Answer:
see explanation
Step-by-step explanation:
The 2 angles are adjacent and supplementary, thus
2x + x + 84 = 180 , that is
3x + 84 = 180 ← required equation
Subtract 84 from both sides
3x = 96 ( divide both sides by 3 )
x = 32
Thus
∠ 1 = 2x = 2(32) = 64°
∠ 2 = x + 84 = 32 + 84 = 116°
does it matter if its -√24 or √-24
Answer:
Yes it really does, you CAN NOT FIND THE SQUARE ROOT OF A NEGATIVE.
Step-by-step explanation:
Sorry if I came off as aggressive, I just wanted to get the point across.
Plz plz plz I need 546463+54543 times 64 it’s due in 4 min
Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.
Hey hope someone can figure this out hopefully it's not that hard.
A chocolate box has the shape of a prism with a base that is a
rhombus. Each side length of the rhombus is 3.6 cm.
The angles between adjacent sides of the base are 60° and 120°.
The prism is 10.8 cm long.
a) Draw a net for this box.
b) How is your net different from the cardboard net from
which the box is made? Explain.
Part (a)
See the diagram below for the net for this box. We have two rhombuses that are the two bases of the rhombic prism. The six rectangles form the lateral sides.
In geometry, a net is effectively the outer surface of a 3D object, but it has been laid flat on a plane. Think of unwrapping a present without throwing any pieces away. The net would be the wrapping laid out flat. As another example, a net of a cardboard box would be laying the box flat. So you're unfolding the box. This is mentioned in part (b).
====================================================
Part (b)
The main difference from this net compared to a net for a cardboard box is that everything is a rectangle for a cardboard box. This is because a cardboard box folds up into a rectangular prism.
So in the diagram below, you'll replace each rhombus with a rectangle. You'll make all four angles 90 degrees.
1. Determine which of the congruency shortcuts can be used to prove that point
the triangles are congruent.
+
SSS
SAS
ASA
AAS
HL
Not enough information
Answer:
SSS
Step-by-step explanation:
it shows that all three sides are congruent by the congruency lines
it does not show any angles, and it does not show only one or two sides are congruent
Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?
Answer:
First payment (50%) would be 512$
The next two payments would be 32$ each
Explanation:
.5(1024)= 512
.25(512)=128
.25(128)= 32
a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form
Answer:
y= 8x +9
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 8, m= 8.
Substitute m= 8 into the equation:
y= 8x +c
Given that the y-intercept is 9, c= 9.
Substitute c= 9 into the equation:
y= 8x +9
Thus, the equation of the line is y= 8x +9.
What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
Give your answer rounded to 2 DP. PLSE help
Answer:
1,123.30
Step-by-step explanation:
first of all, you are decreasing 1015 by 6 percent so it will be
1015 * 0.93 because you are decreasing it from the percentage
then, you are increasing it by 19 percent so you mulitply what you got on the previous calculation and multiply it by 1.19
943.95 * 1.19
and answer will be 1,123.30
In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?
Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:
Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeansTo find the number of yellow jellybeans:
= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total
= 6 / (6 + 5 + 4) x 60
= 24 yellow jellybeans
Orange jellybeans:
= 5 / 15 x 60
= 20 orange jellybeans
Red jellybeans:
= 4 / 15 x 60
= 16 red jellybeans
In conclusion, there are several colors of jellybeans.
Find out more at https://brainly.com/question/14493658.
Solve the equation for x.
Answer:
x = 5
Step-by-step explanation:
4(x-1)/8 = 2(x+2)/7
7*4(x-1) = 8*2(x+2)
28(x-1) = 16(x+2)
28*x + 28*-1 = 16*x + 16*2
28x - 28 = 16x + 32
28x - 16x = 32 + 28
12x = 60
x = 60/12
x = 5
Check:
4(5-1)/8 = 2(5+2)/7
4*4/8 = 2*7/7
16/8 = 2*1 = 2
Every day, Savannah's burrito stand uses 3 bags of tortillas. How many days will 3/4 of a bag of tortillas last?
