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3 years ago

in triangle ABC, the measure of angle Aequals 50 degrees. which is true about the measure of angle C?

Mathematics

2 answers:

SpyIntel [72]3 years ago

4 0

Answer:

And....what are the options? or are we suppose to know answer that?

Serggg [28]3 years ago

4 0

Answer:

could you add the options pls

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3) x2+ y2 - x + 3y - 42 = 0<br> X+y=4

REY [17]

The solution is $(-1,5)$ and $(7,-3)$

Step-by-step explanation:

The expression is $x^{2} +y^{2} -x+3y-42=0$ and $x+y=4$

Using substitution method we can solve the expression.

Let us substitute $x=4-y$ in $x^{2} +y^{2} -x+3y-42=0$

$(4-y)^{2} +y^{2} -(4-y)+3y-42=0$

Expanding and simplifying the expression, we get,

$\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}$

Let us use the quadratic equation formula to solve this equation,

$\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}$

Thus, $y=5$ and $y=-3$

Substituting y-values in the equation $x+y=4$ , we get the value of x.

For $y=5$ ⇒ $x=4-5=-1$

For $y=-3$ ⇒ $x=4+3=7$

Thus, the solution set is $(-1,5)$ and $(7,-3)$

7 0

3 years ago

What value does "h" have in this equation for this to be an infinite solutions equation. 6 (hx + 5) + 4 = -4(8 - 4(8 – 18x) 18x)

Sever21 [200]

We have the following:

$6(hx+5)+4=-4(8-18x)+66$

A system of linear equations has infinite solutions when the graphs are exactly the same line.

for this to happen, on both sides the value of x must be equal:

$\begin{gathered} 6\cdot h=4\cdot18 \\ h=4\cdot\frac{18}{6} \\ h=12 \end{gathered}$

replacing:

$\begin{gathered} 6\cdot(12x+5)+4=-4\cdot(8-18x)+66 \\ 72x+30+4=-32+72x+66 \\ 7x+34=7x+34 \\ 0=0 \\ \text{true for all x} \end{gathered}$

4 0

1 year ago

Which set of numbers is correctly ordered from greatest to least?

Nina [5.8K]

Answer:

It's D.

Step-by-step explanation:

Convert each number to decimal format.

It is option D , if we convert as above we get

7.36799, 7.36666.., 7.363636.., 7.33333..

4 0

3 years ago

Read 2 more answers

The graph below shows the solution set of which inequality?

lakkis [162]

I hope this helps you

6 0

3 years ago

If Joe drives 186.83 miles on a business trip, and the reimbursement from his company is $13.08. At what rate is Joe's employer

kirill115 [55]

Answer:

7 cents/mile

Step-by-step explanation:

You are looking for a unit rate of cents per mile.

Change the dollar amount to cents, and divide by the number of miles.

$13.08 * (100 cents)/$ = 1308 cents

(1308 cents)/(183 miles) = 7.001 cents/mile

8 0

3 years ago