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3 years ago

Help me with this please I don’t understand

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

3 0

Answer: IT IS CONGRUENT BY ASA POSTULATE.

Step-by-step explanation:

ACCORDING TO THE GIVEN IMAGE

CONSIDER TRIANGLE 1 AS TRIANGLE ABC AND TRIANGLE 2 AS TRIANGLE PQR

IN TRIANGLE ABC AND PQR

ANGLE B = ANGLE C ( 90 DEGREES )

AC = PR ( GIVEN IN FIGURE )

A TRIANGLE HAS SUM OF INTERIOR ANGLES AS 180 DEGREES

IF ANGLE B AND ANGLE Q ARE 90 DEGREES, ANGLE A + ANGLE C = ANGLE P + ANGLE R

WE HAVE ALREADY PROVED THAT AC = PR

If two triangles have one angle equal to one angle, two sides adjoining the equal angles equal, namely, one side adjoining the equal angles, and one opposite the equal angles, and the remaining angles either both less or both not less than a right angle, then the remaining side equals the remaining side and the remaining angles equal the remaining angles.

SO ANGLE A = ANGLE P

THEREFORE BY ASA CONGRUENCY TRIANGLE ABC IS CONGRUENT TO TRIANGLE PQR

HOPE IT HELPS YOU......

(IF I HAVE MADE ANY MISTAKES PLS COMMENT BELOW)

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3 years ago

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3 years ago

Please. help. now. thanks. so. much.

Brut [27]

Answer:

318.395976 in

Step-by-step explanation:

The formula for the area of a square is A = s². s is the length of one side.

Solve the formula for area to find the length of a side.

A = s²

176 = s²

s = √176

s ≈ 13.266499 in

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4 years ago

A certain computer loses half of its value every two years. If the value of the computer after 3 years is 425, what was the init

IrinaVladis [17]

Answer:

1,700

Step-by-step explanation:

The computation of the initial value of the computer is shown below:

Let us assume the value of a certain computer in the first year is X

In the second year, it is $\frac{X}{2}$

In the third year, it is $\frac{X}{2}$

In the fourth year, it is $\frac{X}{4}$

Now it is given that after 3 years, the value of the computer is = 425 i.e equal to

$\frac{X}{4} = 425$

So, X = 1,700

Hence, the initial value of the computer is 1,700

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4 years ago

If the area of the rectangle below is 126 square meters, find the value of x.

amid [387]

Answer:

x = 5

Step-by-step explanation:

The area (A) o a rectangle is calculated as

A = lb ( l is length and b the breadth ), thus

x² + x - 12 × $\frac{x+9}{x-3}$ = 126 ← factor the quadratic

(x + 4)(x - 3) × $\frac{x+9}{x-3}$ = 126 ← cancel the common factor (x - 3)

(x + 4)(x + 9) = 126 ← expand factors using FOIL

x² + 13x + 36 = 126 ( subtract 126 from both sides )

x² + 13x - 90 = 0 ← in standard form

(x + 18)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 18 = 0 ⇒ x = - 18

x - 5 = 0 ⇒ x = 5

However x > 0 ⇒ x = 5

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4 years ago