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zubka84 [21]
3 years ago
11

In the fig. AD = DC and AB = BC. Prove that triangle ABD = triangle CDB​

Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

<u>Statement                        |   Reason</u>

AD = DC                           |   given

AB = CB                           |    given

BD = DB                           |   reflexive property

ABD = CDB                      |    side-side-side congruency theorem

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SIMPLIFY (4-74+7) A. 223 B. 9 27 C. 9+2/7 D. 9
sesenic [268]

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

(4-\sqrt{7})(4+\sqrt{7})

Difference of two squares property:

a^2-b^2=(a+b)(a-b)

Using the above property, the given expression can be written as

(4)^2-(\sqrt{7})^2

Applying square we get

16-7

9

Therefore the correct option is D.

6 0
3 years ago
Ann car can go 117 miles on 3 gallons of gas. During a drive last weekend, Ann used 8 gallons of gas. How far did she drive?
Nitella [24]

Answer:

Ann drove 312 miles in 8 gallons.

Step-by-step explanation:

Distance covered by Ann's car = 117 miles

Gallons of gas spent by Ann's car to cover 117 miles = 3 gallons

Unit rate = 117 miles / 3 gallons

               = 39 miles per gallon

so Ann's car can go 39 miles in one gallon of gas.

  • Given that Ann used 8 gallons of gas.

Therefore,

Distance covered by Ann's car in 8 gallons = 39 × 8

                                                                         = 312 miles

Therefore, Ann drove 312 miles in 8 gallons.

6 0
3 years ago
If an odd number of negative numbers are multiplied together, which of the following is true about their product?
aleksandrvk [35]

Answer:

it will be a positive number that is even

Step-by-step explanation:

this is because two negative numbers multiplied make a positive and two odd number multiplied make an even.

please leave a thanks if im correct

5 0
3 years ago
Which of the following sets are closed under multiplication? Select all that apply.
ivolga24 [154]

Answer:

Integers, whole numbers and polynomials are sets of closed under multiplication.

Only Irrational numbers are not the sets of closed under multiplication.                  

Step-by-step explanation:

To find : Which of the following sets are closed under multiplication?

1. Integers  

Yes, integers is a sets of closed under multiplication as if you multiply an integer by an integer, you will always get another  integer.

Example - 3\times 3=9 is an integer

2. Irrational numbers


No, irrationals are not closed under multiplication.

Example - \sqrt{3} \times \sqrt{3} =3 is a rational number

3. Whole numbers


Yes, whole numbers is a sets of closed under multiplication as if you multiply a whole number by a whole number, you will always get another  whole number.

Example - 5\times 5=25 is a whole number

4. Polynomials

Yes, polynomial is sets of closed under multiplication as if you multiply the variables' exponents are added, and the exponents in polynomials are whole numbers so the new exponents will be whole numbers.

Example - (x + 1)(x^2 + 4x + 3) = x^3 + 5x^2 + 7x + 3 is a polynomial.


4 0
3 years ago
Read 2 more answers
HELP ASAP!!!!!!!!!!!!!!!
kiruha [24]

Answer:

5.74 (rounded)

Step-by-step explanation:

4^2+b^2=7^2

16+b^2=49

-16 -16

b^2=33

√b=√33

b= about 5.74

6 0
2 years ago
Read 2 more answers
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