Find the area of the trapezoid.

A. 15 cm2
B.18 cm2
C.21 cm2
D. 35 cm2

Answer:

CEFA

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of the 4 sides. A rectangle has two lengths of equal size and two width of equal size. To find the perimeter, add the length and width and multiply by 2.

1. perimeter = 2(3x + 2 + 2x) = 2(5x + 2) = 10x + 4

2. perimeter = 2(4x + 1 + x) = 2(5x + 1) = 10x + 2

3. perimeter = 2(x + 5 + 7) = 2(x + 12) = 2x + 24

4. perimeter = 2(4x - 3 + 5) = 2(4x + 2) = 8x + 4

Codes:

1. C

2. E

3. F

4. A

Answer:

Please see below :)

Step-by-step explanation:

Angle 2 is congruent to angle 3 by definition of angle bisector.

Angle 1 is congruent to angle 3 by the transitive property of congruence.

Please let me know if something's wrong!

The missing values are:

<2 = 1/2 ∠BDE by Angle Bisector Theorem.

<3 = 1/2 ∠BDE by the transitive property

It is given that ABCD is a parallelogram, so AB || DC by the definition of parallelogram.

So, <1 and <2 are corresponding angles.

Therefore, <1 ≅ <2 by the Corresponding Angles Theorem.

It is also given that DC bisects ∠BDE,

So <2 is half the measure of ∠BDE by the Angle Bisector Theorem. Therefore, <2 = 1/2 ∠BDE.

Therefore, <3 is also half the measure of ∠BDE by the Transitive Property. Thus, <3 = 1/2 ∠BDE.

Therefore, <1 ≅ <3 by the transitive property of congruence.

Learn more about Angle Bisector here:

https://brainly.com/question/28565813

#SPJ7

Answer:

[tex]x=2\sqrt5[/tex]

Step-by-step explanation:

I'm assuming that 15 is the length of only part of the hypotenuse of the larger triangle.

The remaining part can be easily found by noticing that the red triangle is half an equilateral triangle of side x, so the missing part is x/2.

Now for a known theorem (easily proved with the fact that triangles AHC and ABC are similar) you can write the following equation containing x:

[tex]x^2 = \frac x2 ( \frac x2 +15) \rightarrowx^2 = \frac {x^2}4+15 \\\\3x^2=60 \rightarrow x^2 = 20 \\x=2\sqrt5[/tex]

(where we obviously took only the positive root since x is a lengtth measure.

Answer:

  A.  4 square units

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

Your triangle has a base of 4 units and a height of 2 units. Its area is ...

  A = 1/2(4)(2) = 4 . . . . square units

__

The triangle dimensions are easily found from your diagram by counting grid squares. If you like, you can subtract the x-coordinates of the points on the horizontal line y=1 to find the base length: 2 -(-2) = 4. And you can subtract the y-coordinates of the points on the vertical line x=-2 to find the height: 3 -1 = 2.

Answer:

[tex]2. - 2 \\ - 3.0 \\ - 7. - 7[/tex]

Answer:

$100.25

Step-by-step explanation:

To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make [tex]T[/tex] for total, [tex]c[/tex] for the amount of copper, [tex]a[/tex] for the amount of aluminum, and [tex]p[/tex] for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: [tex]T=1.48c+1.55a +.30p[/tex]

Now that we have an equation written out, we can plug in the amount of each material to get [tex]T=1.48(50)+1.55(15)+.30(10)[/tex]. We can then simplify this by following PEDMAS and multiplying to get [tex]T=74+23.25+3[/tex] and then all we have left is to add to get [tex]T=100.25[/tex]

Step-by-step explanation:

following properties have been used in constructing the kite

1. diagonals at right angles

2. one of the diagonals bisect

3. pairs of consecutive sides are equal

Answer: mx+b=y

Step-by-step explanation:

Rise over run

Answer:

4x-6y-12=0 than it passes through the origin so.distance equals /ax+by+c/all over a^2+ b^2= 4(0)+6(0)-12/4^2+6^2= -12/16+36=12/52=0.23077

Answer:

ok so we know that all lights are either red, yellow or blue so first lets add up the red and yellow

26+37=63

ok so that means that 63 out of the 95 are red or yellow now lets see whats left for blue

95-63=32

32 blue

Hope This Helps!!!

Answer:

32

Step-by-step explanation:

95-26-37=32

use subtraction

Answer:

Step-by-step explanation:

Answer:

the answers in the photo

Step-by-step explanation:

Answer:

the answer is (v+8)3

(my answer needs to be longer so I'm writing this)

Answer:

20 inches

Step-by-step explanation:

Since there are 480 miles in total, we have to divide it by 12 so we can see how many half inches that would be.

480÷12 = 40

That would mean you can fit forty 12's in 480. Since 12 miles equals 1/2, you would multiply it by 40.

1/2 × 40 =20

This means that the distance between the cities on the map would be 20 inches.

Answer:step 3

Step-by-step explanation:

Answer:

Step 3.

Step-by-step explanation:

She subtracted the 5 from 10.2b even though 5 did not have the variable b.

