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3 years ago

Find the value of the variable

Mathematics

1 answer:

marissa [1.9K]3 years ago

8 0

Answer:

x=13

Step-by-step explanation:

because they're alternate adjacent angles:

5x=78-x

6x=78

x=13

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Can someone pls help for brainlest

zvonat [6]

Answer:

area of the larger figure=32 yd×37 yd

=1184 yd²

area of the smaller figure=21 yd ×26 yd

=546 yd²

area of the shaded region=1184 yd² -546 yd²

=638 yd²

3 0

3 years ago

Emily has 32 grams of a 25% sugar syrup, but this is just too sweet for her! How much pure water should she add to have a 10% sy

GarryVolchara [31]

32 grams = water mass + sugar mass . 100% syrup=75% water+ 25%sugar
original water content= 32*75/100=24 grams
original sugar content= 32*25/100= 8grams

total mass at 10% syrup:
8grams/total mass=10%=0.1
total mass=8/0.1=80grams
total mass of water=80grams- 8grams of sugar content= 72 grams
total mass of water added=72grams- 24grams original water content= 48grams.

answer: 48grams

3 0

3 years ago

Read 2 more answers

The Rodriguez family and the Hill family each used their sprinklers last summer. The water output rate for the Rodriguez family'

brilliants [131]

Answer:

x = 23.33 hr Rodriguez sprinkler

y = 26.66 hr Hill sprinkler

Step-by-step explanation: INCOMPLETE QUESTION

Requiered information:

the water output rate for both sprinkler families

We assume : Rodriguez family 40 lts/hr

Hill family 35 lts/ hr

Total water output 1900 lts

and total combined hours working is 50 hr

Let call "x" time in hours sprinkler of Rodriguez family worked

and "y" time in hours sprinkler of Hill family worked

Then if total output was 1900 lts

40*x + 35*y = 1900 and x + y = 50

We have a two equation system, solving

y = 50 - x ⇒ 40*x + 35 * ( 50 - x )

40x = 1750 - 35x

75 x = 1750 ⇒ x = 1750/75 ⇒ x = 23.33 hr

and y = 50 - 23.33 ⇒ y = 26.66 hr

6 0

3 years ago

State what method you are using to solve the system. Then solve the system. Show all steps of your work, clearly state your answ

Anit [1.1K]

Answer:

The method used is substitution method

x = 2, y = -6

Step-by-step explanation:

Given the simultaneous equation

Y = −3x ..... 1

4x + y = 2 ... 2

Substitute equation 1 into 2

4x + (-3x) = 2

4x - 3x = 2

x = 2

Get y:

y = -3x

y = -3(2)

y = -6

Hence the value of (x, y) is (2, -6)

6 0

3 years ago

The kingston review (kr) is testing a new gmat question. the kr wants to determine what proportion of test-takers will answer th

LenKa [72]

[67.9 %, 82.1 %] is the answer when it has 95% confidence interval for the proportion of test-takers who answered the question correctly. So the 95% confidence interval for the proportion of test takers is [67.9 %, 82.1 %] who answered the question correctly, In order to random sample of 144 test-takers and 75% answered question correctly. So the answer in this question is [67.9 %, 82.1 %].

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3 years ago