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2 years ago

14

Help me understand how to do this

2 answers:

wariber [46]2 years ago

5 0

We know that the two angles are congruent (equal in measure), so we take the written out descriptions of the angles and convert them to equations that we set equal to each other.

"Three more than twice a number" = 2x + 3

"54.5 less than three times the number" = 3x - 54.5

2x + 3 = 3x - 54.5

Add 54.5 to both sides

2x + 57.5 = 3x

Subtract 2x from both sides

57.5 = x

Now we plug in 57.5 in the original equations to get the measure of each angle.

2(57.5) + 3 = 118 degrees

3(57.5) - 54.5 = 118 degrees

As we already knew, the angles are congruent.

P.S.: Nowhere in the prompt does it say anything about a triangle, just that we have a pair of congruent angles. Be sure to read each prompt carefully.

NeTakaya2 years ago

4 0

U need the law of cosines and heron's formula

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BabaBlast [244]

Answer:

4th one

Step-by-step explanation:

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2 years ago

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Graph the linear equation using the slope and y-intercept.<br> Y=4X+3

JulsSmile [24]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have y = 4x + 3

m = 4 - slope

3 - y-intercept

$m=\dfrac{\Delta Y}{\Delta x}\to4=\dfrac{4}{1}$

4 units up and 1 unit right

7 0

3 years ago

last night, julie's pet hamster zoe kept julie awake for at least an hour running on her exercise wheel and scratching at the co

borishaifa [10]

Answer: $x+y\geq 1$ , $x>\frac{1}{4}$ , $x\geq 2y$ and $y\geq 0$

Step-by-step explanation:

Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.

Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.

⇒ $x+y\geq 1$

She ran on her wheel at least twice as long as she scratched at the corners of her cage.

⇒ $x\geq 2y$

Also, She spent more than 1/4 hour running on her wheel.

⇒ $x>\frac{1}{4}$

And, we know that number of hours can not be negative.

⇒ $y\geq 0$

Therefore, the complete system of inequality which shows the given situation is,

$x+y\geq 1$ , $x>\frac{1}{4}$ and $x\geq 2y$ , $y\geq 0$

Note: the feasible region ( covered by the given system) is shown in the below graph.

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2 years ago

If m∠4 = 35, find m∠2. Explain.

Bad White [126]

Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

Triangle CAB is a right triangle.

Therefore, m∠1 = 90°

Similarly, m∠ACD = 90°

m∠ACD = m∠ACB + m∠BCD = 90°

= m∠3 + m∠4 = 90°

Since m∠4 = 35°,

m∠3 + 35° = 90°

m∠3 = 90° - 35°

= 55°

In the triangle ABC,

m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]

m∠3 + m∠2 + m∠1 = 180°

55° + m∠2 + 90° = 180°

m∠2 + 145° = 180°

m∠2 = 180° - 145°

= 35°

Since, AB║CD and BC is a transverse,

Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]

Option (1) is the correct option.

4 0

2 years ago

If the vertex of f(x) is (0,3), what is the vertex for 3×f(x-2)? Explain please.

katen-ka-za [31]

Vertex of $3f(x-2)$ is $(0-2,3\cdot3)=(-2,9)$

8 0

3 years ago

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