In the figure,BE||CD. Solve for . Show your work.

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Answer:

Step-by-step explanation:

AE is 9. ED is 6. The triangle ABE is proportional to ACD, so their sides are proportional. For example, AE:ED = AB:BC. So, ED/AE = 2/3 = BC/AB. This gives us 2/3 = x/10, which gives us x=6.6667

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For the slope of the line that goes through (3, 9) and (0, 0), we have

Step-by-step explanation:

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2 years ago

Start with the equation 5 • 0 = 0 to explain why 5 • -2 must equal -10. Drag descriptions and equations to the table to complete

lorasvet [3.4K]

Answer:

Step-by-step explanation:

1. The problem is telling us to start with the equation 5*0=0

2. Substitute. Any number plus its opposite is zero. Since the opposite of 10 is -10, 10+(-10)= 0: 5(10+-10)=0

3. 3 Use the distributive property. In other words multiply 5 by 10 and 5 by -10: 4·10+5·-10=0

4. Multiply. perform the first multiplication of step 4: 5·10=50, so: 50+4·-10=0

5. Subtract 50 from both sides. 50-50+5·-10=0-50; simplify the left side: 0+5·-10=0-40

5·-10=0-50

6. Simplify to solve for 5·-10. Simplify the right side: 5·-10=-50

____________________________________________________________

Given. 5·0=0

Step 2 Substitute. Any number plus its opposite is zero. 5(10+-10)=0

Step 3 Use the distributive property. 5·10+5·-10=0

Step 4 Multiply. 40+4·-10=0

Step 5 Subtract 40 from both sides. 5·-10=0-50

Step 5 Simplify to solve for 4·-10. 5·-10=-50

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I Really hopes this helppps uu ! <3

8 0

2 years ago

Solve 7.8e^((x/3)ln(5))=14. What are the exact and approximate solutions?

Dimas [21]

$\bold{\text{Answer}:\quad x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)=1.09}$

<u>Step-by-step explanation:</u>

$7.8e^{\frac{x}{3}\cdot ln(5)}=14\\\\\\e^{\frac{x}{3}\cdot ln(5)}=\dfrac{14}{7.8}\\\\\\ln\bigg(e^{\frac{x}{3}\cdot ln(5)}\bigg)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\frac{x}{3}}\cdot ln(5)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\large\boxed{x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)}\\$