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Travka [436]
3 years ago
10

6.

Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

Answer:

10.50

Step-by-step explanation:

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Step-by-step explanation:

(89-59) /59 = 0.5084/100 = 50.84%

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Answer:

Triangle APB is an isosceles triangle ⇒ 3rd answer

Step-by-step explanation:

* Lets explain the how to solve the problem

- ABCD is a square

∴ AB = BC = CD = AD

∴ m∠A = m∠∠B = m∠C = m∠D = 90°

- DPC is equilateral triangle

∴ DP = PC = DC

∴ m∠DPC = m∠PCD = m∠CDP = 60°

- In the Δs APD , BPC

∵ AD = BC ⇒ sides of the square

∵ PD = PC ⇒ sides of equilateral triangle

∵ m∠ADB = m∠BCP = 30° (90° - 60° = 30) ⇒ including angles

∴ Δs APD , BPC are congregant ⇒ SAS

- From congruent

∴ AP = BP

∴ Triangle APB is an isosceles triangle

7 0
3 years ago
Can anyone help me with this. Click to see
kotykmax [81]

Answer:

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Step-by-step explanation:

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Read 2 more answers
On a recent trip to a local orchard, the Morgan family picked four different kinds of apples - Braeburn, Cortland, Fuji, and Rom
ivanzaharov [21]

Answer:

Morgan family picked 144 Braeburn apples, 96 Cortland apples, 72 Fuji apples and 48 Rome apples.

Step-by-step explanation:

Let B, C, F and R represent Braeburn apples, Cortland apples, Fuji apples, and Rome apples respectively.

We have been given that Morgan family picked a total of 360 apples. We can represent this information in an equation as:

B+C+F+R=360...(1)

We are told that Morgan family picked twice as many Braeburn as Fuji. We can represent this information in an equation as:

B=2F...(2)

We are told that Morgan family picked twice as many Cortland as Rome, that is:

C=2R...(3)

We are told that Morgan family picked 50% more Fuji than Rome, that is:

F=1.5R...(4)

Upon substituting equation (4) in equation (2), we will get:

B=2(1.5)R

B=3R

Now, each apple in in terms of Rome apples, so we will get:

3R+2R+1.5R+R=360

Let us solve for R.

7.5R=360

\frac{7.5R}{7.5}=\frac{360}{7.5}

R=48

Therefore, Morgan family picked 48 Rome apples.

Upon substituting R=48 in (3), we will get:

C=2R\Rightarrow 2(48)=96

Therefore, Morgan family picked 96 Cortland apples.

Upon substituting R=48 in (4), we will get:

F=1.5R\Rightarrow 1.5(48)=72

Therefore, Morgan family picked 72 Fuji apples.

Upon substituting F=72 in (2), we will get:

B=2F\Rightarrow 2(72)=144

Therefore, Morgan family picked 144 Braeburn apples.

3 0
3 years ago
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