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3 years ago

What is 48/56 in simplest form

Mathematics

2 answers:

GaryK [48]3 years ago

7 0

6/7 because 48 divided by 8 is 6 and 56 divided by 8 is 7

Kay [80]3 years ago

4 0

48/56 can be simplified by dividing 48 by 8 and you get 6. Then, you divide 56 by 8 equals 7. So, 48/56 in simplest form is 6/7.

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1.) List all interior angles (see image)

Alexxandr [17]

Answer:

1. Interior angles:- B and F

C and G

2. Corresponding angles:- E and G

F and H

A and C

B and D

3. Equal

4. Angle A = 105

Angle C = 105

Angle D = 75

Angle E = 75

Angle F = 105

Angle G = 75

Angle H = 105

5. Angle D

6. Angle B = 65

Step-by-step explanation:

1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

∴ Pair of interior angles are:- 1) B and F

2) C and G

2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.

∴ Pair of corresponding angles:- 1) A and C

2) B and D

3) E and G

4) F and H

3. Angle D and E are equal as they form alternate exterior angles.

4. Angle B = 75 degrees

Angle A = (180-B) = 105 degrees

Angle C = (180-B) = 105 degrees(interior angles)

Angle D = B = 75 degrees(corresponding angles)

Angle E = B = 75 degrees(congruent angles)

Angle F = (180-B) = 105 degrees

Angle G = B = 75 degrees(alternate interior angles)

Angle A = (180-B) = 105 degrees

5. Angle D

6. Angle F = 115 degrees

Angle B = (180-115) = 65 degrees

3 0

2 years ago

Find the missing measures of the parallelogram UT= ST= VS= VT=

12345 [234]

Answer:

see explanation

Step-by-step explanation:

In a parallelogram

• opposite sides are congruent

• the diagonals bisect each other

Then

UT = 27 ( congruent to RS )

ST = 18 ( congruent to RU )

VS = 7 ( congruent to UV )

VT = 15 ( half of RT )

3 0

2 years ago

4t+3c=$81.00 10t+3c=$135.00

muminat

$\left \{ {{4t+3c=81.00\:(I)} \atop {10t+3c=135.00\:(II)}} \right.$
Simplify the first equation by (-1)
 $\left \{ {{4t+3c=81.00\:*(-1)} \atop {10t+3c=135.00\:\:\:\:\:}} \right.$
Once simplified, cancel the opposing terms.
 $\left \{ {{-4t-\diagup\!\!\!\!3c=-81.00} \atop {10t+\diagup\!\!\!\!3c=135.00}} \right.$
Now find the value of "t".
$\left \{ {{-4t=-81.00} \atop {10t=135.00}} \right.$
-------------------------------
$6t = 54.00$
$t = \frac{54.00}{6}$
$\boxed{\boxed{t = 9.00}}\end{array}}\qquad\quad\checkmark$

Now find the value of "c", replace the found value of "t" in the first equation:
$4t+3c=81.00\:(I)$
$4*9+3c=81.00$
$36 + 3c = 81.00$
$3c = 81.00 - 36$
$3c = 45.00$
$c = \frac{45.00}{3}$
$\boxed{\boxed{c = 15.00}}\end{array}}\qquad\quad\checkmark$

Answer:
The values of "t" and "c" satisfying the linear system are successively: $ 9.00 and $ 15.00

3 0

3 years ago

7x+y^3+7x^3+6x-3y^3-2x^3+3x

musickatia [10]

Answer:

5x^3 + 16x - 2y^3

Step-by-step explanation:

7x + y^3 + 7x^3 + 6x - 3y^3 - 2x^3 + 3x

group like terms

= 7x^3 - 2x^3 + 7x + 6x + 3x + y^3 - 3y^3

add similar items

= 5x^3 + 7x + 6x + 3x + y^3 - 3y^3

add similar items

= 5x^3 + 16x + y^3 - 3y^3

add similar items

= 5x^3 + 16x - 2y^3

8 0

2 years ago

A rectangular bedroom is 4 ft longer than it is wide. Its area is 140 ft2. What is the width of the room? ft

steposvetlana [31]

Answer: width = 10 ft

Step-by-step explanation:

Area = length × width

Let l be length and w be width

l = w + 4 ........equation (1)

From above formula

140 = l × w. ........equation (2)

Substitute equation (1) into equation (2)

140 = (w+4) × w

w^2 + 4w= 140

w^2 + 4w - 140= 0

By factorization method

(w+14)(w-10)= 0

w=-14 or w= 10

So now width is 10 ft

From equation(1)

l=w+4

l= 10+4

l= 14 ft

Width = 10 ft and length = 14 ft

3 0

3 years ago

Read 2 more answers