If mABD = (2x – 7), mDBC = (8x + 16), and
mABC = 159º, find mABD.

Answer:

The perimeter of JKL is 60 units.

Step-by-step explanation:

The two tangents of a circle formed by a vertex outside the circle will always be the same distance, this means that JA = JB = 13, LA = LC = 7, and KB = KC = 10. JL = JA + LA = 20, KL = LC + KC = 17, and JK = JB + KB = 23. So the perimeter of triangle JKL is 20 + 17 + 23 = 60 units.

Answer:

(x + 5)^2 = (5 - 3)^2

Step-by-step explanation:

Given the equation;

x^2 + 10x + 22 = 13

We have;

x^2 + 10x = 13 - 22

x^2 + 10x = -9

Adding half of 10 to both sides and completing the square as usual, we have;

(x + 5)^2 = 5^2 + (-9)

(x + 5)^2 = (5 - 3)^2

Answer:

x= -5/3

Step-by-step explanation:

hope this helps :) have a nice day !!

Answer:

63

Step-by-step explanation:

10 × 3 = 30

3× 11 = 33

30 + 33 = 63

Answer:

78 i believe

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Divide 27 by 100 and you will see it equals 0.27

knowing this made me realize that the unknown number must be the fraction form of 0.78

Answer:

huh

Step-by-step explanation:

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance ran by Rebecca be D = 21 miles

The time taken by her to travel 21 miles T = 5 hours

So , the speed of Rebecca S = D / T

On simplifying , we get

S = 21/5

S = 4.2 miles per hour

Therefore , the speed of Rebecca is 4.2 miles / hour

Now , let the time taken be T₂ = 2 hours

So , the distance traveled in 2 hours , D = ST₂

D = 4.2 x 2

D = 8.4 miles

Hence , the distance traveled is 8.4 miles

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Answer: 5 m

Step-by-step explanation:  

Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart.  7 x 5.  So 7 is the height and 5 is the base.  

Check answer:  A = 1/2xbxh

                               A = 1/2 x 7 x 5

                               A =  1/2 x 35

                               A = 17.5 sq m

Answer:

2 x 25 (50)

3 x 25 (75)

Step-by-step explanation:

Answer:

87.92 in

Step-by-step explanation:

The formula for the circumference of a circle is C=2πr.

C = 2(3.14)(14) = 87.92

Answer

0.6

Step-by-step explanation:

here is the working out! Can i get brainliest

Answer:

Look at the image!!

Step-by-step explanation:

Hope this helps!!

Sorry for the bad righting XD

If you want to learn more search Mathisfun.com!!

Answer:

9.5 14.5 and 4.5

Step-by-step explanation:

That’s correct

Step-by-step explanation:

Answer:623

Step-by-step explanation:

Answer:

128.2

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:

[tex]\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2[/tex]

Answer:

Vertical compression

Step-by-step explanation:

g(x)=0.25f(x), if you substitute for f(x) you get B

Answer:

49

Step-by-step explanation:

7^2=49

Answer:

y=3/4x-4

Step-by-step explanation:

The form is y=mx+b so isolate y

-4y=16-3x

y=-16/4-3x/-4

y=3/4x-4

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope intercept form: y = mx + b

3x - 4y= 16

-4y = 16 - 3x

4y = -16 + 3x

y = -4 + 3/4x

y = 3/4x - 4

Answer:3p=42 (p=14)

Step-by-step explanation:

Since there are 3 cookies in each pack you would need to divide.

Answer:

awit wala akong maintindihan. srna agad

Answer:

From left column to right

Left                             Right

1. 23a+18                         1. 7a-6

2. 23a-6                           2. 7a-18

3.  23a-18                             3. 7a+6

4. 0a+4                               4. 0a+0

Step-by-step explanation:

The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3

Answer is 15a+6+8a+12=

23a+18

Hope this helped :)

Answer:

[tex]-\frac{3}{2}[/tex]

Answer:

1200:800

Step-by-step explanation:

1200÷3=400

400×2=800

800 laptops

Answer:

800 Laptops

Step-by-step explanation:

3:2 = 1200:x

I first divide 1200 with 3 because that is the ratio of the students. WE can see that 1200/400 equals 3. So if I multiply 2 times 400, then we get 800 Laptops.

