Note that ∠A + ∠B = 180°
Therefore:
(8x + 74°) + (2x + 56°) = 180°
Simplify:
10x + 130° = 180°
Subtract both sides by 130°:
10x = 50°
Divide both sides by 10:
x = 5
Plug x into ∠B:
∠B = 2(5) + 56° = 10 + 56° = 66°
Step-by-step explanation: If two parallel lines are cut by a transversal,
then same side interior angles are supplementary.
So in this problem, we know that m<A + m<B = 180°l.
~substitute
8x + 74 + 2x + 56 = 180
~simplify
10x + 130 = 180
10x = 50
x = 5
If we know that x = 5, we can use this information to find <b.
So we have 2(5) + 56 or 10 + 56 which is 66.
So x = 5 and m<B = 66°.
PLSSSSSSSSSSSSS HELPPPPPPPPPPPP
Find the number if:
Step-by-step explanation:
Let the number be x
1 2/3% × x = 4.75
5/3% × x = 4.75
(5/3)/100 × x = 4.75
5/3 × 1/100 × x = 4.75
5x/300 = 4.75
5x = 300 × 4.75
x = (300 × 4.75)/5
x = 1425/5
x = 285
what's 1+1 will mark branleyist
Answer:2
Step-by-step explanation:
Find the slope of the line that passes through Point A (1, - 2) and the origin using m=
rise/run
Answer:
-2.
Step-by-step explanation:
The origin is (0, 0). So:
The slope = (-2 - 0 )/ (1 - 0)
= -2/1
= -2.
Evaluate rhe expression below (-4)+1
Answer:
-3
Step-by-step explanation:
Step 1: Write expression
(-4) + 1
Step 2: Add
-3
y = -2(x + 1)(x + 4)
Solve the system by the substitution method.
X-6y = 6
3x - 18y = 7
Is 1/4 and 4/16 an equivalent fraction? If so why ?
Answer:
Yes
Step-by-step explanation:
1/4 = 4/16 because 1/4 of 16 is 4
Also,
1/4 is just a simplified version of 4/16
The answer to whether 1/4 and 4/16 are equivalent fractions is that; Yes, they are equivalent fractions
How to simplify Fractions?We have two fractions which are; 1/4 and 4/16
Now, the first fraction is already in simplified form and can't be simplified further. However, the second fraction can be further simplified.
For the second fraction which is 4/16, the numerator and denominators have a common term which is 4. Thus, we can factor it out to get;
(4/4) * (1/4)
4/4 =1 and so we see that 4/16 can be reduced to the first fraction and so they are the same.
Read more about Fractions at; https://brainly.com/question/11562149
#SPJ2
do 100.3 m equal 10.03 hectometers?
Answer:
Step; This conversion of 10.03 kilometres to hectometres has been calculated by multiplying 10.03 kilometres by 10 and the result is 100.3 hectometres.-by-step explanation:
Find approximate solution(s) for the equation in the interval -pi < x < pi . Round to three decimal places. cot x = 2 sec x
Answer: C
Step-by-step explanation: i just had that answer
Answer:
C
Step-by-step explanation:
I did the test
2) Two full revolutions = how many degrees? I
Answer:
720 degrees
Step-by-step explanation:
one full rotation is 360 degrees
360 + 360 = 720
Please help! Will give Brainliest :D
A delivery company uses cars, cargo vans, and semitrailers. The company uses its cargo vans to deliver packages to locations at a 75-mile radius
from the warehouse. If the distance to the delivery location is within 8 miles of the delivery boundary, a cargo van will still be used. The company
uses the other vehicles for any distance outside this range.
Write an inequality to represent the instances when a vehicle other than a cargo van is used, where x is the distance of a location from the warehouse.
Given that:
The company uses its cargo vans to deliver packages to locations at a 75-mile radius from the warehouse.
If delivery location is within 8 miles of the delivery boundary, a cargo van will still be used.
To find: The inequality to represent the instances when a vehicle other than a cargo van is used.
Solution:
Let x is the distance of a location from the warehouse.
Cargo van will be used if delivery location is within 8 miles of the delivery boundary.
Minimum distance for delivery = 75-8 = 67 miles.
Maximum distance for delivery = 75+8 = 83 miles.
So, the company uses cargo vans for any distance in the range 67 miles to 83 miles. So,
[tex]67\leq x\leq 83[/tex]
Therefore, the required inequality is [tex]67\leq x\leq 83[/tex].
