Answer:
Exterior angle is same as the sum of non-adjacent interior angles.#18
m∠3 = 43° + 22° = 65°#20
123° = 90° + m∠4 ⇒m∠4 = 123° - 90° = 33°18) Solution
By using exterior angle is same as the sum of non adjacent interior angles.
→ m<3 = 43° +22°
→ 65°
20) Solution
By using exterior angle is same as the sum of non adjacent interior angles.
→ 123° = 90° + m<4
→ m<4 = 123°-90°
→ 33°
Find the measure of angle A
Answer:
This is an isosceles triangle, meaning it has 2 congruent angles and one other angle.
Looking at this triangle, we know that ∠B = ∠C.
∠B = 57 degrees
All the angles in a triangle add up to 180, so you need to subtract the two values from 180 to get ∠A.
∠A = 180 - 57 - 57
= 66 degrees
Hope this helps!
who understands this sum?
Answer:
$31728
Step-by-step explanation:
sorry if I'm wrong
What value of x will make the triangles similar by the
SSS similarity theorem?
Answer:
x=28
Step-by-step explanation:
Hi there!
SSS similarity theorem is a theorem that can determine similar triangles; the criteria for SSS~ is that the corresponding sides of the triangles create proportions which is the same as the ratio of similitude (k)
First, we need to find the ratio of similitude.
We need to assume that the triangles are similar.
15 corresponds with 20 (if you turn both triangles until they're titled the same way, you will see that 15 and 20 are the measures of the same sides on the triangles)
so that means 15/20 must make the ratio of similitude
15/20 is equal to 3/4
therefore k=3/4
as the triangle is already assumed similar, that means that 21/x will also give us a ratio that is equal to 3/4 (ratio of similitude)
therefore, 21/x=k
Since both ratios are equal to k, set 3/4 and 21/x equal to each other. This is possible via a property called transitivity (if a=b and b=c, then a=c)
3/4=21/x
cross multiply
3x=84
divide both sides by 3
x=28
So that means that 28 will make the triangles similar by SSS similarity
*you double check by doing 21/28 and see that it's also equal to 3/4
Hope this helps!
8. A warehouse 25 feet tall casts a shadow that is 15 feet long. At the same time of day, how
long is the shadow cast by an apartment building that is 90 feet?
Answer:
D
Step-by-step explanation:
A bank account starts with $3.00. The amount in the account doubles every year .
Answer:
Step-by-step explana
multiply it by 2 or sdd itself to it
The account will have $1536.007 after 9 years.
Part A:
To express the total amount of money A(t) in the account after 7 years, we can use the formula:
A(t) = P[tex](2^t)[/tex]
where:
A(t) is the total amount in the account after t years,
P is the initial amount in the account (starting with $3.00 in this case),
t is the number of years.
Substituting the values into the formula, we get:
A(t) = 3 ([tex]2^7[/tex])
A(t) = 3 x 128
A(t) = 384
Therefore, the total amount of money in the account after 7 years is $384.
B) To find out after how many years the account will have $1536.007, we need to solve the equation:
1536.007 = 3 [tex](2^t)[/tex]
Dividing both sides of the equation by 3, we get:
512.0023333333 = [tex]2^t[/tex]
Taking the logarithm (base 2) of both sides, we have:
log2(512.0023333333) = t
t = 9.000317.
Therefore, the account will have $1536.007 after 9 years.
Learn more about Equation here:
https://brainly.com/question/29538993
#SPJ2
5 to the power -2 * 5x is equal to 1 solve for x
5^-2 * 5x = 1
Simplify:
5^-2 = 1/25
Now you have 1/25 * 5x = 1
1/25 x 5 = 1/5
1/5x = 1
Divide both sides by 1/5 ( when dividing by a fraction, flip the fraction over an multiply)
x - 1 x 5/1 = 5
X = 5
Answer:
x = 5
Step-by-step explanation:
This statement translates into 5^(-2)*5x = 1, which by rules of exponents simplifies to:
5x x
--------- = 1, or ----- = 1
5^2 5
Cross-multiplying, we get x = 5
move numbers to the lines to complete the sentence about the image A’B’C’D .
line segment A’B has the length of (blank) units , the line segment C’D’ has a length of (blank) units
2. 3. 4. 5. 6. 8.
Answer:
first blank- 2 second blank- 3 1/2 or 4 may be 3 too
Step-by-step explanation:
well when you look at the shape you can go from a to b and count the blocks which it would be 2
and you would want to do the same thing with C,D
how do you translate "six more than x is equal to four." as a equation.
Answer:
6>x=4
hope that helps!
please mark brainiest<3
Holly cuts 2 ribbons into tenths for a craft project how many 1/10 size ribbons does she have
Answer:
Holly would have 20 1/10 sized ribbons.
Step-by-step explanation:
One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.
George rolls a six sided die. What is the possibility that he rolls a 1 or a prime Number.