Answer:

Present Value = $413.99

Interest rate = 4.25%

Years = 8.5 years

Future value = P(1+I)^n

Future value = $413.99*(1+0.425)^8.5

Future value = $413.99*(1.0425)^8.5

Future value = $413.99*1.4244478

Future value = $589.707144722

Future value = $589.71

The total amount to be earned as a result of the investment for 8.5 years is $589.71.

Answer:

3(x - 3y) + 6y - 8x

Perform the distributive property;

3x - 9y + 6y - 8x ← Expanded form

Group like terms:

(3x - 8x) (-9y + 6y)

-5x - 3y ← Simplified form

Answer:

I believe it is -5x - 3y

Answer:

b

Step-by-step explanation:

because u will subtract 0.5 from 8 nine times

8-0.5= 7.5

7.5-0.5=7.0

7.0-0.5= 6.5

6.5-0.5=6.0

6.0-0.5=5.5

5.5-0.5=5.0

5.0-0.5=4.5

4.5-0.5=4.0

4.0-0.5=3.5

Answer:

30ft

Step-by-step explanation:

i think by common sense as an high schooler

8 times 5 equals 40ft and 6 times 5 equals 30 ft

Answer:

over 18716271717161626cm

To solve this question, we have to:

Doing this, we get that: 6 different such triangles can be made.

Isosceles triangle:

In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.

Perimeter:  

The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.

Constraint:

The sum of the lengths of the two smaller sides of a triangle has to be greater than the length of the greater side.

This triangle:

Thus, the perimeter is:

[tex]P = 2x + y = 28[/tex]

Now, for the values of x, we find if the values of y generate a triangle, respecting the constraint.

x = 1

[tex]2 + y = 28 \rigtharrow y = 26[/tex]

1 + 1 < 26, thus, the constraint is not respected.

x = 2

[tex]4 + y = 28 \rightarrow y = 24[/tex]

2 + 2 < 24, thus, the constraint is not respected.

x = 3

[tex]6 + y = 28 \rightarrow y = 22[/tex]

3 + 3 < 22, thus, the constraint is not respected.

x = 4

[tex]8 + y = 28 \rightarrow y = 20[/tex]

4 + 4 < 20, thus, the constraint is not respected.

x = 5

[tex]10 + y = 28 \rightarrow y = 18[/tex]

5 + 5 < 18, thus, the constraint is not respected.

x = 6

[tex]12 + y = 28 \rightarrow y = 16[/tex]

6 + 6 < 16, thus, the constraint is not respected.

x = 7

[tex]14 + y = 28 \rightarrow y = 14[/tex]

7 + 7 = 14, thus, the constraint is not respected.

x = 8

[tex]16 + y = 28 \rightarrow y = 12[/tex]

8 + 8 > 12, thus, the constraint is respected, and this is the first possible triangle.

x = 9

[tex]18 + y = 28 \rightarrow y = 10[/tex]

9 + 9 > 10, thus, the constraint is respected, and this is the second possible triangle.

x = 10

[tex]20 + y = 28 \rightarrow y = 8[/tex]

8 + 10 > 10, the constraint is respected, and this is the third possible triangle.

x = 11

[tex]22 + y = 28 \rightarrow y = 6[/tex]

11 + 6 > 11, the constraint is respected, and this is the fourth possible triangle.

x = 12

[tex]24 + y = 28 \rightarrow y = 4[/tex]

4 + 12 > 12, the constraint is respected, and this is the fifth possible triangle.

x = 13

[tex]26 + y = 28 \rightarrow y = 2[/tex]

13 + 2 > 13, the constraint is respected, and this is the sixth possible triangle.

x = 14

[tex]28 + y = 28 \rightarrow y = 0[/tex]

Cannot have a triangle with a side of 0, so this is not possible.

After the tests, we have that 6 different such triangles can be made.

A similar question is given at https://brainly.com/question/6139098

B. 14.084 < 14.102

< means :  less than - smaller than

Answer:

Step-by-step explanation:

Cost of toy =100

Selling price = 90

Loss = 100

Loss in percentage = 10/90*100

Loss in %= 11.11

Answer:

£2314.20

Step-by-step explanation:

Simple interest formula:  A = P(1 + rt)

where:

Given:

⇒ A = 2100(1 + 0.051 · 2)

⇒ A = 2100(1.102)

⇒ A = £2314.20

Answer:

Step-by-step explanation:

hope this help

Answer:

y-intercept is 6, the slope is 2/3

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer:

Word problem is the operation

Answer:

$396

Step-by-step explanation:

Rate of pay per hour = $8.25
Regular hours worked = 48
Overtime hours worked = 8
Total hours worked = 40 + 8
                                 = 48

∴ Money earned in a day = 48 × $8.25
                                          = $396

Hope this helps!

x+1/2x+2/3x+4=30, which has one solution

[tex]3 = 0.2m - 7[/tex]

[tex]3 + 7 = 0.2m[/tex]

[tex]10 = 0.2m[/tex]

[tex] \frac{10}{0.2} = m[/tex]

plug it on your calculator or multiply 10 by 5

[tex]m = 50[/tex]