Write a polynomial function in standard form with zeros at 0, 1, and 2.
f(x) = x(x - 1)(x - 2)
f(x) = x(x + 1)(x + 2)
f(x) = x3 – 3x2 + 2x
f(x) = x3 + 3x2 + 2x
Answer:
the first one is correct
Answer:
b
Step-by-step explanation:
find the profit or loss percent of a goat which was bought at rupees 1450 and sold at rupees 1740
Answer:
20% profit
Step-by-step explanation:
Given:
Cost = 1450Sold for = 1740Profit:
1740 - 1450 = 290Profit percent:
290/1450*100% = 20%Answer:
c.p=1450
s.p=1740
profit=s.p-c.p
=1740-1450
=290
WILL GIVE BRAINLIEST Chapter 12 Probability Review
1. (a) You draw a marble from a bag with one orange marble, three purple marbles, and two
yellow marbles. Then you roll a die. Draw a tree diagram of the sample space.
REMEMBER:
2. (a) You randomly select
two cards from a
standard 52 card deck.
What is the probability
that both cards are a
heart if you replace the
(b) You randomly select two
marbles from a bag of 3 green, 2
red, and 5 blue marbles. What is
the probability that both
marbles are blue if you do not
replace the marble each time?
If independent:
P(A and B) = P(A) P(B)
Find the critical point of the function f(x) = x2 – 2x + 7.
Answer:
[tex]x=1[/tex] is a critical point of the function [tex]f(x).[/tex]
Step-by-step explanation:
[tex]f(x)=x^2-2x+7[/tex]
Differentiate both sides w.r.t. [tex]x[/tex]
[tex]\Rightarrow f'(x)=2x-2[/tex]
Now, [tex]f'(x)=0[/tex]
[tex]\therefore 2x-2=0[/tex]
[tex]\Rightarrow 2x=2[/tex]
[tex]\Rightarrow x=1[/tex]
Hence, [tex]x=1[/tex] is a critical point of the given function.
solve for y 4y-36x=28
Answer:
[tex]y = 9x + 7[/tex]
Step-by-step explanation:
To solve for y, our goal is to get it isolated on one side of the equation.
[tex]4y - 36x = 28[/tex]
Let's add [tex]36x[/tex] to both sides of the equation.
[tex]4y = 36x + 28[/tex]
Now divide both sides by 4.
[tex]y = 9x + 7[/tex]
Hope this helped!
Answer:
4y-36x = 28........... :4
y-9x = 7
y = 7+9x or y = 9x+7
The principal on Jan’s loan was $4,700, but by the time she had paid it off after four years, the interest and principal totaled $5,388. If Jan made regular quarterly payments of $355 until the loan was paid off, how much did Jan pay for service charges?
Answer:
$292 in fees
Step-by-step explanation:
First, calculate the total payments Jan made over the 4 years
$355 x 4 payments per year x 4 years = $5,680
Then, calculate the total payments made and subtract the amount of Principal and Interest paid from the total payments made.
$5,680 - $5,388 = $292
$292 is the FEE for the loan
$4,700 is the PRINCIPAL for the loan
$688 is the INTEREST for the loan
Answer:
The answer is 292
Step-by-step explanation:
HELP ME PLEASEEE!!!!!
Answer:
what do you need help with
Step-by-step explanation:
What is the mean of the following set of data? Round your answer to two decimal places.
{75, 79, 65, 77, 73, 79}
a 75.51
b 75.23
c 74.33
d 74.67
Answer:
74.67
Step-by-step explanation:
mean= sum of all data / total no. of data
= 75+79+65+77+73+79/6
= 74.66667
by rounding off,
ans is 74.67
Rachel enjoys outdoors. Today she wakes 5 2/3 miles in 2 2/3 hours. What is Rachels unit walking rate in miles per hour and in hours per mile
Answer:
2 1/8 mph.
Step-by-step explanation:
Distance= time x speed
Same way, Distance divided by time=speed.
In this situation, just divide 5 2/3 by 2 2/3.
Hope this helps!
Why is the answer true?
Hello, one way to see it is as below
[tex]\displaystyle F(2)-F(1)=\int_1^2 F'(t) dt=\int_1^2 G'(t) dt=G(2)-G(1)[/tex]
Another way is to notice that F'(x)=G'(x) means that F(x) and G(x) are only different from a real constant that we can note a, it means that
[tex](\forall x \in \mathbb{R}) \ (F'(x)=G'(x)) => (\exists a \in \mathbb{R});(F(x)=G(x)+a)[/tex]
and then F(2)-F(1)=G(2)-G(1)
thanks
Help Anyone please? Anyone
Step-by-step explanation:
Hey there!!!