Answer:
Step-by-step explanation:
Set up a ratio.
3 bags/1 day = 2/3 bag/x day
Cross multiply to solve.
3x=2/3
So x=2/3(1/3)=2/9 of a day
Find two integers whose sum is 19 and product is 90
Answer:
Step-by-step explanation:
The two integers are 10 and 9
10 + 9 = 19
10 x 9 = 90
The two numbers are 9 and 10.
What are integers?A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero
Let the two integers be x and y.
Given that, the sum of the integers is 19, therefore,
x + y = 19
x = 19 - y
Given that, the product of the integer is 90:
xy = 90
(19-y)y = 90
19y - y² = 90
y² -19y + 90 =0
y² -10y - 9y + 90 = 0
y(y - 10) -9(y - 10) = 0
(y -9)(y - 10) = 0
y = 9 and y = 10
Hence, the two numbers are 9 and 10.
Learn more about integers:
https://brainly.com/question/15276410
#SPJ2
Question 1 of 10
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + 4y = 14
X= 3
O A. (3,5)
B. (2,3)
C. (3,12)
PREVIOUS
Type here to search
o
Answer:
The Answer is (3,2) I took the test on A.P.E.X.
⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️
THIS IS MY LAST ONE HELP
Answer:
15
Step-by-step explanation:
15 is half of 30, the output values are the input values divided by 2 :)
Forty of the staff of 85 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, what would be the expected mean, variance and standard deviation?
Answer and Step-by-step explanation:
The computation is shown below;
Here we use the binomial distribution
p = 40 ÷ 85 = 0.47
q = 1 -0.47 = 0.53
n = 180
Now
mean [tex]\mu[/tex]
= np
= 180 × 0.47
= 84.6
The Variance is
= npq
= 180 × 0.47 × 0.53
= 44.84
And, Standard deviation
= √npq
= √44.84
= 6.69
We simply applied the above formula so that the correct value could come
And, the same is to be considered
HELP ASAP OTS DUE IN 5 MINUTES!!!!
Find the slope of the line.
0-5
0 -1
O 1
None of the above
Answer:
0 -1
Step-by-step explanation:
because the line is going down which is negative
what is the answer to (-3)×(-5)
Answer:
15
Step-by-step explanation:
-3 x -5 = 15
4x + 5y = 30
5x + 3y = 31
Answer:
y=2
x=5
trust me its by calculator
Answer:
x=5
y=2 true......
Step-by-step explanation:
.............
If you are making a scale drawing of a giraffe that is 6m tall, and the height of the giraffe in your drawing is 3cm, what is the scale of the drawing? Thank you and please explain how you obtained your answer.
Answer:
The scale would be 200
Step-by-step explanation:
If your giraffe is 3 cm and the scale drawing of the giraffe is 6m, in one meter, there are 100 cm, and 6/2=3 you multiply 2 by the 100 cm in the meter which gives you 200. You could also say 6m divided by 3cm which would also give you 200 or 600/300=200.
For the function f(x) = x2 + 4x - 12 solve the following.
f(x) < 0
Answer:
(-6,2)
Step-by-step explanation:
[tex]f(x)<0[/tex]
We are given [tex]f(x)=x^2+4x-12[/tex].
So we need to solve:
[tex]x^2+4x-12<0[/tex]
First let's find when the expression on the left is 0.
[tex]x^2+4x-12=0[/tex].
The expression on the left is factorable.
Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.
Those numbers are 6 and -2 so the factored form is:
[tex](x+6)(x-2)=0[/tex]
So the solutions can be found be solving the following linear equations:
[tex]x+6=0[/tex] and [tex]x-2=0[/tex].
First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]
Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]
So draw a number line with those on it and test the intervals they divide.
--------(-6)--------(2)----------
So we need to test three intervals.
