Bc¯¯¯¯¯ is parallel to de¯¯¯¯¯. what is ab? enter your answer in the box.

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vladimir1956 [14]

Answer: 1.If two quadrilaterals are congruent, then there must be 4 pairs of corresponding sides. [C) is true]

2. Statement ∆KPT ≅ ∆KRT. [D) is true.]

3. If CDEF ≅ MNPQ, then ∠P ≅ ∠E [C) is true.]

4. If ∆LMC ≅ ∆BJK, then ∆MCL ≅ ∆JKB. [B) is true.]

5. If ABCDE ≅ LMNPQ, then there are 10 pairs of corresponding parts .

6. If ∠C ≅ ∠M, ∠E ≅ ∠Q, ED, ≅ QN,CD ≅MN and EC≅QM , then ∆CED ≅∆MQN [A) is true]

7. ∠B and ∠E will be a pair of corresponding parts if ∆ABC ≅ ∆DEF. [B) is true.]

8. B) is true.∆QPR ≅ ∆SPR

. [B) is true]

9. If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. [C) is true.]

10. If CDEF ≅ MNPQ, then ∠N ≅ ∠D. [C) is true.]

4 0

3 years ago

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

Nitella [24]

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

$h=-16t^2 + 36t + 10$ ......(1)

Part (a) :

The maximum height reached by the ball is given by :

$\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s$

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

$h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m$

7 0

3 years ago

Sudhir bought an almirah for RS 13600 and spent RS 400 on its transportation . He sold it for RS 16800 . find the his gain perce

oee [108]

Answer:

His gain percent is 20%

Step-by-step explanation:

In this question, we want to find the percentage gain of the business.

We need the following parameters;

The cost price which is the sum of the amount she bought the goods + the amount spent on transport

Using the values we have in the question;

The cost price will be;

13,600 + 400 = Rs 14,000

The selling price = Rs 16,800

Mathematically the percentage gain will be;

% gain = (selling price- cost price)/selling price * 100%

% gain = (16,800-14,000)/14,000 * 100/1

% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%

7 0

3 years ago

Translate point P(3,3) left 1 unit and up 4 units. What are the coordinates of the image P’?

ANTONII [103]

The coordinates would be (2,7) you just have to move 1 left 4 up

3 0

3 years ago

Solve the equation: 16 = 2x - 6

Tom [10]

the answer 11

Step-by-step explanation:

6+16=22

22÷2=11

6 0

3 years ago

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