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son4ous [18]
4 years ago
5

Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50.

Mathematics
1 answer:
Mandarinka [93]4 years ago
7 0
Let x = cost of mango
y = c of apples 
<span>8x+3y=18.
3x+5y=14.5 </span>

<span> </span>
<span>24x+9y=54
24x+40y=116
multiplying them with 3 and 8 resectively. </span>
<span>subtract one from the other we get </span>
<span>40y-9y=116-54 </span>
<span>31y=62 </span>
<span>y=2.
cost of apple=2$  per apple
</span><span>8x+3y=18,
 8x+3(2)=18.
8x=12. x=12/8=1.5 </span>
<span>cost of mango i= 1.5 $ per mango
hope this helps</span>
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given : AD is ⊥to AB and DC, BC is ⊥ to AB and DC, angle EDC ≅ angle ECD, AD ≅ BC. prove: triangle ADE ≅ triangle BCE
Kamila [148]

Answer:

Hence proved triangle ADE ≅ triangle BCE by Side Angle Side congruent property.

Step-by-step explanation:

Given:

AD ⊥ AB \& CD

BC ⊥ AB \& CD

AD = BC

∴ ∠ A = ∠ B = ∠ C = ∠ D =90°

∠ EDC = ∠ ECD

Solution

∠ C = ∠ BCE + ∠ ECD⇒ equation 1

∠ D = ∠ ADE + ∠ EDC⇒ equation 2

∠ C = ∠ D (given)

Substituting equation 1 and 2 in above equation we get

∠ BCE + ∠ ECD = ∠ ADE + ∠ EDC

But ∠ EDC = ∠ ECD (given)

∴ ∠ ADE = ∠ BCE

ED = EC (∵ base angles are same triangle is isosceles triangle)

Now, In Δ ADE and Δ BCE

AD =BC

∠ ADE = ∠ BDE

ED = EC

∴ By Side Angle Side congruent property

Δ ADE ≅ Δ BCE

6 0
4 years ago
I NEED HELP!!!!!! 4x+2x-5=7x-1
yan [13]

Let's solve your equation step-by-step.

4x+2x−5=7x−1

Step 1: Simplify both sides of the equation.

4x+2x−5=7x−1

4x+2x+−5=7x+−1

(4x+2x)+(−5)=7x−1(Combine Like Terms)

6x+−5=7x−1

6x−5=7x−1

Step 2: Subtract 7x from both sides.

6x−5−7x=7x−1−7x

−x−5=−1

Step 3: Add 5 to both sides.

−x−5+5=−1+5

−x=4

Step 4: Divide both sides by -1.

−x

−1

=

4

−1

x=−4

Answer:

x=−4

i hope this helps you

3 0
3 years ago
1) Brandon owns nearly 2 times as many CDs as Ingrid. Brandon owns 56 CDs. Write an equation and use it to estimate the number "
Arisa [49]
1)n=2(56)

2)x=5
If u need to show work it would be like this****

(-1/13)-13x=-65(-1/13)
X=5
8 0
3 years ago
Will mark the brainliest <br> And thank you:)
Vinvika [58]

\sf{\implies Range = Highest \: - lowest }

→ Range of Lewistown = 74 - 64

→ Range of Lewistown = 10 .

→ Range of Hamersville = 71 - 55

→ Range of Hamersville = 16 .

☆ Range of Hamersville - Range of Lewistown

→ 16 - 10

→ 6

Answer → The range for Hamersville is 6 more than the range for Lewistown .

5 0
3 years ago
Can someone help with 2.6
miss Akunina [59]

Answer:

B

Step-by-step explanation:

Theta is found using the sin-1 function. Start off with the sin of theta.

sin(theta) = opposite over hypotenuse.

sin(theta) = 3/8 = 0.375

Theta = Sin-1 (0.375)

Theta = 22.02 degrees.

Answer: B

4 0
4 years ago
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