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Gnesinka [82]
3 years ago
9

AD= DC= Angle a= Angle b= Angle c=

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

9514 1404 393

Answer:

  AD= 8

  DC= 15

  Angle a= 112°

  Angle b= 68°

  Angle c= 112°

Step-by-step explanation:

We have to assume the figure is a parallelogram.

Opposite sides of a parallelogram are congruent, so ...

  BC = AD = 8

  AB = DC = 15

Opposite angles are congruent, and adjacent angles are supplementary.

  180° - ∠D = Angle a = Angle c = 112°

  ∠D = Angle b = 68°

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Write y=1/8x+7 in standard form using intergers
lakkis [162]

Answer:

B) -x+8y=56

Step-by-step explanation:

y=1/8x+7

Multiply by 8 to clear the fraction

8y = 8(1/8x+7)

Distribute

8y = 8*1/8x +8*7

8y = x+56

Subtract x from each side

-x+8y = x-x+56

-x+8y = 56

4 0
3 years ago
you buy rice at 0.71 a pound one batch of fried rice requires 10 lb of rice how much does a rice for one batch cost ​
Drupady [299]

x ⇒ 3 · x = ($0.71)(3)= $2.13.

5 0
2 years ago
A town has a population of 2000 and grows at 4% every year write an equation to represent the scenario​
vfiekz [6]

Answer: P=2000(1.04)^t.

Step-by-step explanation:

It is given that,

Initial population of a town = 2000

Growth rate = 4% = 0.04 per year

The exponential growth function for population is

P=P_0(1+r)^t

where, P_0 is initial population, r is growth rate and t is number of years.

Substitute P_0=2000,r=0.04 in the above equation.

P=2000(1+0.04)^t

P=2000(1.04)^t

Therefore, the required equation is P=2000(1.04)^t, where P is population after t years.

7 0
3 years ago
Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold the gloves and skirt for a total of £48. She made 100% p
Nimfa-mama [501]

Answer:

Profit % = 111.1 %

Step-by-step explanation:

Cost of glove = £4

Sales price of glove and skirt = £48

100% profits on the cost of the glove

20% profit on the total cost

Profit on the total cost = 20% = 0.20

Total cost + 0.20 total cost = Sale value

1.20 * total cost = 48

Total cost = 48 / 1.20

Total cost = 40

Cost of the skirt = Total cost - cost of the gloves

Cost of the skirt = 40 - 4

= 36

Price of the skirt = total value - price of the gloves

Total value = £48

100% of £4 = 100/100 * £4

= £4

Profits + cost of glove = $8

Amount remaining = £48 - £8

= £40

Profit percentage on the skirt = price of the skirt / cost of the skirt

= 40 / 36 * 100

= 1.1111 * 100

Profit % = 111.1 %

3 0
3 years ago
Which transformations to the graph of j(x) would result in the graph of j(4x)-27
mrs_skeptik [129]

Answer:

Composition and vertical translation must be done in the parent function.

Step-by-step explanation:

Let be j(x) the parent function, if g(x) = j(4\cdot x) -27, then two transformation must be done in the following order:

Composition

j \circ h (x) \rightarrow  j(h(x)), where h(x) = 4\cdot x

Vertical translation

g(x) = j(4\cdot x) -27

Composition and vertical translation must be done in the parent function.

5 0
3 years ago
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