All categories

2 years ago

Determine the unknown side of the similar triangle. A) 2 B) 3 C) 4 D) 5

1 answer:

5 0

4 is correct. Set up a ratio relationship between similar triangles. $\frac{x}{6} = \frac{8}{12} ; x = \frac{48}{12} ; x = 4$

You might be interested in

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

weqwewe [10]

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.

Answer:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \angle R = 128.57 ^{\circ}$

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: $\angle D = \frac{5}{2}\angle Y$

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

$\angle D = \angle R = \frac{5}{2}\angle Y$

and

$\angle G = \angle Y$

The sum of angles is given as:

$\angle D + \angle G + \angle R + \angle Y=360^{\circ}$

Substitute values for $\angle D, \angle G \ \& \angle R$

$\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}$

Take LCM

$\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}$

$\frac{14\angle Y}{2}= 360^{\circ}$

Multiply both sides by $\frac{2}{14}$

$\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}$

$\angle Y= 360^{\circ} * \frac{2}{14}$

$\angle Y= \frac{ 360^{\circ} *2}{14}$

$\angle Y= \frac{720^{\circ}}{14}$

$\angle Y= 51.43 ^{\circ}$

So:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \frac{5}{2}\angle Y$

$\angle D = \frac{5}{2} * 51.43^{\circ}$

$\angle D = \frac{5* 51.43^{\circ}}{2}$

$\angle D = \frac{257.15^{\circ}}{2}$

$\angle D = 128.57 ^{\circ}$

Hence:

$\angle D = \angle R = 128.57 ^{\circ}$

8 0

2 years ago

An acre measures 4840 square yards. In a city a lot on which a single family house can be built measures 40 feet across and 100

maw [93]

We are required to find the percent of an acres is this lot

The percent of acres of the lot is 27.55%

Area of an acre = 4840 square yards

Area of the lot = Length × width

= 40 feet × 100 feet

= 4000 square feet

convert feet to yards

1 foot = 0.333333

4000 square feet = 1333.333 square yards

Therefore,

Area of the lot = 1333.333 square yards

percent of an acres is this lot = 1333.333 / 4840 × 100

= 0.2754820247933 × 100

= 27.548202479338

Approximately,

27.55%

Therefore,

The percent of acres of the lot is 27.55%

brainly.com/question/2236179

6 0

2 years ago

About 16\20 of a tomato is water. what percent of a tomato is water?

notka56 [123]

The percent of a tomato is 80%

5 0

2 years ago

Read 2 more answers

The function f(x) is given by the set of ordered pairs.

My name is Ann [436]

Answer: f(0) = 6.

Explanation:

Ther ordered pairs are: (x,y) or (x, f(x) )

So, (1,0) means that f(1) = 0 which denies the fourth choice.

(-10,2) means that f(-10) = 2 which denies the first choice

(0,6) means that f(0) = 6, which is the third choice. So, that is the true equation.

4 0

3 years ago

Read 2 more answers

A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 h

Olin [163]

Answer:

C. 3.0

Step-by-step explanation:

Lets calculate the points:

Art - 2 hrs - B (3) ⇒ 2*3 = 6 points
History - 3 hrs - A (4) ⇒ 3*4 = 12 points
Science - 4 hrs - C (2) ⇒ 4*2 = 8 points
Math - 3 hrs - B (3) ⇒ 3*3 = 9 points
Lab - 1 hr - A (4) ⇒ 1*4 = 4 points

Totals

Total hours = 13
Total points = 39

GPA = total points/ total hours

GPA = 39/13 = 3.0

Correct option is C

3 0

3 years ago