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2 years ago

11

Mr. Smith wants to build a rectangular gate with a diagonal as support. If the width and height are 4 ft and 3 ft respectively,

what is the length of the support?

1 answer:

frutty [35]2 years ago

6 0

Answer:

5 feet :)

Step-by-step explanation:

You might be interested in

What is the midpoint of line segment AB?

Elza [17]

Answer

Midpoint = (3, 5.5)

Step by step explanation

Here we have to use the midpoint formula.

Midpoint = ( $\frac{x1 + x2}{2} , \frac{y1 + y2}{2} \\$ )

Here the point A = (-1, 8) and B = (7, 3)

x1 = -1, y1 = 8, x2 = 7 and y2 = 3

Now plug in these values into the formula.

Midpoint = ( $\frac{-1 + 7}{2} , \frac{8 + 3}{2}$

= (6/2, 11/2)

= (3, 5.5)

Therefore, the midpoint the line segment AB is (3, 5.5)

Thank you.

8 0

3 years ago

Read 2 more answers

If there is more then more solution, separate them with commas.)<br> (2x + 9)(3-z) = 0

bagirrra123 [75]

Answer:

Step-by-step explanation:

hello :

(2x + 9)(3-z) = 0 means : 2x+9=0 or 3-z=0

x= -9/2 or z=3

3 0

3 years ago

How do I do the problem 6(n+4)-4

Naddik [55]

Answer:

3n+10

Step-by-step explanation:

6(n+4)-4

PEMDAS

start with parenthesizes

6 x n = 6n

6 x 4 = 24

so we have

6n+24-4

subtract the 4

6n+20

simplify by dividing by common factor

6n/2 =3n

20/2 =10

3n+10

6 0

3 years ago

Given: measure of angle KJ = 124°, measure of IC =38°<br><br> Find: m∠CQJ, m∠LIJ.

VLD [36.1K]

Answer:

Part 1) $m$

Part 2) $m$

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

$m$

$arc\ IK+arc\ CJ=360\°-(arc\ IC+arc\ KJ)$

substitute the values

$arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°$

$m$

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

$m$

substitute the values

$m$

step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

$m$

substitute the values

$m$

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

$m$

substitute the values

$m$

$m$

3 0

3 years ago

The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is 5:3. Find the lengths of the sides of

Natalka [10]

The measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches

Let x = length of base and leg

The formula for perimeter of isosceles trapezoid is P = b₁ + b₂ + 2(leg)
Where: b = base

   P = b₁ + b₂ + 2(leg)
   28 = 3x + 5x + 2(x)
   28 = 8x + 2x
28/10 = 10x/10
2.8 = x

Now, substitute the values:
     P = b₁ + b₂ + 2(leg)
   28 = 3(2.8) + 5(2.8) + 2(2.8)
28 = 8.4 + 14 + 5.6
28 = 28

Hence the measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches

8 0

2 years ago