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3 years ago

A. It is not possible to determine if the triangles are congruent

Mathematics

1 answer:

kirill [66]3 years ago

4 0

Answer:

C. ∆ABD ≅ ∆CBD by the SSS Postulate

Step-by-step explanation:

We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.

The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.

From the diagram shown,

AB ≅ CB,

AD ≅ CD

BD = BD

We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.

Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate

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(-2,3)

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2 years ago

**A rock dropped from a 100 foot tower.

mars1129 [50]

Answer:

2.83 s

Step-by-step explanation:

We are given that

$h(t)=-16t^2+10t+100$

When a rock reached the ground then h(t)=0

$-16t^2+10t+100=0$

$16t^2-10t-100=0$

Using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$t=\frac{10\pm\sqrt{(-10)^2-4\times 16\times (-100)}}{2(16)}$

$t=\frac{10\pm\sqrt{100+6400}}{32}$

$t=\frac{10+\sqrt{6500}}{32}=2.83$

$t=\frac{10-\sqrt{6500}}{32}=-2.2$

Time cannot be negative .Therefore, negative value of t can not be possible.

Hence, the rock takes 2.83 sec to reach the ground.

8 0

3 years ago

If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?

vesna_86 [32]

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

$(x, y)\rightarrow(x-4,y+3)$

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

→ B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

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2 years ago

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Answer:

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2 years ago

Tammy's fish tank has 19 liters of water in it. She plans to add 4 liters per minute until the tank has more than 47 liters. Wha

romanna [79]

Answer:7 mins

Step-by-step explanation:

47 minus 19 equals 28 4 times 7 equals 8

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2 years ago