All categories

3 years ago

Transversal Problems with Equations (Level 1)

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer:

x is 21°

Step-by-step explanation:

The angles formed between the transversal t and lines m and n are; (8·x - 7)°, and (9·x - 28)°

Based on the similar location the angles are formed by the transversal, t, and lines m and n, the angles are corresponding angles

Given that lines, m and n are parallel, we have the corresponding angles formed by the transversal, t, and the lines are equal, therefore;

(8·x - 7)° = (9·x - 28)°

Simplifying the above equation to make x the subject, we get

(28 - 7)° = 9·x - 8·x = x

∴ 21° = x

x = 21°.

You might be interested in

See pictures attached below. Will give Brainliest!

Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

Gifts Bags --> 6/7 hours

x = time together

$\frac{1}{x}$ = rate of completion

Aunt 1 = $\frac{1}{1.5}$ Grandma 1 = $\frac{1}{2}$

$\frac{2}{3} +\frac{1}{2} = \frac{1}{x}$

$\frac{7}{6} = \frac{1}{x}$

$x = \frac{6}{7}$

Centerpieces --> 7/4 hours

x = time together $\frac{1}{x}$ = rate of completion

Mom = $\frac{1}{3.5}$ Aunt 2 = $\frac{1}{3.5}$

$\frac{2}{7} + \frac{2}{7} = \frac{1}{x}$

$\frac{4}{7} = \frac{1}{x}$

$x = \frac{7}{4}$

Balloons --> 15/16 hours

x = time together $\frac{1}{x}$ = rate of completion

You = $\frac{1}{1.5}$ Grandma 2 = $\frac{1}{2.5}$

$\frac{2}{3} + \frac{2}{5} = \frac{1}{x}$

$\frac{16}{15} = \frac{1}{x}$

$x = \frac{15}{16}$

Shortest amount of time to complete all tasks is:

$\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}$ ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

8 0

3 years ago

HELP ME PLS I NEED THIS !!!!

ZanzabumX [31]

Answer:

Go google the answer

Step-by-step explanation:

3 0

3 years ago

Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).

SVEN [57.7K]

Step-by-step explanation:

y-y₁=m(x-x₁)

1-(-4)=m(4-3)

5=m

5 0

3 years ago

If y=2x+3 find the value of y when x=5

Alex73 [517]

Y is 13 when you solve the problem

8 0

3 years ago

Read 2 more answers

Kendall is designing a backyard garden. She makes a scale drawing of the garden where 3 inches is equivalent to 2 feet in the ga

notsponge [240]

answer windex heres the step by step explanation everything =windex Step-by-step explanation:

7 0

3 years ago