What is the sum of the interior angles of this pentagon? MULTIPLE CHOICE EASY

Answer:

AB = 15

BD = 5

Step-by-step explanation:

Statement__________________|          Reason______________

1) m<1 = m<2, AB = AC                    |   Given

2) AD = AD                                      | Reflexive property

3) ΔABD = ΔADC                           | Side - angle - side

4) AB = AC =  15                               | Corresponding part of congruent triangles     .                                                     |  are congruent

5) BD = DC = 5                              | Corresponding parts of congruent triangles   .                                                    |    are congruent

Answer:

Step-by-step explanation:

AB = AC and AC = 15 (both given)

AB≅AC, ∠1≅∠2, AD≅AD (first two given and the last one is the common side)

BD≅DC as corresponding sides

BD = DC and DC = 15

Answer:

404

Step-by-step explanation:

2% of 10000 = 200 in the first year, setting your account to 10200

2% of 10200 = 204 in the second year, setting your account to 10404

In the total of 2 years, you received 404 extra

Answer:

Deposite amount (P) = 10000

Interest ( R)    = 2%

Years (T) = 2

Formula

S.I =PRT÷100

S.I =10000×2×2÷100

S.I =40000÷100

S.I =400

You have received interest after 2 years =400

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of an object.

Given the vertex matrix of quadrilateral ABCD as:

[tex]\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right][/tex]

Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).

Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.

Hence, the vertex matrix of quadrilateral A'B'C'D' is:

[tex]3\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]=\left[\begin{array}{cccc}-3&15&15&-20\\6&15&9&-3\end{array}\right][/tex]

Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).

The correct option is figure A

Answer:

C. 4

Step-by-step explanation:

Rewrite the equation in terms of y = mx + b

f(x) = -5x + 4

Answer:

Aa 1

Step-by-step explanation:

Answer:

i) 8%

ii) 16,872.96

Step-by-step explanation:

A) Since she borrowed 15000 and at the end of six months it amounted to 15600. What it means is that;

Interest; i = 15600 - 15000 = 600

Now,formula for rate of interest is;

R = (100i)/(Pt)

Where;

i = 600

P is amount borrowed = 15000

t is time period compounded. Since it's compounded semi annually, then t = ½

Thus, from PRT/100 = i, we can find R as;

R = (100 × 600)/(15000 × (6/12))%

R = 8%

B) After 12 months, which is another semi annual period after 6 months, the Interest will now be;

15600 × 8% × (6/12) = 624

Thus, amount due at this point is 15600 + 624 = 16224

After 18 months which is another semi annual period after 12 months, the Interest will now be;

16224 × 8% × (6/12) = 648.96

Thus, amount due at this point is 16224 + 648.96 = 16,872.96

Answer:

40

Step-by-step explanation:

n/10+5=9

n/10=9-5

n/10=4

n=4*10

n=40

Answer:

a) £105 300

b) £132 300

Step-by-step explanation:

a) 2700*39=105 300

b) 2700*49=132 300

Answer:

19 pens, 7 pencils, 3 erasers

Step-by-step explanation:

Huxian needs to pack 171 pens

63 pencils

27 erasers

Hence the items can be divided in 9 bags

171/9

= 19

63/9

= 7

27/9

= 3

They can be packed in each bags as follows

19 pens

7 pencils

3 erasers

Answer: you can buy 6 of them because 39.78 divided by 6.63 equals 6.

Step-by-step explanation:

Answer:

6 packs of batteries

hope it helps

Answer:

The mistake made is the line of Best Fit is not drawn through any points on the graph. A way to avoid the mistake is to think "Okay, where are most of the points located?" Then find that area, and draw a line through the points that would connect to form a straight line.

Hope this helps!

