3 years ago

Just need some help!

Mathematics

2 answers:

Stella [2.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

Pani-rosa [81]3 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by Basic Proportionality Theorem (BPT):

$\frac{x + 5}{2x} = \frac{4}{3} \\ \\ 3(x + 5) = 4 \times 2x \\ \\ 3x + 15 = 8x \\ \\ 15 = 8x - 3x \\ \\ 15 = 5x \\ \\ x = \frac{15}{5} \\ \\ x = 3$

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As the figure shows Elton runs 500 m to point b first then he turns 100 degrees and runs another 350 m to point c how far is the

Alex777 [14]

Answer:

658.24 m

Step-by-step explanation:

Let A be the point from where Elton started. Connect points A and C, you get triangle ABC with AB=500 m, BC=350 m and m∠B=100°. Use the cosine rule to determine the length of the segment AC:

$AC^2=AB^2+BC^2-2\cdot AB\cdot BC\cdot \cos \angle B,\\ \\AC^2=500^2+350^2-2\cdot 500\cdot 350\cdot \cos 100^{\circ},\\ \\AC^2=250000+122500-350000\cdot (-0.174),\\ \\AC^2\approx 433276.8622,\\ \\ AC\approx 658.24\ m.$