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3 years ago

Find x if m ∠ GHI = 173°, m ∠ GHQ = 29 + x, and m ∠ QHI = x + 162.

Mathematics

1 answer:

Kamila [148]3 years ago

8 0

Answer:

Step-by-step explanation:

Given the following angles;

m ∠ GHI = 173°

m ∠ GHQ = 29 + x

m ∠ QHI = x + 162

The following expression is true for the three angles;

m ∠ GHI = m ∠ GHQ+ m ∠ QHI

substitute the given values into the formula and calculate x

173 = 29+x+x+162

173 = 29+162+2x

173 = 191+2x

2x = 173 - 191

2x = -18

x = -18/2

x = -9

Hence the value of x is -9

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Why does this system of equations have infinitely many solutions?

lapo4ka [179]

Step-by-step explanation:

I would say the one that says after eliminating a variable,the result is x=0

cause the zero can change into any number.

6 0

3 years ago

What is the median of the following string of values?<br> 55, 18, 58, 49, 8, 77, 62, 26, 7.11

LuckyWell [14K]

Answer:

The answer is 49 if we are to assume you meant 7.11 and not 7,11.

If you meant 7,11 - the answer is 28.5.

Step-by-step explanation:

If we are assuming you meant "7,11" and not "7.11", then we would start by removing the lowest and highest numbers from the list respectively, and repeating the process until you only have 1 or 2 numbers left.

Here are the pairs of numbers removed if we are assuming you meant 7.11;

7.11 / 77

8 / 62

18 / 58

26 / 55

We are left with 49, and that would be your median.

However, if we were to assume you meant 7,11, then we'd have to start over and repeat the process.

7 / 77

8 / 62

11 / 58

18 / 55

26 / 49 is our final answer; however we are not to assume this as we need a definite number. To resolve this, we would need to average the two numbers. To do this, we add them together and divide by how many numbers we added.

26 + 49 = 75.

75 / 2 = 28.5

Your median for this would be 28.5.

Hope this helps! Have a great rest of your day. :)

3 0

2 years ago

Read 2 more answers

Simplify 3 x (7 - 2) + 6

Gnesinka [82]

The answer is 21.

if u look at (7-2) that gives you 5 then 3x5 gives you 15 and then you add 15+6 to get your answer of 21.

8 0

3 years ago

Can someone help answer at least one? :) ty

Vika [28.1K]

Answer:

Step-by-step explanation:

a). Ratio of OP and RT = $\frac{OP}{RT}$

= $\frac{12}{3.6}$

= $\frac{10}{3}$

b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.

$\frac{OQ}{RS}=\frac{OP}{RT}$

$\frac{OQ}{4.5}=\frac{10}{3}$

OQ = $\frac{10\times 4.5}{3}$

OQ = 15 cm

c). m∠P = m∠T = 60°

d). m∠Q = m∠S

By applying angle sum theorem in ΔRST,

m∠R + m∠S + m∠T = 180°

26° + m∠S + 60° = 180°

m∠S = 180° - 86°

= 94°

Therefore, m∠Q = m∠S = 94°

3 0

3 years ago

Solve the system of linear equations. 3x−2y=1 9x−6y=3

irakobra [83]

Get the y by itself

-2y= -3x + 1

Divide -2 to everything

y= 3/2x - 1/2

Other equation (get y by itself)

-6y= -9x + 3
y=3/2x - 1/2

Use substitution

3/2x-1/2=3/2-1/2

0=0

All real numbers (any value of x makes the equation true)

8 0

3 years ago