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2 years ago

Which Theroms can be used to determine that the triangles are congruent

Mathematics

1 answer:

Ivanshal [37]2 years ago

6 0

Answer:

SAS

Step-by-step explanation:

side GF is shared.

angles between the sides, ∠EGF ≅ ∠HFG because they are corresponding congruent angles

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

3 years ago

Twice the quantity b plus 9

mojhsa [17]

Answer:

2b+9

Step-by-step explanation:

Twice the quantity b is 2*b = 2b

...and then you add 9 which is:

2b+9

5 0

2 years ago

Can anybody help me solve this? You must solve for X first. I will mark as brainliest if there is an explanation.

masha68 [24]

Answer:

106 degrees

Step-by-step explanation:

Since all the angles add up to 360 degrees we can find the value of x first and then substitute that value into angle VUX (12x+10)

11x + 1 + 12x + 10 + 75 + 90 = 360

23x + 176 = 360

23x = 184

x = 8

when x = 8,

<VUX = 12x + 10 = 12(8) + 10 = 106 degrees

8 0

3 years ago

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Draw and label point W. Draw and label line XY. Draw and label a plane K

mafiozo [28]

Answer:

b a pex

Step-by-step explanation:

3 0

3 years ago

Im not sure of how to solve these,any help? :<br><br> 2x-5>x-2

777dan777 [17]

$2x-5>x-2\ \ \ \ \ \ \ \ \ |unknowns\ on\ the\ left\\\\2x-x>-2+5\\\\x>3\\\\x\in(\infty,3)$

5 0

2 years ago

Read 2 more answers

Which Theroms can be used to determine that the triangles are congruent ​

Which Theroms can be used to determine that the triangles are congruent