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Bad White [126]
2 years ago
6

7. Which of the following best presents the graph of a line with a slope of -2/3 and a y-intercept of -1?

Mathematics
1 answer:
Sonja [21]2 years ago
3 0
The correct graph would be graph A.

Since the line hits the y-axis at -1. And it goes down 2 and to the left 3 for each point.
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In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
snow_lady [41]

If ΔACB is an isosceles triangle, then ∠A ≅ ∠B and AC ≅ CB

Since ∠C = 120° and ∠A + ∠B + ∠C = 180°, then ∠A = 30° and ∠B = 30°

Next, look at ΔADB.  ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

Now look at ΔADC.  Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC <em>per angle addition postulate.</em>

Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.

CD = 4 cm (given) so AC = 2(4 cm) = 8 cm

Since AC ≅ BC, then BC = 8 cm. Therefore, BD = 4 + 8 = 12 <em>by segment addition postulate.</em>

Lastly, look at ΔBHD.  Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.

BD = 12 cm, so HD = \frac{12}{2}cm = 6 cm

Answer: 6 cm



8 0
3 years ago
Read 2 more answers
£35.50 for the first day then £18.25 for each extra day the total cost of hiring the machine was £ 163.25 how many day dose Mart
BabaBlast [244]

y = number of days
35.50 + 18.25 y  = 163.25

18.25 y = 163.25 - 35.50

18.25y = 127.75

y = 127.75 / 18.25

y = 7

so Martin has hired the machine for 8 days

( first day paid 35.50), then 7 days for 18.25

8 0
3 years ago
Please help me AND ALSO PLEASE EXPLAIN HOW YOU WORKED IT OUT thank you.
lesya692 [45]
128, -512, 2048
Multiply by -4 to get each new term
4 0
3 years ago
Brianna just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5%, and it is customary to leave
emmainna [20.7K]
15% = 0.15
 tip = 15 * 0.15 = 2.25

5% = 0.05
tax = 15 * 0.15 = 0.75

 total = 15 + 0.75 + 2.25 = $18

7 0
3 years ago
Find the product write the product as a mixed number
Helga [31]

Answer:

\frac{9}{10}  \times 54 =  \frac{9 \times 54}{10}  =  \frac{486}{10}  = 48 \frac{6}{10}  =  \frac{243}{5}

3 0
2 years ago
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