Answer:

15

Step-by-step explanation:

change the percent to a decimal

30% to .30

.30 x 50= 15

Answer:

y=− 2x−8 is the equation

Step-by-step explanation:

equation for slope is y=mx+b the y intercept is -8 and the slope is -2

Answer:

[tex]\frac{x}{y}[/tex] = 4

Step-by-step explanation:

Expressing in fractional form, that is

[tex]\frac{4x-y}{2x+y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )

3(4x - y) = 5(2x + y) ← distribute both sides

12x - 3y = 10x + 5y ( subtract 10x from both sides )

2x - 3y = 5y ( add 3y to both sides )

2x = 8y ( divide both sides by 2 )

x = 4y ( divide both sides by y )

[tex]\frac{x}{y}[/tex] = 4

Answer:

[tex] \boxed{ \frac{x}{y} = 4}[/tex]

Step-by-step explanation:

[tex]if \: \frac{4x-y}{2x+y}=\frac{5}{3}, \: then \: \frac{x}{y} = : \\ 3(4x - y) = 5(2x + y) \\ 12x - 3y = 10x + 5y \\ 2x = 8y \\ \frac{2x}{y} = 8 \\ \frac{x}{y} = 4[/tex]

The angle in the polygon that is an exterior angle is: angle A.

An exterior angle of a polygon is an angle that is formed outside the polygon at the point where a side of the polygon extends. Sum of all exterior angles of any polygon equals 360 degrees.

Angle A in the polygon given is formed at the point where a side of the polygon extends out. Therefore, the angle that is an exterior angle is: angle A.

Learn more about exterior angle on:

https://brainly.com/question/2546141

#SPJ1

Answer:

Didi sweet Didi mark me brain list please

Answer:

Step-by-step explanation:

∠Q = 180-∠T = 89°

∠S = 360-∠T-∠Q-∠R = 360-91-89-27 = 153°

Answer:

100

Step-by-step explanation:

20%-10

20%*5=100%--10*5=100

Answer:

the starting number is 100

Answer:

g = 18

Step-by-step explanation:

14 + g = 32

g = 32 - 14

g = 18

Hope that helps!

Answer:

One thing that must be true is that the objects will cause some leaning because their masses are unequal, judging from the volume that the objects can hold. One thing that could be true is that the triangle could be heavier than the square, leading to a leaning toward the left. The second pic cannot be true, for there are too much mass concentrated on one side to maintain equilibrium.

Answer:

Option (D)

Step-by-step explanation:

Linear equations are in the form of y = mx + b

Here, m = slope of the linear function

b = y-intercept

Quadratic function → y = ax² + bx + c

By these properties, y - 6 = x² represents the quadratic equation which is non linear.

Therefore, Option (D) will be the correct option.

la respuesta es 56

por que es : 6 personas por 5$ para la entrada lo cual es 30 , y por la comida es 6 personas por 6$ lo cual es 36 y el cupon se le resta 10 y eso da a 30$ + 36$-10 y eso da 56

Answer:

To translate the other guy

Step-by-step explanation:

the answer is 56

Because it is: 6 people for $ 5 for the entrance which is 30, and for the food it is 6 people for $ 6 which is 36 and the coupon is subtracted 10 and that gives $ 30 + $ 36 -10 and that makes 56

Answer:

the answer is below

Step-by-step explanation:

0.013089

Answer: 0.013089

Step-by-step explanation:

Answer:

18304

Step-by-step explanation:

This does this does thisoes

Answer:

[tex]T^\circ = -12^\circ[/tex]

Step-by-step explanation:

Given

Represent the temperature in Tucson with T and that in Minneapolis with M.

From the first statement, we have:

[tex]T^\circ = M^\circ - 24^\circ[/tex]

From the second, we have:

[tex]T^\circ = -M^\circ[/tex] or [tex]M^\circ = -T^\circ[/tex] --- i.e. both are opposite numbers

Required

Find T

To calculate T, substitute -T for M in [tex]T^\circ = M^\circ - 24^\circ[/tex]

This gives:

[tex]T^\circ = -T^\circ - 24^\circ[/tex]

Collect Like Terms

[tex]T^\circ +T^\circ =- 24^\circ[/tex]

[tex]2T^\circ =- 24^\circ[/tex]

Make T the subject

[tex]T^\circ =- 24^\circ/2[/tex]

[tex]T^\circ = -12^\circ[/tex]

Hence, the temperature in Tucson is [tex]-12^\circ[/tex]