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2 years ago

Which postulate can be used to prove that ABD and CBD are congruent given that BD and AC and BD bisects AC

Mathematics

1 answer:

laila [671]2 years ago

8 0

Answer:

SAS

Step-by-step explanation:

Here we are given two situations:

BD⊥AC

This indicates that angle ADB and CDB are 90 degrees.

Aso we are given that BD bisects AC.

This indicates that AD=DC

So in triangles ADB and CDB , we have

BD=BD (common) (Side)

angle ADB= angle CDB (Angle)

AD=DC (side)

So the two triangles are congruent by SAS congruency.

You might be interested in

Tell whether the equation has the ordered pair as a solution y=6x; (-7,-42)

Ber [7]

Answer:

Yes

Step-by-step explanation:

Substituting in x = -7, we get y = 6(-7) = -42, which is the same as the y coordinate of the given point.

3 0

1 year ago

Suppose that a school has 20 classes: 16 with 25 students in each, three with 100 students in each, and one with 300 students, f

astraxan [27]

Answer

a) y | p(y)

25 | 0.8

100 | 0.15

300 | 0.05

E(y) = ∑ y . p(y)

E(y) = 25 × 0.8 + 100 × 0.15 + 300 × 0.05

E(y) = 50

average class size equal to E(y) = 50

b) y | p(y)

25 | $\dfrac{16\times 25}{1000}=0.4$

100 | $\dfrac{3\times 100}{1000}=0.3$

300 | $\dfrac{1\times 300}{1000}=0.3$

E(y) = ∑ y . p(y)

E(y) = 25 × 0.4 + 100 × 0.3 + 300 × 0.3

E(y) = 130

average class size equal to E(y) = 130

c) Average Student in the class in a school = 50

Average student at the school has student = 130

5 0

3 years ago

Lily earned 317 pokemon go points. Sophia earned 25 times the amount of points lily earned. How many points did sophia earn?

pickupchik [31]

First of all this question is awesome.

second 317 x 25 = 7925

Be sure to give me a thanks and rate me 5 stars :D

5 0

3 years ago

Read 2 more answers

Expand and simplify 5(2x-1)-2(3x+2)

kupik [55]

Answer:

4x - 9

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

5(2x - 1) - 2(3x + 2)

Step 2: Solve for x

Distribute: 10x - 5 - 6x - 4
Combine like terms (x): 4x - 5 - 4
Combine like terms (Z): 4x - 9

6 0

2 years ago

I know only one answer whats the other one help me image-

miv72 [106K]

Answer:

A. 4(4a + 18)

B. 8(2a + 9)

Step-by-step explanation:

We know that :

16a = 4×4×a

72 = 4×18

Then

16a + 72 = 4×(4a) + 4×(18)

= 4 × (4a + 18)

On the other hand,

16a = 8×2×a

72 = 8×9

Then

16a + 72 = 8×(2a) + 8×(9)

= 8 × (2a + 9)

7 0

1 year ago