What is the solution to this system of equations? 5x + 2y = 29 x + 4y = 13

The measure of angle 3 is 42°. What is the measure of angle 1 in degrees?

Svetradugi [14.3K]

Answer:

Angle 1 is 48°

Step-by-step explanation:

So angle 1 + angle 2 + angle 3 = 180°

Angle 2 = 90°

Angle 3 = 42°

180 - 90 - 42 = 48°

3 0

3 years ago

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

2 years ago

Help me with my math quiz from friday 4/1 SHOW STEPS

malfutka [58]

Hie!! I will be solving the questions in the sequence of the attachments.

_______________________________________

4. As line SU and TV are intersecting each other at O.

A.T.Q, ∠UOV = (7x - 4)°

∠SOT = 87°

Then, ∠UOV = ∠SOT {Vertically Opposite Angles}

$\rightarrow\sf{7x - 4=87}$

$\rightarrow\sf{7x =87+4}$

$\rightarrow\sf{7x =91}$

$\rightarrow\sf{x =\frac{91}{7}}$

$\rightarrow\boxed{\bf{x =13}}$

_______________________________________

5. radius = 17ft

circumference of circle = 2πr

$\rightarrow\sf{circumference=2\times\frac{22}{7}\times17}$

$\rightarrow\boxed{\bf{circumference=106.8ft}}$

_______________________________________

3. ∠1 and ∠2 - add to 180 (linear pair)

∠1 and ∠3 - equal (Vertically Opposite Angles)

∠3 and ∠4 - add to 180 (linear pair)

∠2 and ∠4 - equal (Vertically Opposite Angles)

_______________________________________

2. 160° + (6x - 16)° = 180° (linear pair)

$\rightarrow\sf{6x - 16 = 180-160}$

$\rightarrow\sf{6x - 16 = 20}$

$\rightarrow\sf{6x = 20+16}$

$\rightarrow\sf{6x =36}$

$\rightarrow\sf{x =\frac{36}{6}}$

$\rightarrow\boxed{\bf{x =6}}$

8 0

2 years ago

Find 7x+y when x=4 and y=5. *

Alexeev081 [22]

Answer:

7x+y, when x+4 and y+5

7(4) + 5=

28+5=

33

Step-by-step explanation:

Hope this helps. :)

7 0

3 years ago

Please help me figure out the answer to this I'm a bit confused

scZoUnD [109]

Answer:

y= 1/2x + 1

Step-by-step explanation:

Refer to y=mx+b, m=slope and b= y-intercept

First, you find the slope: you can find the slope by finding the rise over run between two points. Rise= 1, Run=2. The slope is rise/run (rise over run), so the slope would be 1/2 (one half).

Next, find the y-intercept. It is where the line touches the y-axis. Here, it would be 1.

Finally, put these in y=mx+b form:

y=(slope)x+(y-intercept) ---> y= 1/2x + 1

I tried my best to explain everything, I hope you found this helpful!

8 0

3 years ago

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What is the solution to this system of equations?5x + 2y = 29 x + 4y = 13​

What is the solution to this system of equations?5x + 2y = 29 x + 4y = 13