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Alinara [238K]
3 years ago
12

Help me with this please

Mathematics
1 answer:
Nostrana [21]3 years ago
8 0
Check out the image attachment for one way to draw this problem out. Notice how angles AEC and DEB are vertical angles, so that means they are congruent angles

(measure of angle AEC) = (measure of angle DEB)
6x + 20 = 10x
6x + 20-6x = 10x-6x ... subtract 6x from both sides
20 = 4x
4x = 20
4x/4 = 20/4 ... divide both sides by 4
x = 5

The value of x is 5. 

Let's check the answer
6x + 20 = 10x
6*5 + 20 = 10*5 ... replace every x with 5
30+20 = 50
50 = 50
We have confirmed the answer.

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Carrie and brent leave home at the same time. carrie drives due east at a rate of 30 mph, while brent drives due south at a rate
Helga [31]

<h3>They are 268 miles far apart after 4 hours</h3>

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

\large {\boxed {a = \frac{v - u}{t} } }

\large {\boxed {d = \frac{v + u}{2}~t } }

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem !

<u>Given :</u>

v₁ = 30 mph due east

v₂ = 60 mph due south

t = 4 hours

<u>Unknown :</u>

displacement = d = ?

<u>Solution :</u>

d_1 = v_1 \times t

d_1 = 30 ~ mph \times 4 ~ h

d_1 = \boxed {120 ~ miles}

d_2 = v_2 \times t

d_2 = 60 ~ mph \times 4 ~ h

d_2 = \boxed {240 ~ miles}

d^2 = (d_1)^2 + (d_2)^2

d^2 = 120^2 + 240^2

d^2 = 72000

d = \sqrt{72000}

d = 120\sqrt{5} ~ miles

d \approx \boxed {268 ~ miles}

<h2>Conclusion :</h2><h3>They are 268 miles far apart after 4 hours</h3>

<h3>Learn more</h3>
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
  • The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

6 0
3 years ago
Read 2 more answers
Please help me it would mean a lot
emmasim [6.3K]

Answer:

44 degrees

Step-by-step explanation:

angle c = 90 degrees

angle a = 46 degrees

the measure of all sides on a triangle is 180

so to solve for the other side we can do this equation...

180 - (90 + 46) = 44

hope this helped, mark as brainliest pls

6 0
2 years ago
I need help with 8,9 and 10
rodikova [14]

Answer:

Answer 8: D

Answer 9: A

Step-by-step explanation:

8D: 5(12)/4-1=14

9A: Plug in -5(1)+2 = -3, so the point is (1,-3)

Question 10 is not visible

8 0
3 years ago
What is the product im simplest form for 3/5×2/3​
eduard

Answer:

0.4

\frac{2}{5}

Step-by-step explanation:

5 0
3 years ago
Twice the sum of a number plus 4 is 26. Find the number
telo118 [61]
2(x+4)=26
2x+8=26
2x=14
X=7
8 0
3 years ago
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