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3 years ago

13

The steps to convert 23/4 to a decimal are shown below

1 answer:

Andrew [12]3 years ago

3 0

Answer:

23/4 = 5.75

Step-by-step explanation:

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Quadrilateral ABCD is a rectangle. BD = 6x - 14 and AC = 8x - 20. What is BD?

BigorU [14]

Answer:

4

Step-by-step explanation:

The diagonals are equal length:

$6x - 14 = 8x - 20\\-2x = -6\\x = 3$

$BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4$

8 0

3 years ago

Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

$base^2+perpendicular^2=hypotenuse^2$

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

3 0

3 years ago

What is the ratio of the length of one legto the length of the other leg

amm1812

1:1 is the ratio of the length of one leg to the length of the other leg

3 0

4 years ago

Math question down below

Dafna11 [192]

3.3 ft --- 1 m
11.4 ft --- x m

x = 11.4/3.3 ≈ 3.45 m

3 0

4 years ago

Read 2 more answers

Need help with this geometry question, solving for x and please explain the formula for this

Alborosie

Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.

3 0

3 years ago