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3 years ago

(-4,3),(-1,-6),(3,6)

Mathematics

2 answers:

nirvana33 [79]3 years ago

6 0

Answer:

please write full quation

Nikitich [7]3 years ago

4 0

108.36
Hope this helps you!

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Harry, regan and kelan share £450 in the ratio 2 : 5 : 3 . how much money does kelan get?

Nezavi [6.7K]

Answer:

Kelan gets 135 Euros.

Step-by-step explanation:

First of all you add up the ratio getting 10, with 10 you divide it from 450 getting 45. Then you multiply 3 (Kelan's Part) by 45 getting your answer. Tell me if this helped, i'd appreciate knowing.

5 0

4 years ago

A player scored 92 92 points in a single professional basketball game. he made a total of 58 58 baskets, consisting of field go

gregori [183]

Hello,

x → field goals
y → foul shorts
x + y = 58
+( -2x + y = 92 )
--------------------------
-x + 0y = -34
x = 34
y = 58 - 34 = 24

4 0

3 years ago

What is AE and the perimeter of BCDE? Round your answer to the nearest tenth.

Oliga [24]

Answer:

AE = 43.2 units

Perimeter = 229.2 units

Step-by-step explanation:

Let the side AE be 'x'.

Consider triangles AEB and ADC

Statements Reasons

1. ∠ ABE ≅ ∠ ACD Right angles are congruent.

2. ∠A ≅ ∠A Common angle

Therefore, the two triangles are similar by AA postulate.

Now, for similar triangles, the ratio of their corresponding sides are also proportional to each other. Therefore,

$\frac{AE}{AD}=\frac{AB}{AC}=\frac{BE}{DC}\\\\\frac{AE}{AE+ED}=\frac{AC-BC}{AC}$

Now, plug in the given values and solve for 'x'. This gives,

$\frac{x}{x+72}=\frac{88-55}{88}\\\\88x=33(x+72)\\\\88x=33x+2376\\\\88x-33x=2376\\\\55x=2376\\\\x=\frac{2376}{55}=43.2$

Therefore, AE = 43.2 units

Now, from right angled triangle ABE,

$(AB)^2+(BE)^2=(AE)^2...(Pythagoras\ Theorem)\\\\(33)^2+(BE)^2=(43.2)^2\\\\BE=\sqrt{(43.2)^2-(33)^2}=27.879$

Similarly from right angled triangle ACD,

$CD=\sqrt{AD^2-AC^2}\\\\CD=\sqrt{(72+43.2)^2-88^2}=74.344$

Now, perimeter is the sum of all the sides of a figure. Therefore, the perimeter of BCDE is given as:

Perimeter = BE + ED + CD + BC

Perimeter = 27.879 + 72 + 74.344 + 55 = 229.223 ≈ 229.2 (Nearest tenth)

Therefore, the perimeter = 229.2 units

6 0

3 years ago

A kg of aluminum earns a collector $2.50 at the recycling center. If I collect 14 kg. Of aluminum cans, how much money will I ea

saul85 [17]

Answer:

$ 35

Step-by-step explanation:

$\frac{1}{14} = \frac{2.5}{x}$

$x = 14 \times 2.5 \\ \\ x = 35$

8 0

3 years ago

Read 2 more answers

6x−3(6−5x)+3x=10−4(2−x)

Anvisha [2.4K]

Answer:

x =1

Step-by-step explanation:

$6x-3\left(6-5x\right)+3x=10-4\left(2-x\right)\\\\Group\:like\terms\\6x+3x-3\left(-5x+6\right)=10-4\left(2-x\right)\\\\Add\:similar\:elements:\:6x+3x=9x\\9x-3\left(-5x+6\right)=10-4\left(2-x\right)\\\\Expand\:-3\left(-5x+6\right):\quad 15x-18\\9x+15x-18=10-4\left(2-x\right)\\\\\mathrm{Add\:similar\:elements:}\:9x+15x=24x\\24x-18=10-4\left(2-x\right)\\\\Expand\:10-4(2-x):4x+2\\24x-18=4x+2\\\\Add\:18\:to\:both\:sides\\24x-18+18=4x+2+18\\\\Simplify\\24x=4x+20\\$

$\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\24x-4x=4x+20-4x\\\\Simplify\\20x=20\\\\\mathrm{Divide\:both\:sides\:by\:}20\\\frac{20x}{20}=\frac{20}{20}\\\\Simplify\\x=1$

5 0

3 years ago