Find the height of the palm tree below by using indicated dimensions and the properties of similar triangles.

From the set {30, 42, 84}, use substitution to determine which value of x makes the equation true.

andre [41]

Answer:

42

Step-by-step explanation:

The correct choice is marked.

If you follow instructions, you will compute the quotient for each value in the set:

2520 ÷ 30 = 84

2520 ÷ 42 = 60 . . . . . the value we're looking for (we need go no further)

2520 ÷ 84 = 30

__

The easier way to solve the problem is to multiply the equation by x/60, so you have ...

2520 ÷ 60 = x

Then, you're doing one division instead of two or three.

2520 ÷ 60 = 42 = x

4 0

3 years ago

Fill in your answers below with proper labels (words written out). Use π=3.14 Diameter = (number) (label in words) Radius = (num

il63 [147K]

Answer:

Step-by-step explanation:

Diameter:

A line passing through the center of the circle touching the circle at two points, is called diameter.

OR

The chord passing through the center is diameter.

It is double of the radius.

so,

Diameter = (2) (Radius of the circle)

Radius:

Diameter divided by 2.

OR half of the diameter is called radius.

So,

Radius = (1/2) (diameter of the circle)

Area of a circle:

Area of a circle =πr^2

Using π=3.14

Area ≈ (3.14) (radius squared)

Circumference of a cricle:

It is equal to 2πr

If π=3.14, then 2π=6.28

Circumference ≈ (6.28) (radius of the circle)

5 0

3 years ago

Lisa's score on the Stats midterm was 90 points. The class average was 76 and the standard deviation was 77 points. What was he

NemiM [27]

Answer:

as posted: 0.18182

more likely: 2.00

Step-by-step explanation:

z = (x -μ)/σ

... = (90 -76)/77 = 14/77 = 2/11

z ≈ 0.18182

_____

We know that cutting and pasting often results in numbers being unintentionally repeated, so your 77 may be intended to be 7. In that case, the z-score is

... z = (90 -76)/7 = 14/7

z = 2

3 0

4 years ago

Use the information below to find F such that triangle ABC is congruent with triangle DEF. A B equals 36, BC equals 24, D equals

enyata [817]

Answer: ∠F = 23° and EF = 24

Step-by-step explanation:

Since if two triangles are congruent,

Then, their corresponding sides and angles must be congruent.

Since, In Δ ABC and Δ DEF,

Sides AB, BC and CA are corresponding to sides DE, EF and FD respectively.

Also, ∠A, ∠B and ∠C are corresponding to ∠D, ∠E and ∠F respectively.

Therefore, If Δ ABC ≅ Δ DEF

⇒ AB ≅ DE , BC ≅ EF and CA ≅ FD

∠A ≅ ∠D, ∠B ≅ ∠E and ∠C ≅ ∠ F

But, It is given that AB = 36 and BC=24

Therefore, AB = DE = 36 and BC = EF = 24

Also, m∠B = 110° m∠D = 48°

⇒m∠E = 110° and m∠A = 48°

⇒m∠F = m∠C =180 - 158 = 23°

7 0

3 years ago

Is 2x+4 in lowest form?

BabaBlast [244]

Answer:

x+2 is the lowest turn

Step-by-step explanation:

2x+4 can be simplified into x+2

3 0

4 years ago