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3 years ago

CAN SOMEONE HELP WITH THE QUESTION IN THE IMAGE.

Mathematics

1 answer:

levacccp [35]3 years ago

6 0

Answer:

8.4

Step-by-step explanation:

Since the four horizontal lines are parallel, they each form congruent corresponding angles with the transversal line SP. Since PQ = QR = RS, that means the vertical distances between the parallel lines is equal.

Since the parallel lines are equally spaced, and form congruent angles with the transversal line TU, then TX = XZ = ZU = 2.8.

So the length of TU is 2.8 + 2.8 + 2.8 = 8.4.

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4 years ago

What is the reason for Statement 3 of the two-column proof?

Ivenika [448]

Refer to the attached image.

Given:

The measure of $\angle JMK= 52^\circ$ and $\angle KML= 38^\circ$ .

Also, Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.

To Prove: $\angle JML$ is a right angle.

Proof:

Statements Reasons

1. $m \angle JMK=52^\circ$ Given

2. $m \angle KML=38^\circ$ Given

3. $m \angle JMK+m \angle KML=m \angle JML$

The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.

4. $52^\circ+38^\circ = m \angle JML$ Substitution property of equality

5. $90^\circ = m \angle JML$ Simplification

6. $\angle$ JML is a right angle. Definition of right angle

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4 years ago

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Dominik [7]

Answer:

2.5

Step-by-step explanation:

The minimum value is the minimum y-value a function includes. In this case, since you can see the function is periodic (it repeats itself <em>periodically</em>, hence periodic) and the smallest y-value the function encounters is 2.5 (doesn't go below this value), the minimum y-value is 2.5. I hope this made sense. If not, feel free to let me know.

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2 years ago