AC=4, AE=7, AD=10, what is the length of AB?
A: 1 3/7
B: 2 1/2
C: 5 5/7
D: 17 1/2

Answer:

w = 77°

Step-by-step explanation:

From the picture attached,

WXYZ is a quadrilateral having 4 interior angles,

m∠y = 90°

Therefore, (2x - 10) = 90°

2x = 90 + 10

2x = 100

x = 50

Now, m∠z = (x + 15)° = 65°

m∠x = (3x - 22)° = 150 - 22

                          = 128°

Sum of interior angles of a polygon = (n - 2)×180°

where n = Number of sides of the polygon

If n = 4,

m∠u + m∠x + m∠y + m∠z = (4 - 2) × 180°

w + 128 + 90 + 65 = 360

w = 360 - 283

w = 77°

Therefore, measure of w = 77°

Answer:

Im pretty sure that the answer is 32.

Step-by-step explanation:

Hope this helps

Answer:

proof

Step-by-step explanation:

Statements

Reasons

<2 is congruent to <5; Segment AB is congruent to Segment DE

Given

<3≅<4

Vertical angle theorem

ΔCDB≅ΔCAE

AAS

Segment BC is congruent to Segment EC

CPCTC

The segment BC is congruent to segment EC and this can be proven by using the properties of a triangle and the given data.

Given :

The following steps can be used in order to prove that segment BC is congruent to segment EC:

Step 1 - Using the triangle properties it can be proven that segment BC is congruent to segment EC.

Step 2 - According to the vertical angle theorem, angle 3 is congruent to angle 4.

Step 3 - Now, according to the AAS (Angle Angle Side) postulate, triangle CDB is similar to triangle CAE.

Step 4 - So, according to the CPCTC, segment BC is congruent to segment EC.

For more information, refer to the link given below:

https://brainly.com/question/25813512

Answer:

4/5

Step-by-step explanation:

You know 0.8 x 10 = 8, so 8/10 is the fraction.  

Now, simplify 8/10.  

8/10 = 4/5

Answer:

4/5

Step-by-step explanation:

Step 1: Convert decimal to fraction

0.8= 8/10

Step 2:Simplify

8/10=4/5

Answer:

5pi/3

Step-by-step explanation:

For two angles to be co-terminal, one must differ from the other by a multiple of 2pi.

The angle of consideration is 5pi/3

Let us consider the options one by one and see if they differ from the angle of consideration by a multiple of 2pi.

5pi/3 - pi/3 = 4pi/3

5pi/3 - 2pi/3 = 3pi/3 = pi

5pi/3 - 4pi/3 = pi/3

5pi/3 - 5pi/3 = 0 = 0(2pi)

5pi/3 is co-terminal with itself

Answer:

p = 5.50b

Step-by-step explanation:

2 beach balls cost 11

4 beach balls cost 22

6 beach balls cost 33

So each (1) ball b costs 5.50 ($) p

Answer:

Step-by-step explanation:

(27)^2/3=∛27²=∛3³*3³=3*3=9

√36³=√36*36*36=√6²*6²*6²=6*6*6=216

(-243)^3/5=5√2-42³=-27

Answer:

[tex]10i[/tex]

Step-by-step explanation:

√(-100)

Use the imaginary number rule  [tex]i=\sqrt{-1}[/tex]

√(-1) × √(100)

i × √(10²)

i × 10

= 10i

Answer:

It does not have a square root because it is a minus digit.

Step-by-step explanation:

The square root of one number is the number which is multiplied by itself to form the square number.

But, no negative number has a square root, because

- x - = +

+ x + = +

As you can see, no two same signs multiply together to form a negative.

Hope this helps.

Good Luck

Answer:

15

Step-by-step explanation:

Prime factors of 3375 are 3, 3, 3, 5, 5, 5.

Since you need the ∛ of 3375, ∛3375=15

Answer:

15

Step-by-step explanation:

15x15x15=3375

Answer:

Step-by-step explanation:

The question is not correctly written, here is the correct question.

If h(x) = 5 + x and k(x) = 5, which expression is equivalent to (koh)(x)?

(koh)(x) can be rewritten as k{h(x)}

Since h(x) = 5+x then,  k{h(x)} = k(5+x)

Note that k(x) can be written as 5x°

k(5+x) = 5(5+x)°

Since any value raise to the power of zero is 1, then;

k(5+x) = 5(1)

k(5+x) = 5

(koh)(x) =  k{h(x)}  = 5

For (hok)x;

(hok)x = h{k(x)}

= h(5)

= h(5x°)

Since h(x) = 5+x

h(5x°) = 5+5x°

h(5x°)= 5+5 = 10

(hok)x = h(k(x)) = 10

Answer:

I hope it will help you.......

Answer:

The answer is (x + 5)(x - 5).

Step-by-step explanation:

Assuming that 25 is a perfect square so you can apply :

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

Test :

[tex](x+5)(x-5) = {x}^{2} - 5x + 5x - 25 [/tex]

[tex](x+5)(x-5) = {x}^{2} - 25 [/tex]

Answer:

[tex]\boxed{(x-5)(x+5)}[/tex]

Step-by-step explanation:

x² - 25

Factor out square.

(x)² - (5)²

Apply difference of two squares formula.

a² - b² = (a-b)(a+b)

a = x

b = 5

x² - 25 = (x-5)(x+5)

This question is incomplete.

Find attached to this question the diagram of the cube.

