Answer:
94 degrees
Step-by-step explanation:
triangle is 180
so 180-74-20=86
The exterior angle is 74+20=94
94 is exterior angle
Answer:
x = 94°
Step-by-step explanation:
Any triangle has three angles whose measures add up to a total of 180°.
This triangle has two known angle measures. First, find the missing interior angle measure.
180 - (74 + 20)
180 - 94
86
The missing interior angle's measure is 86°. An exterior angle is supplementary to its adjacent interior angle, which means that the measure of the interior angle plus the exterior angle measure is 180.
180 - 86
94
Another way to find out a missing exterior angle measure is to simply add the measures of the two nonadjacent interior angles.
74 + 20
94
I hope this helped :)
can someone help me please?
The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?
Strategy:
why did you choose this strategy:
======================================================
Explanation:
Check out the diagram below
I drew a rectangle with dimensions 56 ft by 78 ft.
Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8
The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point
In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48Add up all the areas found: 3500+420+400+48 = 4368
As a way to check, using your calculator shows that 56*78 = 4368
the ratio of the number of knives to the number of forks on a table
Answer:
is this including an appatizer fork? if not, then it's 1/1 if it is then it's 1/2
Step-by-step explanation:
x - 9 = 0.7*x + 0.6*x
Answer:
x = -30
Step-by-step explanation:
[tex]0.7x+0.6x=1x-9\\=>1.3x=1x-9\\=>1.3x-1x=9\\=>0.3x=-9\\=>\frac{3}{10}x =-9\\=>x=\frac{-9*10}{3} =-30[/tex]
20-34+ 8/2 =? PLS HELP ME I GIVE ALL MY POINTS.
Answer:
-10
Step-by-step explanation:
20-34=-14, 8/2 is just 4, so add 4 to -14 which = -10
can someone help? exams are tomorrow and i have no clue how to do this problem?
Find the value of a in the polygon below.
Answer:.
m= 116 degrees
a=41 degrees
Step-by-step explanation:
Explaination: add 89+50+64 = 203
the line that m is on should equal 180. so subtract 64 from 180 and you get 116 degrees. then add 89+50+64+116=319
360-319= 41
the whole polygon should equal 360 degrees
I’ll love you forever if you help me with this ASAP PLEASE
Answer:
A: -0.33
Step-by-step explanation:
If you convert it to slope-intercept form, you get y = -1/3x + 4 so the slope is -1/3 or -0.33
Emilio has 2 quarters, 4 dimes, 3 nickels and 5 pennies. How much money does Emilio have in all?
Answer:
$1.10
Step-by-step explanation:
What we know:
Emilio has 2 quarters, 4 dimes, 3 nickels, and 5 pennies.
Quarters = 0.25 * 2
Dimes = 0.1 * 4
Nickels = 0.05 * 3
Pennies = 0.01 * 5
$0.50 + $0.40 + $0.15 + $0.05
$0.90 + $0.20 = $1.10 in total
The range of f(x) = 3x + 1.1 is {16.1, 19.1, 25.1). What is the domain?
A. (5,6,8)
B. 49.458 4, 76.4)
C. All positive real numbers
D. All real numbers
Answer:
It’s A. (5,6,8)
Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0.2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural? 3.6 inches 18.2 inches 60 inches 90 inches
pls answer quick this is worth 65 points
Answer:
90 inches
Step-by-step explanation:
18 divided by 0.2 is 90
Answer:
D: 90 inches
Step-by-step explanation:
Got it right on edge!
PLEASEEEEEEEEEEE NO ONE IS HELPING ME!!!!!!!!
George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.
How many pages will George have written after 3 hours?
Answer:
George would have 7 pages complete
Step-by-step explanation:
Since he has 1 paper complete now and after 3 hours he would have 7 since 3x2=6 and 6+1=7
16-2<5
solveeeeee itttttt
[tex]b-2<5\\b<5+2\\b<7[/tex]
Therefore, the answer is b < 7.
Example 3: The following data was collected by a taxi driver who was interested in how much fuel he used on different journeys. Length of journey 100 250 150 180 220 (miles) 300 Fuel Used (liters) 24 59 44 50 59 97 Estimate how much fuel would be needed for a 200-mile journey.
Answer:
For a 200 mile journey, 55.5 liters of fuel
is needed
Step-by-step explanation:
Here, we want to estimate the fuel needed for a 200 mile journey
we can use this by having an average
By adding all and dividing by 6
Mathematically, that will be;
(24 + 59 + 44 + 50 + 59 + 97)/6
= 55.5
The reason for this is because if we added all the lengths and divide by 6, what we get is 200
Thus, if we added the liters of fuel used per each and divide by 6, we can have an estimate for a 200-mile journey
Robin invested $1000 in a 12% simple interest savings deposit for 3
years. He also invested an equal amount in a 10% compound interest
savings deposit for 3 years. At the end of 3 years, how much more
interest did he get from the simple interest deposit?
Step-by-step explanation:
Lets find out,shall we?
Simple interest=(PRT)/100
=$1000×12×3)/100
=$360
Now for compound interest
A=P(1+R/100)^t
A=$1000(1+12/100)^3
A=$1404.928
so interest for compound interest=$(1404.928-1000)=$404.928
Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.
