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Step2247 [10]
3 years ago
13

Suppose that △ OPQ is isosceles with base QP . Suppose also that m ∠ O = (5x + 43) ° and m ∠ Q = (3x + 30) ° . Find the degree m

easure of each angle in the triangle.
Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

Answer:

Measure of O: 78 degrees

Measure of Q: 51 degrees

Measure of P: 51 degrees

Step-by-step explanation:

If it has base QP, then angles Q and P are equal, so we now have the measure of angle P: It is the same as Q! This is also 3x + 30, so now we have 5x + 43 + 3x + 30 + 3x + 30 = 180, or 11x + 103 = 180, so 11x = 77, and x = 7. Plug these back in to get O = 78, Q = 51, and P is 51.

You might be interested in
Which relationship describes angles 1 and 2?
jasenka [17]

Answer:

vertical

Step-by-step explanation:

just vertical

7 0
3 years ago
Allison needs 18 liters of 5% saline solution . She has a 1% solution available. How many liters of the 1% solution and how many
professor190 [17]

Answer:

10 litres of 1% solution and 8 litres of 10% solution

Step-by-step explanation:

Let vol of 1% solution = x

So vol of 10% solution = 18 - x

5% of 18 litres = 0.9

Equation formed is

<h3>x * (1/100) + (18 - x)*(10/100) = 0.9</h3>

x + (18 - x)10 = 0.9 * 100

x + 180 - 10x  = 90

-9x = 90 - 180

-9x = -90

 x = 10 litres

<h3>10 litres of 1% solution and 8 litres of 10%</h3>

3 0
4 years ago
AHHHHHHHHHHHHHHHHHHHH
SIZIF [17.4K]

Answer and Step-by-step explanation:

THE QUESTION IS NOT FROM A QUIZ, IT IS FROM A HOMEWORK ASSIGNMENT.

<u>The unit rate is D. $4.00 per pound.</u>

This is because we see on the graph that at 1 pound of fudge, the cost is 4 dollars.

When looking at the unit rate, you want to look at y value for when x is 1.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

6 0
3 years ago
Five yards of material is needed to make
Mkey [24]

Answer:

The y-coordinate would be 17.5

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

y ----->material needed in yards

x ----> number of curtains

we know that

For y=5, x=2

Find the value of the constant of proportionality k

k=y/x

substitute the given values of x and y

k=\frac{5}{2}=2.5

The linear equation is equal to

y=2.5x

If the x-coordinate was 7

then

substitute in the equation x=7 and solve for y

y=2.5(7)

y=17.5

therefore

The y-coordinate would be 17.5

6 0
3 years ago
X+4/x-1 divided by x^2 +x/x-1<br> 3/2x-1 subtract by 5/2x-1 <br> how do you do them
ElenaW [278]
\frac{x + 4}{x - 1} / \frac{x^{2} + x}{x - 1} = \frac{x + 4}{x - 1} * \frac{x^{2} + x}{x - 1} = \frac{(x + 4)(x^{2} + x)}{(x - 1)(x - 1)} = \frac{x^{3} + x^{2} + 4x^{2} + 4x}{x^{2} - x - x + 1} = \frac{x^{3} + 5x^{2} + 4x}{x^{2} - 2x + 1} = x + 7 + \frac{17x - 7}{x^{2} - 2x + 1}

\frac{3}{2x - 1} - \frac{5}{2x - 1} = -\frac{2}{2x - 1}
6 0
3 years ago
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