An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove the diagonals of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

Answer:

4 in

4√2 in

Step-by-step explanation:

Part A

Missing angle= 90°-45°=45°

Missing leg = 4 in as opposite angles are equal

Part B

According to Pythagorean theorem

Hypotenuse²= (4in)²+(4in)²= 32 in²

c=√32 in²= 4√2 in

Answer:

Step-by-step explanation:

f(-2)= 3(-2) - 1 = -6 - 1 = -7

g(5)= -5 + 6 = 1

-7 + 1 = -6

Answer:

I am pretty sure its (a) and (c)

Step-by-step explanation:

Answer:

The measure of ∠MCK is 45°

Step-by-step explanation:

The parameters given are;

ΔABC with hypotenuse side AB

Let AB = x

BC = y

AC = z

∴ x² = y² +  z²

∠BCM = ∠CMB  (Base angles of isosceles triangle ΔBMC)

Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)

∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)

Hence, 2 × ∠BCM + ∠CBM = 180°........(1)

Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)

Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK

However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)

∴∠CBM + ∠CAK = 180° - 90° = 90°

Adding equations (1) and (2), we have;

2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°

Which gives;

2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°

Where;

∠CBM + ∠CAK = 90°, we have;

2 × ∠BCM + 2 × ∠ACK + 90° = 360°

∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°

∠BCM + ∠ACK = 270°/2 = 135°

∠BCM = ∠CMB

∴ ∠CMB + ∠ACK = 135°

Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK

Hence, ∠CMK + ∠MCK  = 135°

However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)

Which gives;

∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°

∴ m∠MCK = 180° - 135° = 45°.

The measure of ∠MCK, m∠MCK = 45°.

Answer:

I think we're probably talking about a right triangle. So just find the adjacent side and the hypotenuse.

Step-by-step explanation:

Once we are considering [tex]x \in \mathbb{R}[/tex], the range of  [tex]\text{cos}(x)[/tex] is [tex][1, -1][/tex]. Therefore, [tex]$\frac{42}{41} $[/tex] is not true.

In this exercise, we may have

[tex]$\text{cos}(x)=\frac{x}{r} =\frac{x}{\sqrt{x^2 +y^2} } $[/tex]

Considering the trigonometric functions beyond the unit circle.

Or considering the definition in the right triangle:

[tex]$\text{cos}(x)=\frac{\text{adjacent}}{\text{hypotenuse}} $[/tex]

Answer:

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

The point (7,1) contains a x-value of 7 and a y-value of 1.  7 does not equal 1.

Answer:

The equation is true.

Step-by-step explanation:

Answer:

317 IS THE ANSWER

Step-by-step explanation:

The right answer is 317

please see the attached picture for full solution.

hope it helps

good luck on your assignment

Answer:

y=2/3x (y equals two-thirds x)

Step-by-step explanation:

3y=2x

(divide by 3 on both sides to get just the y value)

3/3y=2/3x

y=2/3x

Answer:

C

Step-by-step explanation:

x-intercept occurs when y=0.

2x -3y= 8

When y=0,

2x -3(0)= 8

2x= 8

x= 8 ÷2

x= 4

Thus the coordinates is (4,0).

Answer:

a and c

Step-by-step explanation:

∠ 1 = 60° ( vertical angle )

The sum of the 3 angles in a triangle = 180°, thus

∠ 2 = 180° - (60 + 70)° = 180° - 130° = 50° → a

(7)

∠ 3 = 180° - (60 + 40)° = 180° - 100° = 80°

∠ 3 and ∠ 4 are adjacent angles and supplementary , thus

∠ 4 = 180° - ∠ 3 = 180° - 80° = 100° → c

Answer:

Table B

Step-by-step explanation:

Table A Input Output

                5 3

                5 2

                4 1

Has  an input that goes to 2 different outputs, not a function

Table B Input Output

                 1 2

                 3 2

                 5 3

one to one relation which is a function

Table C Input Output

                 0 0

                 1 2

                 1 3

Has  an input that goes to 2 different outputs, not a function

Table D Input Output

                  4 2

                 4 3

                 4 4

Has  an input that goes to 2 different outputs, not a function

Answer:

3(c + 2) = 36

c + 2 = 12

c = 10

Answer:

10

Step-by-step explanation:

3(c+2)=36

- Use distributive property

3c+6=36

- subtract 6 from both sides

3c=30

- divide by 3

c = 10

Answer:

For measuring such small amounts of medicine, your doctor may give you a 1 cc syringe (there is that cubic centimeter thing again - remember, it is the same as a milliliter - ml).

