel sides

a trapezoid is never a... parallelogram, rhombus, rectangle, or square, because trapezoids only have one pair of parallel sides

these quadrilaterals always have all four congruent sides rhombus, square

these quadrilaterals always have all four right angles rectangle, square

these quadrilaterals always have perpendicular diagonals rhombus, square

if you divide a square into four right triangles by drawing its two diagonals, the measure of each of the angles in the triangles that is not a right angle is... 45 degrees

the diagonals of a rhombus... are not always congruent, but they are always perpendicular and they do always bisect each other, and they do always bisect the pairs of opposite angles

the diagonals of a rectangle... are not always perpendicular, but they are always congruent and they always bisect each other

the diagonals of a parallelogram... always bisect each other

Answer:

squares, rectangles, trapeziods (only if isoceles)

Step-by-step explanation:

Squares are rectangles and rectangles always will have diagonals that are congruent. Trapezoids, if isoceles, will have congruent diagonals.

Answer:

44

Step-by-step explanation:

because i just did the test

The length of the segment in the given figure is 44 units.

Consider triangle STR and ΔQTR.

We have to find the length of QV.

∠TRQ = ∠TRS = 90°

TR = TR (Common)

SR = RQ (Given)

So, ΔTSR ≅ ΔTQR ( By SAS Congruence Criterion)

So, By CPCT (Correspondence part of congruent triangle)

TS = TQ

2x+8=40

2x=32

Divide both sides by 2

x=16

Now segment QV=3x-4

3(16)-4

48-4=44 units

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Answer:

its 5 just move 2 to the other side multipling 5=x

Step-by-step explanation:

Answer:

[tex]5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3} [/tex]

Answer:153.86

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the missing side of the rectangle, use Pythagorean:

Find area of rectangle:

Correct choice is A

Answer:

Yes this is multiplication

Answer is: 105km

Step-by-step explanation:

multiply 3.75 by 28 to find the total number he ran

3.75•28= 105km

hope this helps chu <3

Answer:

Answers are all in pictures.

Answer:

The answer ,

if x = 15

x +1 > 8

16 > 8

if x = 9

x +1> 9

The answer is 15 and 9

Answer:

4[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Divide 39 by 9 to get 4[tex]\frac{1}{3}[/tex]

39÷9=4[tex]\frac{1}{3}[/tex]

Answer:

3x+14

Step-by-step explanation:

4(8)+3(x-6)

=32+3x-18

=3x+14

Answer: 12 ounces

Step-by-step explanation:

Let the ounces of fruits that should be added be represented by x.

Based on the information given in the question, this can be represented by:

3/2 = 18/x

Cross multiply

3 × x = 18 × 2

3x = 36

x = 36/3

x = 12

Therefore, 12 ounces of nuts should be added.

Answer:

45°

Step-by-step explanation:

90 + 2(45) = 180

90 + 2(25) ≠ 180

90 + 2(80) ≠ 180

90 + 2(90) ≠ 180