3 years ago

Choose the equation that represents the graph below:

Mathematics

1 answer:

ehidna [41]3 years ago

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Y=x+3 because when x=0 y=3

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In the diagram below, we have ST parallel to QR. angle P= 40 degrees, and angle Q= 35 degrees. Find the measure of angles STR in

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Answer:

$m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ$

Step-by-step explanation:

<u>Similar Triangles</u>

Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.

Considering the triangle PQR, the sum of its internal angles must be 180°:

$m\angle P + m\angle Q + m\angle R = 180^\circ$

Substituting the known values:

$40^\circ + 35^\circ + m\angle R = 180^\circ$

Solving for R:

$m\angle R = 180^\circ - 40^\circ - 35^\circ$

$m\angle R = 105^\circ$

Angles S and Q are congruent, thus

$m\angle S = 35^\circ$

Angles T and R are congruent, thus

$m\angle T = 105^\circ$

Summarizing:

$\mathbf{m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ}$

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. Determine whether the vectors (5, −2, 4), (2, −3, 5), and (4, 5−

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Solve the simultaneous equations by substitution 3 x − 7 y = − 10 x = 5 y + 2

mojhsa [17]

Answer:

$3x-7y=-10_{(1)} \\x=5y+2_{(2)}\\$

Substituting Equation 2 into equation 1

$3(5y+2)-7y=-10_{(3)} \\15y+6-7y=-10\\15y-7y+6=-10\\8y+6=-10\\8y=-10-6\\8y=-16\\y=\frac{-16}{8} \\y=-2\\$

Substitute the value of y into Equation 2

$x=5y+2\\x=5(-2)+2\\x=-10+2\\x=-8\\$

Therefore x=-8, y=-2

Step-by-step explanation:

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HELPPP!! PLZ COMMENT THE ANSWERS FOR THE BOXES!

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