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amm1812
3 years ago
10

HELP ME PLEASE What is the value of z?

Mathematics
2 answers:
nataly862011 [7]3 years ago
8 0

Answer:

z = 23

Step-by-step explanation:

The angles in a triangle add up to 180°.

So, 62° + 95° + z = 180°.

Subtract 62 and 95 on both sides.

62 + 95 + z - 62 - 95 = 180 - 62 - 95

z = 23

Hope this helps! Feel free to ask any questions.

dybincka [34]3 years ago
7 0

Answer:23

Step-by-step explanation:

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Rudik [331]

The value of x is 8.

Solution:

Given \triangle V D G \sim \triangle V N Q.

DG = 60, NQ = 48, DN = 15, NV = x + 4

<u>To find the value of x:</u>

<em>Property of similar triangle:</em>

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$\Rightarrow\frac{DG}{NQ} =\frac{DN}{NV}

$\Rightarrow\frac{60}{48} =\frac{15}{x+4}

Do cross multiplication.

$\Rightarrow60(x+4)=15\times48

$\Rightarrow60x+240=720

Subtract 240 from both side of the equation.

$\Rightarrow60x+240-240=720-240

$\Rightarrow60x=480

Divide by 60 on both sides of the equation.

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3 years ago
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Talja [164]

Answer: a) 146 units used b) the cost of the number of units used is 3136 p.

Step-by-step explanation:

Since we have given that

First 100 units = 24 p per unit

Remaining units = 16 p per unit

New reading = 7143 units

Old reading = 6997 units

Difference between the readings would be

7143-6997\\\\=146

So, there are 146 units used.

(B) Calculate the cost of the number of units used

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For the remaining i.e. 146-1400 = 46 units , cost =  16 p per unit

Total cost of the number of units used is given by

24\times 100+46\times 16\\\\=2400+736\\\\=3136\ p

Hence, a) 146 units used b) the cost of the number of units used is 3136 p.

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