Here, ABCD is a parallelogram.
We know that the one property of a parallelogram is:
It's opposite angle are congruent or equal.So,
3x-10° = x+45°
or, 3x - x = 45°+10°
2x = 55°
[tex]x = \frac{55}{2} [/tex]
Therefore the measure of angle x is 27.5°.
Hope it helps....
-3x - 6x = ? what's the answer
Answer:
[tex]-9x[/tex]
Step-by-step explanation:
Add/Subtract the terms:
[tex]-3x-6x=-9x[/tex]
HELP PLEASE ASAP how do i solve this question please help asap
Answer:
18 is the correct answer
Which expression has a negative value?
O 7+31-4)(2)
0-212-(-3)]
o (15-7)-(8-3)
-5[7+(-14)]-30
PLEASE HELPPPP
Answer:
(15-7)-(8-3)
Step-by-step explanation:
1.
[tex]7+(31-4)(2)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(31-4\right)\::\quad 27\\\\=7+27\left(2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\left(2\right)\:\\:\quad 54\\\\=7+54\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:7+54\:\\:\quad 61[/tex]
2.
[tex]-212-(-3)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=-212+3\\\\=-209[/tex]
3.
[tex](15-7)-(8-3)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(15-7\right)\::\quad 8\\\\=8-\left(8-3\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-3\right)\::\quad 5\\\\=8-5\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-5\:\\:\quad 3[/tex]
4.
[tex]-5[7+(-14)]-30\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left[7+\left(-14\right)\right]\::\quad -7\\\\=-5\left(-7\right)-30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-5\left(-7\right)\::\quad 35\\\\=35-30\\\\= 5[/tex]
What is the correct sequence of steps for caculating 9^6 on the scientific calculator?
Answer:
9x9x9x9x9x9
Step-by-step explanation:
What is 6.4 rounded to the nearest number!!!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
6
Answer:
6
Step-by-step explanation:
Find the number in the whole number place
6
6
and look one place to the right for the rounding digit on the right side of the decimal point
4
4
.Round up if this number is greater than or equal to
5
5
and round down if it is less than
5
5
.
6
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 85 miles per hour. The eastbound train travels 105 miles per hour. How long will it take for the two trains to be 456 miles apart? Do not do any rounding.
Answer:
Step-by-step explanation:
We'll make a table for this since we have 2 different trains for which we have formulas. We'll use the distance = rate * time formula, but we have to use it twice because we have 2 trains, then we have to come up with an equation that incorporates both of the distances of the 2 trains to come up with a time. Easy.
d = r * t
East train
West train
Now we can fill in. We know that the rate of the east train is 105 and the rate of the west train is 85, so we fill that in:
d = r * t
East train 105
West train 85
The time is what we are looking for, so that is the unknown for each train:
d = r * t
East train 105 t
West train 85 t
Since the formula is d = rt, we will multiply the rates of each times the time of each and fill in accordingly:
d = r * t
East train 105t 105 t
West train 85t 85 t
Here's an illustration to the best of my abilities in this forum:
<------------------------------|----------------------->
85t 105t
|----------------------456 miles-------------------|
The illustration is supposed to show you that the distance between the trains (456 miles) is found by adding the 2 distances together and solving for t:
85t + 105t = 456
190t = 456 so
t = 2.4 hours
Write the equation of a line perpendicular to the line:
y=−3/4x+5 that goes through the point (-1, -10).
Write your answer in slope- intercept form, using reduced fractions for the slope and intercept.
Answer:
y= 4/3x - 8.7777777777(reoccurring)
Step-by-step explanation:
ok for perpendicular slopes we use the negative reciprocal of the original slope so -3/4 turns into 4/3. next we take the equation y = 4/3x + b and plug in -1 for x and -10 for y to find B.
Someone help you know lol plzzzzzzzzzzzzzzzzzzz
Answer:
d(3) = - 25
Step-by-step explanation:
Using the recursive formula with d(1) = 3, then
d(2) = d(1) - 14 = 3 - 14 = - 11
d(3) = d(2) - 14 = - 11 - 14 = - 25
Thus the 3 rd term in the sequence is - 25