Step-by-step explanation:

From the original question, we can rewrite this as:

An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. The total selling price for one new row is f(r) = 4,000r. Each row in first class eliminates a pair of rows of economy seats. The total price for each pair of removed rows is e(r) = 1,800r. Which is d(r), the profit or loss for adding r rows of first class seats?

f(r) = 4000r

e(r) = 1800r

d(r) = ? (profit or loss)

Assuming we had added a row of first class seats,

+ f(r) = 4000r

But we had to remove a pair or rows from the economy seats,

- e(r) = 1800r

Translating these into one equation:

d(r) = f(r) - e(r) = 4000r - 1800r = 2200r

Therefore, OPTION A.) d(r) = 2200r

The value of d(r) will be 2200r. The correct option is A.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Assuming we had added a row of first-class seats,

+ f(r) = 4000r

But we had to remove a pair or rows from the economy seats,

- e(r) = 1800r

Translating these into one equation:

d(r) = f(r) - e(r) = 4000r - 1800r = 2200r

Therefore, the value of d(r) will be 2200r. The correct option is A.

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Answer:

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

Step-by-step explanation:

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

Answer:42

Step-by-step explanation:

16+16+10

Answer:

x = 3

y = 60°

Step-by-step explanation:

The given parameters of the figures are;

The sum of the interior angles of each polygon (quadrilaterals) = 360°

Quadrilateral ABCD = Quadrilateral HGEF

∴ ABCD ≅ HGEF

Therefore;

Segment AB ≅ Segment HG, by Corresponding Sides of congruent polygons are congruent

∴ The length of segment AB = 3 ft. = The length of segment HG = x ft.

∴ 3 ft. = x ft.

x = 3

Similarly, we have;

∠A + ∠B + ∠C + ∠D = 360° Given

∠B = 100°, and ∠D = 70° Given

∴ ∠A + ∠C = 360° - (∠B + ∠D) = 360° - (100° + 70°) = 190°

∠A + ∠C = 190°

∠A ≅ ∠G and ∠C ≅ ∠E Corresponding angles of congruent polygons are congruent

∴ ∠A = ∠G and ∠C = ∠E By definition of congruency

∴ ∠A + ∠C = ∠G + ∠E = 190° by transitive property

∠G = (2·y + 2)°, and ∠E = (y + 8)° Given

∴ ∠G + ∠E = (2·y + 2)° + (y + 8)° = (3·y + 10)° = 190°

3·y = 190° - 10° = 180°

y = 180°/3 = 60°

y = 60°

The value of x and y are 3 feet and 72 degrees respectively

From the given quadrilaterals, the sum of adjacent angles is 180 degrees.

Hence from figure;

y + 8 + 100 = 180

y + 108 = 180

y = 180 - 108

y = 72degrees

Similarly;

m<D = mG = 70 degrees.

AB = GH = 3 feet

Hence the value of x and y are 3 feet and 72 degrees respectively

Learn more on Angle in a quadrilateral here: https://brainly.com/question/10975107

Answer:

21.7

Step-by-step explanation:

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

21.7

Step-by-step explanation:  

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

I think:

21) 3.021, 3.120, 3.121, 3.21

22) 1.03, 1.3, 1.09, 1.39

23) 0.0089, 0.012, 0.0189, 0.09

24) 4.0011, 4.01, 4.011, 4.101

25) 5.0090, 5.05, 5.059, 5.5

Answer:

21. 3.021, 3.12, 3.121, 3.21

22. 1.03, 1.3, 1.309, 1.39

23. 0.0089, 0.012, 0.0189, 0.09