Difference in interest=$404.928-360=$44.928
Tristan rode his bike for 9 kilometers. One mile is approx. equal to 1.6 kilometers. Which measurement is closest to the numbers of miles Tristan rode his bike?
A. 5.625 mi
B. 2.8 mi
C. 6.4 mi
D. 4.4
Answer: A.
Step-by-step explanation: First you must think about how many miles is 9 kilometers. How many miles in 9 kilometers is 5.59234. And A is the closest to the numbers of miles Tristan rode his bike. The other questions would be wrong. It isn't the exact one because it's the closest, not exact. Hope that helps :).
Pls help will give brainliest to who is Wright
Answer:
24
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
Answer:
The answer is 24 :)
Which of the following is a step in simplifying the expression ?
Answer:
1
Step-by-step explanation:
Steven and Brittney are both starting lawn mowing businesses to save money to buy a dog. Steven charges $20 a yard and $6 an hour. Brittney charges $28 a yard and $5 an hour. How many hours will they need to work to have the same amount of money. If the cost of the dog is $300, who will be able to buy it first?
a. 8hrs to have the same amount of money
b.18 hours to have the same amount of money
c. Brittany will be able to buy the dog first
d. Steven will be able to buy the dog first
Answer:
d
Step-by-step explanation:
18 always still have the same amount of money
could someone explain? i will give brainliest thank you
Answer:
A
Step-by-step explanation:
Using the sine ratio on the right triangle on the right to find x
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{70}[/tex] ( multiply both sides by 70 )
70 × sin30° = x , thus
x = 35
-----------------------------------------------
Using the sine ratio on the right triangle on the left to find y
sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex] = [tex]\frac{35}{y}[/tex] ( multiply both sides by y )
y × sin42° = 35 ( divide both sides by sin42° )
y = [tex]\frac{35}{sin42}[/tex] ≈ 52.3 ( to the nearest tenth ) → A
Answer:
y = 52.3.
Step-by-step explanation:
Consider the larger triangle on the right:
sin 30 = x / 70
x = 70 sin 30 = 70 * 0.5
= 35.
So, considering the small triangle:
Sin 42 = 35/y
y * sin 42 = 35
y = 35 / sin 42
y = 52.3.
x+8y
units
8x -x+5y units
what’s the perimeter?
Answer:
P = 16x+26y units
Step-by-step explanation:
Let the length is (x+8y) units
Width = (8x-x+5y) units
We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.
P = 2[(x+8y) + (8x-x+5y)]
= 2[(8x+8y+5y)]
= 2[8x+13y]
= 16x+26y
Hence, the required perimeter is 16x+26y.
PLs help I can't stay too long my assignment is due in 20 min!
Divide. Write the quotient in lowest terms.
3/5 divided by 2 and 1/2
Answer:
Decimal: 0.24
Fraction: 6/25
A study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 97.9% of the tests were (correctly) negative. If 32% of patients actually carry the virus, what's the probability that a patient testing negative is truly free of the virus?
Answer:
Following are the solution to the question:
Step-by-step explanation:
The probability of virus P(V) =0.32
No virus P(NV) =0.66
Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing
[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]
This is why the likelihood of a patient being free of the virus is negative.
[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]
[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answer:
y=3x+2
Step-by-step explanation:
Answer:
y=3x+2
Step-by-step explanation:
facts: slope is m, and b is y-intercept
y=3x+2
hope this helps!
3(x + 5)2 + 6 vertex
Answer:
The equation does not match the form of any conic section.
Not a Conic Section
Step-by-step explanation:
I just need help with the option that is blank
What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?
Given:
The given figure is dilated by a scale factor 1.5.
To find:
The coordinates of B' and C'.
Solution:
If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is
[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]
From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).
The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is
[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]
[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]
[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]
[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]
Using this rule, we get
[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]
[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]
[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]
And
[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]
[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]
[tex]C(-2,2)\to C'(-6,-6)[/tex]
Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).
Rearrange w=3(2a+b)-4 to make a the subject
Answer:
a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w
Step-by-step explanation:
Original equation: w=3(2a+b)-4
1. Distribute the 3 to the numbers inside parenthesis to get:
w=6a+3b-4
2. Subtract 6a from both sides to get:
-6a+w=3b-4
3. Subtract w from both sides to get:
-6a=3b-4-w
4. Divide both sides by -6 and simplify to get:
a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w
Please help me please
Manuel buys 7.9 pounds of strawberries. Each pound costs $3.89. Which expression gives the best estimate of the cost of the strawberries?
(8)($4)
(7)($4)
(8)($3)
(7)($3)
Answer:
A
Step-by-step explanation:
Write the slope of a line perpendicular to y=-6x+4. Explain why it is perpendicular
Answer:
1/6 is the slope since you have to flip it
Step-by-step explanation:
Answer:
The slope of a line perpendicular to the equation is 1/6 or x/6.This is perpendicular because it is the reciprical of the other equation
Step-by-step explanation:
y=-6x+4.
the slope intercept form is y=mx+b
m is the slope
m=-6
for the equation to be perpendicular then the slope is the reciprical
Knowing this lets find a line perpendicular to this equation
Equation:
y=1/6x+2/3
or
y=x/6+2/3