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3 years ago

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics

2 answers:

motikmotik3 years ago

7 0

Answer:

x = 52

Step-by-step explanation:

Since we know that all angles of a triangle add up to 190 degrees,

Angle RQS = 180 - 90 - 34

= 56 degrees

Angle PQS = 180 - 56 (Angles on a straight line add up to 180)

= 124 degrees.

Therefore, x + 72 = 124

x = 52

mina [271]3 years ago

7 0

Answer:

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite side

: 90° + 34° = x + 72°

x = 90° + 34° - 72°

x = 52°

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2 years ago

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Anybody knows all of them?

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Answer:

A, B, C, F, G

Step-by-step explanation:

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2 years ago

You have 8 times as many dimes as nickels. You have 18 dimes

fenix001 [56]

Answer:

$1.70

Step-by-step explanation:

Let the number of nickels be $x$ .

Thus, by the problem statement, the number of dimes is [/tex] 8 \cdot x = 8x. [/tex]

Therefore, there are $8x + x = 9$ coins in total. To find what $x$ is, we need to solve the equation $9x = 18.$ This can be done by dividing both sides by $9$ which gives $x=2$ . Plugging these values in tells us that there are $2$ nickels and $16$ dimes. (Test it out!) Thus, the nickels are worth $2 \cdot 5 = 10$ cents and the dimes are worth $16 \cdot 10 = 160$ cents, so in all, you have $10 + 160 = 170$ cents which is $1.70.