*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].
Let's plug in x=-8
[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].
[tex]f(-8)=(-8+6)(-8-2)[/tex]
[tex]f(-8)=(-2)(-10)[/tex]
[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.
So we will not include this interval in our answer.
*Plug in a number between -6 and 2 like 0.
[tex]f(x)=(x+6)(x-2)[/tex]
[tex]f(0)=(0+6)(0-2)[/tex]
[tex]f(0)=(6)(-2)[/tex]
[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.
So our solution includes the interval (-6,2).
*Plug in a number after 2 like 5.
[tex]f(x)=(x+6)(x-2)[/tex]
[tex]f(5)=(5+6)(5-2)[/tex]
[tex]f(5)=(11)(3)[/tex]
[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.
The answer only includes the interval (-6,2).
Plssss plsss help!! I can Venmo if that’s how u can help! Thank you!!
Answer:
And for number 10 the answer is (b)
I hope this helps, Happy learning!!!
Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?
Will give brainliest if correct.
Answer:
Step-by-step explanation:
a. $7.
b. $1x.
c. $20.
d. $5y.
e. $1x + $5y.
I hope this helps, sorry if I am incorrect. Have a nice day!
I need help with ANLGES!!!!
Answer:
32, consecutive interior angles are supplementary.
Step-by-step explanation:
We know that the two angles add up to 180, because consecutive interior angles are supplementary. So let's set up an equation equal to 180.
2x + 3x + 20 = 180
Now let's add like terms.
5x + 20 = 180
Now let's subtract 20 from both sides.
5x = 160
Now let's divide both sides by 5.
x = 32
Explain what is occurring in each chunk of the graph
Answer:
Please check the explanation.
Step-by-step explanation:
As the given graph includes distance 'd' at the y-axis and time 't' at the x-axis.
so from the distance-time graph, it is clear that the graph includes 5 chunks.
The first chunk of the graph indicates that the object has started traveling. And the distance 'd' is being covered in time 't', as the slope is upward, hence the speed of the object is increasing.
Please note that speed is basically the distance covered per unit time.The second chunk of the graph indicates the no distance is being covered. It means the object is at rest.
The third chunk of the graph indicates that the distance 'd' is being covered in time 't', as the slope is again upward, hence the speed of the object is increasing and the object has started traveling.
The fourth chunk of the graph indicates that the slope is downward, and the object has started traveling to get back to the destination, and eventually, the object has reached the starting point.
solve an equation x/17= -4
Answer:
-68
Step-by-step explanation:
X/17=-4
X=-68
So the answer is -68
hi can anyone please answer this?
Answer:
7 hours
Step-by-step explanation:
As you can see it costs 22.75 dollars for 3 and a half hours, which means that 45.50 dollars will allow you to park for 7 hours.
What is 78.5 rounded to the nearest hundredth
Answer:
There is no digit in the hundredths place, making this indeditable.
Answer:
it is already rounded to the nearest hundredth
Step-by-step explanation:
the number in the hundredths place would be zero, therefore the rounded number would be as it is (78.5)
d+7 divided by −3=4.
Answer:
- 19
Step-by-step explanation:
Step 1:
d + 7 ÷ - 3 = 4 Equation
Step 2:
d + 7 = - 12 Multiply
Step 3:
d = - 12 - 7 Subtract
Answer:
d = - 19
Hope This Helps :)
A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is used?
Answer:
4 cups of mayonnaise.
Step-by-step explanation:
The ratio of the amount of pecans comparing reality and the recipe is:
1 : 3/8
= 1/(3/8)
= 8/3
Hence, to find the amount of mayonnaise that should be added:
8/3 * 3/2
= 8/2
= 4 cups
Hope this helped!
does opposites name the same location on a number line.
Answer:
I'm not sure but maybe this will help
Step-by-step explanation:
- 3 and 3 are located on opposite sides of zero. They are the same distance from zero. 3 and -3 are called opposites.