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n200080 [17]
1 year ago
7

Suppose CM and DM intersect AB as shownAlison states < AMC + < CMD+ < DMB = < AMB which of the following justifies A

lison's statement?A. Angle Addition PostulateB. Segment Addition PostulateС. Construction of an Angle BisectorD. Definition of Supplementary Angles

Mathematics
1 answer:
aivan3 [116]1 year ago
4 0
Answer: D. Definition of Supplementary Angles

Explanations:

Note from the diagram shown that:

AMB forms a straight line

This means that < AMB = 180 degrees (Because sum of angles on a straight line is 180 degrees)

Also note that the sum of angles on a straight line is 180 degrees

< AMC + < CMD + < DMB = 180 (sum of angles on a straight line)

Since < AMB = 180

< AMC + < CMD + < DMB = < AMB

Since the above indicates that the sum of the angles add up to 180 degrees, they are supplementary angles.

Note that supplementary angles are angles that add up to 180 degrees

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Cassidy's diving platform is 6 ft above the water. One of her dives can
avanturin [10]

Answer:

Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface

Step-by-step explanation:

The height of Cassidy's diving platform above the water = 6 ft.

The equation that models her dive is d = x² - 7·x + 6

Where;

d = Her vertical position or distance from the water surface

x = Here horizontal distance from the platform

At Cassidy's maximum depth, we have;

dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0

x = 7/2 = 3.5

∴ At Cassidy's maximum depth, x = 3.5 ft.

The maximum depth, d_{max} = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25

The maximum depth, Cassidy went before coming back up to the surface = d_{max} = -6.25 ft = 6.25 ft. below the surface of the water.

8 0
2 years ago
Which statement best explains whether △JKL is congruent to △MNP?
Alchen [17]
Rotation of triangle JKL by 180 degrees will result in a triangle with corresponding vertices of (2, 4), (3, 2) and (-1, 2).

Then translating the resulting triangle 2 units up will result in a triangle with corresponding vertices (4, -2), (2, -3) and (2, 1) which is the same triangle as the given triangle MNP.

Therefore, the statement that best explains whether △JKL is congruent to △MNP is △JKL is congruent to △MNP because △JKL can be mapped to △MNP by a rotation of 180° about the origin followed by a translation 2 units up.
5 0
3 years ago
tickets for the school play cost $ 8 each for adults and $ 3 for students.what was the cost of 2 adult tickets and 1 student tic
olga nikolaevna [1]
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5 0
3 years ago
Greg is traveling north on a road while Peter is traveling south on the same road. They pass by each other at noon, Greg driving
max2010maxim [7]

40x+30x=315

70x=315

315/70= 4.5 hours

12:00 noon + 4.5 hours = 4:30 pm


5 0
3 years ago
What is wx?<br> PLEASEEEEEEEE HELPPPPP MEEEEEE
jeka57 [31]

Answer:

Since we already have UV ║TW, we can use Thales Theorem to calculate WX:

WX/WV = TX/UT

=> WX/12 = 39/26

=> WX = (12 . 39)/26 = 18

5 0
3 years ago
Read 2 more answers
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