Reference for the attached image: This diagram was obtained from Education Quality and Accountability Office (EQAO) PDF

Answer:

128cm³

Step-by-step explanation:

The diagram of the box shows it has a side length of 9.2cm

Volume of a cube =( Length)³

Volume of a cube =( 9.2cm)³

= 778.688cm³

We are told in the question that the decoration packed in the cube has a volume of 651 cm³.

The amount of empty space remaining in the box is calculated as:

778.688cm³ - 651cm³

= 127.688cm³

Approximately to the nearest whole number = 128cm³

Answer:

(5, -3)

Step-by-step explanation:

(-16+x)/2 = -5.5 => x=5

(4+y)/2 = 0.5 => y=-3

Answer:

440,816 miles per day

Step-by-step explanation:

Answer:

Substitute -3,-2,-1,0,1,2,3 in d equation given to u at first to complete the table

Answer:

D.   22.5 sq. un.

Step-by-step explanation:

W divides BU so that there is a ratio of 1;2 meaning that there are 3 parts.

That means that 3 parts is BUV; we know that one of those parts is 4.5 sq. un. so 4.5*3=13.5 sq. un.  - Also 4.5*2=9 to get WUV

V is the midpoint of the line BS so that means that BUV and UVS are equal

we know that BUV is 13.5 so we multiply that by 2 to get the whole triangle

=27

The last step is to get rid of BVW which we know is 4.5

27-4.5=22.5

Answer:

Top left graph.

Step-by-step explanation:

If Juan didn't take a break, there is no plateau/flat line. And if he started hiking up and then down, then the graph should be an upside-down V shape.

Answer:

Graph A is the most acuurate

Answer:

first and last options

Step-by-step explanation:

Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².

Answer:

1 and 4

Step-by-step explanation:

Answer:

A. 4 2/3 hours

B. (i) 9 4/5 hours

(ii) 1 19/30

Step-by-step explanation:

Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.

Mathematically, that would be;

4/7 * 8 1/6

8 1/6 is same as 49/6

So the number of hours he spent visiting old folks would be ;

49/6 * 4/7 = 14/3 = 4 2/3 hours

B. What we do here is simply multiply the fraction now by what he spent last year.

That would be 1 1/5 * 8 1/6 hours

= 6/5 * 49/6 = 49/5 = 9 4/5 hours

ii) Now we want to know how much more time will be spent this year than last year.

What to do here simply is to subtract the time taken last year from what we have this year

That would be;

49/5 - 49/6 = 49/30 = 1 19/30

Answer:

x = 1, y = -2

Step-by-step explanation:

- 2x + 10y = -22 _______(1)

-2x - 4y = 6 _______(2)

From (1),

10y + 22 = 2x

x = (10y + 22) / 2

x = 5y + 11 .______(3)

Substitute (3) into (2),

-2 ( 5y + 11) -4y = 6

-10y - 22 - 4y = 6

-14y = 6 + 22

-14y = 28

y = 28/ -14

y =-2

Substitute y = -2 into (3).

x = 5y + 11

x = 5(-2) + 11

x = -10 + 11

x = 1

Therefore, the solution is x = 1, y = -2.

Answer:

86 B

Step-by-step explanation:

32+62=94

180-94=86

The sum of the interior angles of a triangle always add up to 180 degrees.

Answer:

The third angle is 86

Step-by-step explanation:

The sum of the angles of a triangle add to 180

32+62+x = 180

94+x = 180

Subtract 94 from each side

x = 180-94

x =86

Answer:

Step-by-step explanation:

2340 miles

Given

1 inch represents 10 miles

thus,

1 inch on map = 10 miles in real

given the two cities are 234 inches apart on map

1 inch on map = 10 miles in real

multiplying both side by 234

1 inch*234 on map = 10 miles*234 in real

234 inch on map = 2340 miles in real.

Thus, two cities are 2340 miles apart.

Answer:

27.5 miles

Step-by-step explanation:

You need to multiply 2 3/4 by 10, because it says every inch represents 10 miles.

2 3/4 * 10

11/4 * 10/1 = 55/2

27 1/2 or, 27.5

Answer:

11.67

Step-by-step explanation:

Data given in the question

∠ADC = 42°

∠BAC = 68°

Let us assume that AC be Y

Now

In ΔACD

tan 42° = AC ÷ CD = Y ÷ x ...............................(i)

In ΔACB  

tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)

Now take the value of Y from the equation (ii)

Y = 26 ÷ Tan 68° ...................... (iii)

Now place the value of Y in equation (i)

So,

Tan 42° = 26 ÷ tan 68° × X

X = 26 ÷  tan 68° × Tan 42° ......................(iv)

Now placing the values of tan 42° and tan 68° in equation (iv)

So,

X = 26 ÷ 0.900 × 2.475

= 11.67

The tan 42° = 0.900

And, the tan 68° = 2.475

Answer:

d.tigers have a great IQR because they were some very heavy tigers.(high outliers)

Answer:

32 years old

Step-by-step explanation:

Please see attached picture for full solution.

Let Sunil's present age be 4x and his wife's present age be 3x.

Step-by-step explanation:

For one course:

6+8+5=

Two courses with appetizers and main meals (* means times)

6*8

Two courses with appetizers and dessert

6*5

Two courses with main meals and dessert

8*5

Answer:

Step-by-step explanation:

Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;

Multiply both sides by 10

d/10 * 10 = 12*10

d = 120

It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality  was used to solve the equation.

Answer:

D

Step-by-step explanation:

Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote