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Vladimir79 [104]
2 years ago
5

In the figure below, AD is the perpendicular bisector of CB. Based on this information, which other statement can be proven to b

e
true?
OA AB AC
OB. AB CB
OCAC CB
OD AD CB
A
C
D
B

Mathematics
2 answers:
velikii [3]2 years ago
6 0

Answer:

A.

Step-by-step explanation:

With the given information, triangles ABD and ACD can be proved congruent, and by CPCTC, segments AB and AC are congruent.

snow_tiger [21]2 years ago
5 0

Answer:

463833

expand

Medium

Solution

verified

Verified by Toppr

In △ABD and △ACD, we have

DB=DC ∣ Given

∠ADB=∠ADC ∣ since AD⊥BC

AD=AD ∣ Common

∴ by SAS criterion of congruence, we have.

△ABD≅△ACD

⇒AB=AC ∣ Since corresponding parts of congruent triangles are equal

Hence, △ ABC is isosceles.

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For the equation, 2x + 6 = 3x - 10, what is the solution
geniusboy [140]

Answer: x=16

Step-by-step explanation:

2x+6=3x-10

Subtract 6 on both sides

2x+6-6=3x-10-6

2x=3x-16

Subtract 3x on both sides

2x-3x=3x-16-3x

-x=-16

Divide -1 on both sides

\frac{-x}{-1}=\frac{-16}{-1}

x=16

7 0
3 years ago
Can someone answer these questions?? Thank you!!!
weqwewe [10]
9. -6xy+2xz
10. b(a-c-3d)
11. -3xy+xz-4xw
also i think that 8 is supposed to be a(10-13)
3 0
2 years ago
If f(x) = x2 − 81 and g(x) = x+9/x-9, find g(x) · f(x).
dexar [7]

Answer:

f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares

g(x) = x+9/x-9

g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)

= ( x + 9)(x +9)

= ( x + 9)²

= x² + 18x + 81

Hope this helps.

3 0
3 years ago
How to figure out pythagoras theorem?
Paladinen [302]

Any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

<h3>What is the Pythagoras Theorem?</h3>

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In △ABD and △ACB,

∠A = ∠A (common)

∠ADB = ∠ABC (both are right angles)

Thus, △ABD ∼ △ACB (by AA similarity criterion)

Similarly, we can prove △BCD ∼ △ACB.

Thus △ABD ∼ △ACB,

Therefore, AD/AB = AB/AC.

We can say that AD × AC = AB².

Similarly, △BCD ∼ △ACB.

Therefore,

CD/BC = BC/AC.

We can also say that

CD × AC = BC².

Adding these 2 equations, we get

AB² + BC² = (AD × AC) + (CD × AC)

AB² + BC² =AC(AD +DC)

AB² + BC² = AC²

Hence proved

Thus, any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Learn more about Pythagoras theorem from:

brainly.com/question/343682

#SPJ1

6 0
2 years ago
7: Jikayla earns $19 per hour babysitting. Last week, she worked 7 hours on Monday, 6 hours on Tuesday, and 7 hours on Wednesday
____ [38]

Answer:

$475

Step-by-step explanation:

7+6+7+5 = 25

25*19 = 475

6 0
3 years ago
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