...

measurement of medicines.

1/4 teaspoon 1.25 ml

1 teaspoon 5 ml

1-1/2 teaspoon 7.5 ml

1 tablespoon 15 ml

Step-by-step explanation:

Answer:

Depends on the medicine, some have more some have less there is no set amount

Step-by-step explanation:

Pls give brainliest i had 40 down to 1 for no reason, i will thank you for it via ur profile and comments also a thanks would be appreciated too

I hope this helps u! ;)

Answer: -920

Step-by-step explanation:

-447 - 473 = -920

In this case, smaller means more negative

Answer:

-920

Explanation:

To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:

-447 - 473

- (447 + 473)

-920

Therefore, the new dot was on -920.

Answer:

A = $ 3,283.44

A = P + I where

P (principal) = $ 2,950.00

I (interest) = $ 333.44

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

44.4

Step-by-step explanation:

right on edge

Answer:

Step-by-step explanation:

Given the following :

- - - Jhs

Basic level - - - - Boys - - - - Girls - - - - Total

Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%

Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%

With the information above,

Primary Dropout percentage:

BOYS : [49 / (49 +51)] × 100.= 49%

GIRLS : [51 / (49 +51)] × 100.= 51%

Jhs: Dropout percentage

BOYS : [56 / ( 56 + 44) × 100 = 56%

GIRLS : [44 / (44 +56)] × 100.= 44%

Answer:

-35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

11-(-24)

35

brianliest please

Answer:

1. x = -1

2. y = -3

Step-by-step explanation:

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

5-5x+2 = 4x+12

5-5x+2 = 4x+12

-5x+3 = 4x+12

     -3         -3

-5x = 4x+9

-4x    -4x

-9x = 9

x = -1

2. -3³-2(2y-2) = 5y+4

-27-4y+4 = 5y+4

-4y-23 = 5y+4

     -4          -4

-4y-27 = 5y

+4y         +4y

-27 = 9y

y = -3

Answer:

1. 4.17

2.  -2.2

Step-by-step explanation:

Steps For Number 1

1.  solve put 5x and 1 together, then put two and three together.

5 - 6x +5 = 4

2. 6x + 5 =

x=  0.83

5 - 0.83 =  4.17

Steps For Number 2

1. -3^3 = -9

2. -9 - 2(2y-2) = 5y +4

3. solve for y in 2y -2

y = 0

4.  -9 - 2 = -7

5. -7 = 5y +4

5y +4 =-7 solve

     -4 = -4

  5y = -11 divide 5 by both

Answer:

check google

Step-by-step explanation:

Answer: 26¢

Step-by-step explanation: A penny equals 1¢ and a quarter is 25¢ so together that would make 26¢

in it's simplest form it's 0.1555555555

Answer:

C

Step-by-step explanation:

So you should be looking for the right function.

Remember that any number to the power of 0 is by definition 1.

3 * 1 = 3

In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.

So if you substitute x= 0 the result should be 3.

3 * 1 = 3

The two functions that comply with that, are the ones in answers B or C.

In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.

The only function that complies with that is in answer C.

Answer:

[tex]72[/tex]

Step-by-step explanation:

Jeremy is [tex]x[/tex] years-old.

Jeremy's grandfather is [tex]4x[/tex] years-old.

Adding their ages together will get [tex]90[/tex]

[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]

Jeremy's grandfather age would be:

[tex]4x\\4(18)\\72[/tex]

Answer: 72

Step-by-step explanation:

Let Jeremy age be x

Granfather' age is 4x

x + 4x = 90

5x = 90

x = 90/5 = 18

Jeremy' age is 18

Granfather age is 4x = 4*18 = 72

Answer:

20

Step-by-step explanation:

Let x represent the number of movies bought/downloaded

3x + 10 = 2x +30

Subtract 2x and 10 from both sides

x = 20

Answer:

3x + 10 = 2x + 30

Step-by-step explanation:

Let the number of movies downloaded = x

Movie time:

3x + 10

Movie city:

2x +30

3x + 10 = 2x + 30

3x -2x = 30 - 10

x = 20

Answer:

J - Age of Jan

G - Age of George

J + G = 65

J+10 = 4(G+10)

Step-by-step explanation:

Answer:

80 words per minute

Step-by-step explanation:

320/4

80 wpm

Answer:80 wpm

Step-by-step explanation:

Divide 320 by 4.

That should give you 80.

Hope i helped :)))

Answer:

A. a point that shows the y-intercept

Step-by-step explanation: