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Phantasy [73]
3 years ago
8

Two agent angles of a parallelogram are in the ratio 1 by 3 find the measures of all the angles​

Mathematics
1 answer:
zalisa [80]3 years ago
8 0

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

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Answer:

50.75

Step-by-step explanation:

You Just have to multiply length - width - and height - and you're good to go!

5 0
3 years ago
Which of the following represents a combination? Select all that apply.
Svetradugi [14.3K]

Answer:

Combinations:

A committee consisting of three members with the same role

Selecting two sandwiches from a menu of 10

Step-by-step explanation:

A combination is a selection of items from a collection, such that the order of selection does not matter.

A permutation is a selection of items from a collection, such that the order of selection matters.

A. The PIN for a bank or credit card - order matters → permutation

B. A committee consisting of three members with the same role - order does not matter → combination

C. A committee consisting of a president, vice president, and secretary - order matters → permutation

D. Final standings in a professional sports league - order matters → permutation

E. Selecting two sandwiches from a menu of 10 - order does not matter → combination

3 0
3 years ago
Please solve this sheet.
lyudmila [28]
Hello,

A: roots: -1,-3
a point (-2,1)
Vertex=((-2,1)

y=k*(x+1)(x+3) using roots
but k*(-2+1)(-2+3)=1==>k*(-1)*1=1==>k=-1

eq: y=-(x+1)(x+3)
==>y=-(x²+3x+x+3)
==>y=-x²-4x-3
y=k(x+2)²+1 if x=-1,y=0 ==>k*1+1=0==>k=-1
==>y=-(x+2)²+1

Answer :A--> R,K

B)
y=k(x+4)²-2 and k=-1/2
y=-1/2(x+4)²-2
y=-1/2x²-4x-10

answer B--> I,≈W if it is written -1/2*x²  (square has been forgotten)

C:
y=2x²-16x+30
y=2(x-4)²-2
answer : C-->S,J

D:
y=-(x+3)(x+1)
y=-x²-4x-3
=-(x+2)²+1
answer D--> V,L

E:
Here there is a problem: or the graph is wrong, or 2 equations are missing!

y=1(x+1)(x-3) using roots
y=x²-2x-3 ≈ T si it were -2x and not +2x.

y=(x-1)²-4 ≈H is it were -1 in place of +1 [H:y=(x+1)²-4]




6 0
3 years ago
If f(x) = 5x − 3, which expression represents its inverse function?
tangare [24]

Answer:

f ^{-1}(x)=\frac{x+3}{5}

Step-by-step explanation:

To find the inverse of a function f (x) follow the steps below:

1) Make y = f (x)

y= 5x - 3

2) Solve for the variable x

y+3= 5x - 3+3

y+3= 5x

x=\frac{y+3}{5}

3) Exchange the variable x with the variable y

y=\frac{x+3}{5}

4) Make y = f ^{-1}(x)

f ^{-1}(x)=\frac{x+3}{5}

Finally, the inverse of the function f (x) is: f ^{-1}(x)=\frac{x+3}{5}

5 0
3 years ago
Dividing 5/937 long division
Temka [501]

Answer:

187.4

Step-by-step explanation:

7 0
3 years ago
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