A line contains the point (8, –5). If the slope of the line is 5/7 write the equation of the line using point-slope form.

Another scale drawing of Jimmy's living room is shown below:

deff fn [24]

Answer:

last option

Step-by-step explanation:

Again, 1 cm represents 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

5 0

3 years ago

HELP MEEEEE PLEASEEEEEE

Sindrei [870]

Answer:

$x=16\dfrac{28}{37}\\ \\y=5\dfrac{1}{3}\\ \\z=7.5$

Step-by-step explanation:

The diagram shows three paralel lines which divide the large triangle into three similar triangles.

By Thales theorem,

$\dfrac{5}{z}=\dfrac{y}{8}=\dfrac{2}{3}$

Then

$\dfrac{5}{z}=\dfrac{2}{3}\Rightarrow 2z=15,\ z=7.5\\ \\\dfrac{y}{8}=\dfrac{2}{3}\Rightarrow 3y=16,\ y=\dfrac{16}{3}=5\dfrac{1}{3}$

From the similarity of triangles,

$\dfrac{x}{20}=\dfrac{z+8}{z+8+3}\\ \\\dfrac{x}{20}=\dfrac{7.5+8}{7.5+8+3}\\ \\\dfrac{x}{20}=\dfrac{15.5}{18.5}\\ \\x=20\cdot \dfrac{155}{185}=20\cdot \dfrac{31}{37}=\dfrac{620}{37}=16\dfrac{28}{37}$

6 0

3 years ago

Linear functions filling in a table

Fofino [41]

X 1, 2, 3, 4 Y -2, -10, -18, -26

3 0

3 years ago

90 points to brainliest answer!!!

kotykmax [81]

Answer:

The probability that in his next 5 back flips Daniel will land more than 3 of them is:

27%

Step-by-step explanation:

The outcomes that represent that he landed in his back flip more than 3 times are:

43113 43323 14221 11123 35133 15231

So, out of the total 22 trials the number of trials he will land more than 3 of them is:

6.

Let P denotes the probability of an event.

Hence,

P(He will land more than 3 times)=Number of trials in which he landed more than three times/Total number of trials.

P( He will land more than 3 times)=6/22

Hence, the percent probability is calculated as:

$=\dfrac{6}{22}\times 100\\\\=27.2727\%\\\\which\ is\ approximately\ equal\ to\\\\=27\%$

Hence, the probability that in his next 5 back flips Daniel will land more than 3 of them is:

27%

7 0

4 years ago

Given a triangle with sides measuring 18 inches, 21 inches, and 14 inches find the measure of the angle with the greatest measur

USPshnik [31]

B :81 EXPLANATION
The angle with the greatest measure corresponds to the longest:
Since we know the three side lengths, we use the cosine rule to obtain;
{a}^{2} = {b}^{2} + {c}^{2} - 2bc \cos(A)
where a=21, b=18 and c=14
{21}^{2} = {18}^{2} + {14}^{2} - 2 \times 18 \times 14\cos(A)
44 1= 324+ 196 - 504\cos(A)
44 1= 520 - 504\cos(A)
44 1 - 520 = - 504\cos(A)
- 79 = - 504\cos(A)
\cos(A) = 0.1567
A = \cos ^{ - 1} (0.1567) = 80.98 \degree

7 0

4 years ago