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pogonyaev
4 years ago
13

What is the value of x given that figure ADCB

Mathematics
2 answers:
aleksley [76]4 years ago
6 0

Answer:

Step-by-step explanation:

Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.

ACD = BDC          Properties of parallel lines.

DC = DC               A line is equal to itself

DBA = CAB           Property of parallel lines.

AC = DB                Parts of Congruent triangles are congruent

3x + 15 = 7x - 9     Add 9 to both sides

3x + 15 + 9 = 7x

3x + 24 = 7x          Subtract 3x from both sides.

24 = 7x - 3x

24 = 4x                  Divide by 4

24/4 = 4x/4

x = 6

Eduardwww [97]4 years ago
4 0

Answer: 6

Step-by-step explanation:

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Paul sellers was paid a biweekly salary of 1230. Now he’s paid on a semimonthly basis. What will Seller’s semimonthly salary be
Anvisha [2.4K]
1230×2=2460

2460×4=9840

9840÷2=4920
4 0
3 years ago
Please help if you know how to do this type of math! :)
VashaNatasha [74]
It's just a tiny bit sloppy. The 10.2 cm should be designated with a right angle too. I'll answer it that way.

Area = (L1 + L2)*h/2
L1 = 10.2
L2 = 12.2
h = 12.6 
all givens are in cm.

Area = (10.2 + 12.2)*12.6/2
Area = 22.4 * 6.3
Area = 78.12 cm^2
3 0
4 years ago
For f(x)=2-x and g(x)=4x^2+x+6, find (f×g)(x)
Dima020 [189]

Answer:

Our composed function is f(g(x)) = -4x^2-x-4.

Step-by-step explanation:

We are given two separate functions:

f(x) = 2-x

g(x) = 4x^2 + x + 6

We need to find the composition of (f \cdot g)(x). This is literally stating "f of g of x."

Therefore, we simply plug g(x) into f(x) and solve. We replace the x-value in the f(x) function with the entirety of the g(x) function and simplify.

f(g(x)) = 2 - (4x^2+x+6)\\\\f(g(x)) = 2 - 4x^2 + x + 6\\\\f(g(x)) = -4x^2 - x - 4

Our composed function is f(g(x)) = -4x^2-x-4.

6 0
3 years ago
One angle of an isosceles triangle measures 42°what other angles could be in that triangle 42°
disa [49]
In isosceles triangles, all angles = 180 degrees and two angles are the same.

Therefore, the two remaining angles equal 69 degrees

180 - 42 = 138
138/2 = 69
3 0
3 years ago
I'll mark the correct answer brainliest!
sveta [45]

The perimeter of the larger octagon would be 238 units. This is because the given side is multiplied by 7, so if you do this to all sides and then add them up, you get 238. To check, you can divide 238 by 34 and get 7.

6 0
3 years ago
Read 2 more answers
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