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gizmo_the_mogwai [7]
3 years ago
12

1. Given △PQR≅△STU, m∠R=80°, and m∠S=70°, what is the measure of ∠Q?

Mathematics
2 answers:
Mamont248 [21]3 years ago
5 0
<span>1) Since â–łPQR is a triangle, all angles must add up to 180°. 180 - 80 - 70 = â Q â Q = 30° 2) (5x - 10) = (3x + 40) Combining terms, 2x = 50 so, x = 25 mâ AEB = (5x - 10) mâ AEB = 115°</span>
Oksana_A [137]3 years ago
4 0
1) i'm actually trying to find the answer to that same question 

2) All vertical angles add up to 360 so 360/2= 180 so <AEB is 180

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Darian and Kyle went to the Cinema and purchased nachos and chocolates. Kyle purchased two nachos and one chocolate ,while Daria
quester [9]

The amount of money Kyle paid is $25.

<h3>Determine the price of nachos and chocolates </h3>

Two simultaneous equations can be derived from the question:

3n + 3c = $45 equation 1

n = 2c equation 2

Where:

  • n = price of nachos
  • c = price of chocolate

In order to determine the price of chocolates, please substitute for n in equation 1.

3(2c) + 3c = $45

6c + 3c = $45

9c = $45

c = $45/9 = $5

In order to determine the price of nachos, please substitute for c in equation 2:

n = 2($5)

n = $10

<h3>Amount Kyle paid </h3>

2($10) + $5

$20 + $5

= $25

To learn more about simultaneous equations, please check: brainly.com/question/25875552

4 0
2 years ago
F(x)+x^2-3x-2x is shifted 4 units left. The result is g(x). What is g(x)
otez555 [7]

Answer:

g(x) = x² + 5x + 2

Step-by-step explanation:

If a function is f(x) = x²

And this function is shifted 4 units left then the rule to be followed is,

g(x) = f(x + 4)

Following the same rule,

For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,

g(x) = f(x + 4)

g(x) = (x + 4)² - 3(x + 4) - 2

      = x² + 8x + 16 - 3x - 12 - 2

      = x² + 5x + 2

Therefore, g(x) = x² + 5x + 2 will be the transformed function.

3 0
3 years ago
Give the name (monomial,<br> binomial, trinomial etc.) and<br> degree of the polynomial.<br> x + 2
Zielflug [23.3K]

Answer:

Step-by-step explanation:

x+2

degree is 1  

x^{1} +2

and has two terms so is a binomial

7 0
2 years ago
Point B is the center of a circle, and AC is a diameter of the circle. Point D is a point on the circle different from A and C.
seropon [69]

BA and BD are radii of the circle, so triangle ABD is isosceles. Then angles BDA and BAD are congruent, and the remaining (central) angle ABD has measure

m\angle ABD=(180-2\cdot20)^\circ=140^\circ

Angles ABD and CBD are supplementary, so

m\angle CBD=(180-140)^\circ=40^\circ

and the answer is E.

8 0
3 years ago
7. Which coordinate lies in the solution set for
Nana76 [90]

Answer:

The only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities.

Step-by-step explanation:

See the graph attached to this question.

The solution of the set of inequalities is given by the shaded region on the graph.

Now, the point (0,5) is outside this shaded region, hence it can not be the solution.

The point (3,0) also is outside this shaded region, hence it can not be the solution.

The point (-3,0) also is outside this shaded region, hence it can not be the solution.

Now, the only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities. (Answer)

6 0
3 years ago
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