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lord [1]
2 years ago
6

Short Proofs - No Triangle Congruence

Mathematics
1 answer:
Marat540 [252]2 years ago
3 0

Step-by-step explanation:

Given,

∠CBE ≅ ∠DBE ----> 1

∠CBE ≅ ∠BCA ----> 2

From 1 & 2,

∠BCA≅ ∠DBE ----> 3

∠DBE ≅ ∠BAC ----> 4

Reason,

Since BE II AC, corresponding angles are equal.

From 3 & 4,

∠BCA ≅ ∠BAC

BC is opposite to ∠BCA

AB is opposite to ∠ABC

Side opposite to congruent angles are always congruent.

Therefore,

AB ≅ BC

Hence proved.

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Semmy [17]

Answer:

1) View image attached

2) -3, -2.5, -1, 2, 5

3) -2.5

Step-by-step explanation:

1) Draw a number line, an image is shown below with the number line. You then put "points" on the values that you are plotting. This is also shown in the image attached.

2) The ones with the "-" are negative, meaning that they are below 0. These will always be smaller than those without a "-" sign. In addition to this, the way negative numbers work in terms of least to greatest is completely flipped. For example, -5 is greater than -10, and -10 is less than -5. If the numbers were positive, 5 would be less than 10 and 10 would be greater than 5.

3) The value that isn't an integer is the one that isn't a whole number. In those answer choices you gave, the only one with a decimal is -2.5 (as indicated by the ".5"

6 0
3 years ago
Translate triangle HIK 4 units to the right and 1 unit up.
Fiesta28 [93]
C because K is 1,-8 so if you go up 1, -7, and right 4,5. So you get k(5,-7)
4 0
3 years ago
The given line segment has a midpoint at (−1, −2).
Bas_tet [7]

Answer:

The given line segment has a midpoint at (−1, −2).

On a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

y = −4x − 4

y = −4x − 6

y = One-fourthx – 4

y = One-fourthx – 6

y = Three-halvesx + 1

8 0
4 years ago
Read 2 more answers
I earn 10 on January 1.
STALIN [3.7K]

answer by day seven you should have 55

6 0
4 years ago
Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24
Lynna [10]

Answer:

0.245

Step-by-step explanation:

The population proportion refers to the proportion of the total population. In the scenario above, the population proportion is the proportion of all adult population in the United States who are obese. Therefore the population proportion for the scenario is (24.5 / 100) = 0.245; which is the proportion of all adults in the United States who are obese.

8 0
3 years ago
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