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4 years ago

I NEED HELP ASAP WITH THIS QUESTION!!

Mathematics

2 answers:

grin007 [14]4 years ago

4 0

Acute (1st triangle on the left)

Obtuse

Right

Acute

kykrilka [37]4 years ago

3 0

Answer:

A) Acute

B) Obtuse

C) Right

D) Acute

Step-by-step explanation:

A) all angles less than 90, so acute

B) one angle more than 90, so obtuse

C) one angle 90, so right

D) all angles less than 90, so acute

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A family of 2 children and 1 adult visited an amusement park and paid an entry fee of $90. Another family of 3 children and 2 ad

stiks02 [169]

$\underline{\underline{\large\bf{Solution:-}}}\\$

$\leadsto$ Let us assume entry fee for child be x

$\leadsto$ Let us assume entry fee for adult be y

$\\$

$\longrightarrow$ Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -

$\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1)$

$\longrightarrow$ Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -

$\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2)$

Multiplying eq (1) by 2 it will be - 

$\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3)$

Subtracting eq(2) from eq(3) - 

$\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered}$

$\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered}$

Thus , entry fee for a child at the amusement park = $ 35

7 0

2 years ago

8 more than the quotient of a number and 2 is 14. find the number

wel

Answer:

x = 12

Step-by-step explanation:

x/2 + 8 = 14
Subtract 8 from both sides because it is the inverse operation of addition. x/2 = 6
Multiply both sides by 12 because it is the inverse operation of division. x = 12

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