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Olegator [25]
4 years ago
7

Using the linear combination method what is the solution to the system of linear equations 7x - 2y = -20 and 9x + 4y = -6

Mathematics
1 answer:
Ghella [55]4 years ago
8 0

x should equal -2 and y should equal -3 to solve this i multiplied the first equation by 2 then got rid of the 4y and -4y then i added the 14x to the 9 equaling 23x and added the -40 to the -6 which became 23x=-46 i solved this getting -s for x, then i plugged that into the equations to get y which was -3

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The area of a square is 72.25 inches squared. Find the length of the side and the perimeter.
Nadya [2.5K]

Answer:

8.5 inches and 34 inches

Step-by-step explanation:

Area of the square = 72.25

side² = 72.25

side = \sqrt{72.25}

Side = 8.5 in

Perimeter = 4 × side

Perimeter = 4 × 8.5 in

Perimeter = 34 in

6 0
3 years ago
The measures of the angles of a triangle are ∠A = (2x)°, ∠B = (x+14)°, ∠C = (x−38)° Determine the value of x. Determine A B and
nexus9112 [7]

Answer:

Step-by-step explanation:

Measures of angles are,

m∠A = (2x)°

m∠B = (x + 14)°

m∠C = (x - 38)°

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

2x + (x + 14) + (x - 38) = 180

(2x + x + x) + (14 - 38) = 180

4x - 24 = 180

4x = 204

x = 51

m∠A = 2(51)° = 102°

m∠B = (51 + 14)° = 65°

m∠C = (51 - 38)° = 13°

4 0
3 years ago
8 15 27 blank 20 find the blank number​
777dan777 [17]

Answer:

the blank number is 23

Step-by-step explanation:

8, 15, 27, x, 20

common ratio, r= T2÷ T1= T3÷ T2

= 15 ÷ 8 =27÷ 15

= 1.8 = 1.8

20 ÷ x = x ÷ 27

( cross multiply,)

x²= 540

x =√540

x = 23.24

x = 23

6 0
3 years ago
Simplifique a expressão 10ny-10x+10ny+10y
IRISSAK [1]

Responder:

10 (2ny- (x-y))

Explicación paso a paso:

Dada la expresión 10ny-10x + 10ny + 10y, para simplificar la expresión, se deben seguir los siguientes pasos;

Paso 1; Separa la expresión en términos similares

= 10ny-10x + 10ny + 10y

= (10ny + 10ny) - (10x + 10y)

Paso 2: Factoriza los valores comunes en ambos paréntesis

10ny (1 + 1) - 10 (x-y)

= 10ny (2) - 10 (x-y)

= 20ny - 10 (x-y)

Factoriza nuestro valor común en ambos términos:

= 10 (2ny- (x-y))

3 0
3 years ago
In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two tr
Deffense [45]

XZ ≅ EG and YZ ≅ FG is enough to make triangles to be congruent by HL. Option b is correct.

Two triangles ΔXYZ and ΔEFG, are given with Y and F are right angles.

Condition to be determined that proves triangles to be congruent by HL.

<h3>What is HL of triangle?</h3>

HL implies the hypotenuse and leg pair of the right-angle triangle.

Here, two right-angle triangles ΔXYZ and ΔEFG are congruent by HL only if their hypotenuse and one leg are equal, i.e. XZ ≅ EG and YZ ≅ FG respectively.

Thus, XZ ≅ EG and YZ ≅ FG are enough to make triangles congruent by HL.

Learn more about HL here:

brainly.com/question/3914939

#SPJ1

In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two triangles are congruent by HL?

A.

XZ ≅ EG and ∠X ≅ ∠E

B.

XZ ≅ EG and YZ ≅ FG

C.

XZ ≅ FG and ∠X ≅ ∠E

D.

XY ≅ EF and YZ ≅ FG

8 0
2 years ago
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