What additional information is necessary to prove that SILY is a parallelogram

What is the value of the variables?

iren [92.7K]

Answer:

x=9 and w=12

Step-by-step explanation:

To solve for w and x, create proportions between the two similar triangles.

$\frac{Big Side}{Big Side} =\frac{little side}{little side}$

where Big represents the bigger triangle an little represents the smaller triangle.

$\frac{8}{16}=\frac{w}{12+w}$

Cross multiply and solve for w.

8(12+w)=16(w)

96 + 8w = 16w

96 + 8w - 8w = 16w - 8w

96 = 8w

w=12

Repeat with a new proportion.

$\frac{8}{22}=\frac{12}{24+x}$

Cross multiply and solve for x.

8(24+x)=22(12)

192 + 8x = 264

8x = 72

x=9

6 0

3 years ago

The (Figure 1) shows two thin beams joined at right angles. The vertical beam is 19.0 kg and 1.00 m long and the horizontal beam

il63 [147K]

A) The center of gravity of the two joined beams is;

(x, y) = (25/44), (19/88)

B) The gravitational torque on the joined beams about an axis through the corner is;

τ = 245 N.m

We are given;

Mass of vertical beam; m₂ = 19 kg

Mass of horizontal beam, m₁ = 25 kg

Length of horizontal beam; L₁ = 2 m

Length of vertical beam; L₂ = 1 m

A) Formula for center of gravity of the two joined beams is;

(x, y) = [(m₁x₁ + m₂x₂)/(m₁ + m₂)], [(m₁y₁ + m₂y₂)/(m₁ + m₂)]

Where;

(x₁, y₁) is the center of gravity on the horizontal beam

(x₂, y₂) is the center of gravity on the vertical beam

(x₁, y₁) = (L₁/2, 0)

Plugging in the relevant values gives;

(x₁, y₁) = (2/2, 0)

(x₁, y₁) = (1, 0)

(x₂, y₂) = (0, L₂/2)

Plugging in the relevant values gives;

(x₂, y₂) = (0, 1/2)

(x₂, y₂) = (0, 0.5)

Thus, center of gravity of the 2 joined beams is;

(x, y) = [((25 × 1) + (19 × 0))/(25 + 19)], [((25 × 0) + (19 × 0.5)))/(25 + 19)]

(x, y) = (25/44), (19/88)

B) Formula for the gravitational torque on the joined beams about an axis through the corner is given as;

τ = (m₁g)x₁ + (m₂g)x₂

Plugging in the relevant values;

τ = (25 × 9.8)1 + (19 × 9.8)0

τ = 245 N.m

Read more at; brainly.com/question/14825257

8 0

2 years ago

Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers

AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

$A = \frac{1}{2}\cdot n \cdot (n+1)$

$A = \frac{1}{2}\cdot (n^{2}+n)$

$A = \frac{n^{2}}{2}+\frac{n}{2}$

$n^{2}+n = 2\cdot A$

Where $n$ is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

$n^{2}+n -2\cdot A = 0$ (1)

If we know that $A = 17.5\,cm^{2}$ , then the shortest length of the triangle is:

$n_{1} = 5.437\,cm$ and $n_{2} \approx -6.437\,cm$

Since length is a positive variable, the only possible solution is:

$n\approx 5.437\,cm$

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

6 0

3 years ago

Candice leaves on a trip driving at 35 miles per hour. Three hours later, her sister Liz starts from the same location driving a

Natalka [10]

It would be 7 hours because 35 x 3 is 105, if she is already 105 miles from home then 35 x 7 is 245. 245 + 105 = 350. Candice would be at 350 and Liz would be at 350, so in conclusion the answer is 7 hours. :)

4 0

3 years ago

Read 2 more answers

2. The next Saturday, the two friends leave at the same time a ain, and Kiran jogs twice

gladu [14]

Answer:

the end by the finish line

5 0

2 years ago