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Andre45 [30]
4 years ago
8

Lynn began the month with 1450 in her savings account she deposited 120 and 340 she transferred 845 to another account what is L

ynn’s closing balance?
Mathematics
1 answer:
o-na [289]4 years ago
8 0
1450+120+340-845= 1065
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Given: △ABC, BC>AC, D∈ AC , CD=CB Prove: m∠ABD is acute
nevsk [136]
I want you to imagine as you read this or you can draw through the help of my explanation and see yourself:

1↪Draw triangle ABC where BC>AC

2↪D is any point on AC such that CD=CB

3↪Roughly drawing , you can assume CD=CB and and join BD

4↪SO triangle ABC which is a big triangle is divided into Triangles ABD and BDC

5↪See in triangle BDC ,CD=CB so, base angles of isosceles triangle are equal:
<CDB=<CBD = x (assume) which means x is acute angle since CDB and CBD are are in same triangle with same measure and there can't be any two obtuse angle in any traingle. So x must be acute.

6↪Now see in traingle ABD,

<ADB=180-<CDB=180-x=obtuse angle
...check yourself ...just subtract any acute angle from 180 you will get only obtuse angle (ie angle greater than 90)
That means in triangle ABD , one angle ADB is obtuse which means remaining <ABD and < BAD are acute. [PROVED]

❇Main Concept Used Here:
↪In any triangle there can be maximum of one obtuse angle...so remaining two must be acute angle otherwise interior angles sum can't be equal to 180.
5 0
3 years ago
I need help.........
Y_Kistochka [10]
A=w*L
Frame A=16*22
Portrait A=12*18
Subtract 352 from 216
The area of the frame is 136in^2.
5 0
3 years ago
The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l
miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

3 0
3 years ago
What are the prime factorization of 2100 in exponential form
Mama L [17]
2100|2
1050|2
  525|3
  175|5
    35|5
     7|7
     1|

2100 = 2 × 2 × 3 × 5 × 5 × 7 = 2² × 3 × 5² × 7
5 0
4 years ago
Read 2 more answers
Simplify. Remove all perfect squares from inside the square root. 12 = 12 ​
Elena L [17]

Answer:

Removing the perfect square 4 in 12 we get 2√3

Step-by-step explanation:

The square root of 12 is

√12 = √(4 x 3)

√12  = 2√3.

There's no special trick here, but it's usually easy to check whether a small number is divisible by 4. Keep this in mind when looking for factors.

Removing the perfect square 4 in  the square root of 12 we get 2√3.

Here 4 is a perfect square it can be written as

√4 =√2^2

√4 =2

4 0
3 years ago
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