Answer:
1: 16.7%
prime number: 50%
Step-by-step explanation:
divide the numbers
Answer:
2/3
Step-by-step explanation:
There are 6 possible numbers
all of the prime numbers from 1 to 6 are
2, 3, 5 ( plus 1 because this problem is counting 1 along with the prime numbers)
That is 4 numbers
4 out of 6 numbers
so there is a 4/6 or 2/3 chance that George will roll a 1 or a prme number
HELP PLZZZZZZZ ITS FOR A TESTTT
Answer:
x = 9 , y = 27
Step-by-step explanation:
Given that the given polygons are similar , So their corresponding sides will be proportional .
Look at the base sides . They are 32 & 24. So the , ratio of sides is ,
=> Ratio = 32/24 = 4/3 .
This ratio will be same for all sides .
So that ,
=> x - 1 / 6 = 4/3
=> 3x - 3 = 24
=> 3x = 27
=> x = 9
Similarly ,
=> y + 1 / 21 = 4/3
=> 3y + 3 = 84
=> 3y = 81
=> y = 27
So the correct choice is last option .
what is the a value of the vertex form...
y = (x - 3 )^2 - 36
Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)
Step-by-step explanation:
Kinda did it-
Last question of the day :)
Answer:
yehshjdjejrdjjej3u Rudd ixjje
Find the quotient of
x3−4x2−4x+16x−2
Answer:
x^2 - 2x - 8.
Step-by-step explanation:
Using long division:
x - 2)x^3 - 4x^2 - 4x + 16( x^2 - 2x - 8 <------ Quotient
x^3 - 2x^2
-2x^2 - 4x
-2x^2 + 4x
- 8x + 16
-8x + 16
............
Which parallelograms have perpendicular diagonals
Answer: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus. To prove a square, you must prove it is both a rectangle and a rhombus.
Which is a quadratic function?
A y = X-9
B y = x² +9
C y = x + 2x -9
Answer:
B y = x² +9
Step-by-step explanation:
A quadratic function must have the highest power of x being x^2 and must have an x^2 term
A y = X-9 - linear
B y = x² +9 quadratic
C y = x + 2x -9 - linear
Montraie is driving on a long road trip. He currently has 13 gallons of gas in his car.
Each hour that he drives, his car uses up 1 gallon of gas. How much gas would be in
the tank after driving for 6 hours? How much gas would be left after t hours?
Answer:
7 gallons
Step-by-step explanation:
Montraie is driving on a long road trip
He currentlyhase 13 gallons of fuel in his car
Each hour that he drives, he uses up 1 gallon of fuel
Therefore the amount of gas that would be left after 6 hours can be calculated as follows
= 13-6
= 7
Hence there will be 7 gallons of fuel left
=
find -15(-8)
A. 120
B. 80
C. -23
D. -120
Answer:
A
Step-by-step explanation:
-15(-8)
=+(15*8)
=120
So, the ans is A
Find the equation of the line with a slope of 2 and a point of (5,11)
PLEASE HELP !!!! THANKS !!!
Answer:
y=2x+1
Step-by-step explanation:
Hi there!
We are given the slope (m), which is 2, as well as the point (5,11).
We need to find the equation of the line.
There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept
We're already given the slope (2), so we can substitute it into the equation right away
here's the equation so far:
y=2x+b
now we need to find b.
We can do this by plugging (5,11) into the equation, as the line passes through that point.
Substitute x as 5 and 11 as y
11=2(5)+b
multiply
11=10+b
subtract 10 from both sides
1=b
substitute 1 as b into the equation
y=2x+1
Hope this helps! :)
which tessellation uses more than one type of regular polygon?
Answer:
semi-regular tessellations
Step-by-step explanation:
PLEASE HELP HURYYYYYYYYY
Answer:
273 - 153.94 = 119.1 [tex]in^{2}[/tex]
Step-by-step explanation:
area of a trapezoid - area of a circle = shaded area
Activity 1 : Complete Me Directions write the statement or a reason and two column proof used two different definitions postulates theorems in geometry to support the given statement.
Paki ANSWER naman
Helppp quick! That’s the question^ please help guysss
Answer:
The slope represents the cost per gallon for heating oil while the y-intercept represents the fee for heating oil.
i need help with #2 and #6 pleaseeeeee
Answer:
Area of the rectangle = x² - 3x - 10
2019
Step-by-step explanation:
Length of the rectangle = x + 2
Width of the rectangle = x - 5
Area of the rectangle = length × width
= (x + 2) (x - 5)
= x² + 2x - 5x - 10
= x² - 3x - 10
Area of the rectangle = x² - 3x - 10
C = 20t² + 135t + 3050
Where
C = the number of new cars
t = year the number of new cars was purchased
t = 0 corresponds to 1998
Find the when c = 15,000
C = 20t² + 135t + 3050
15,000 = 20t² + 135t + 3050
20t² + 135t + 3050 - 15,000 = 0
20t² + 135t - 11,950 = 0
4t² + 27t - 2390 = 0
Solve using quadratic equation
t = -b ± √b² - 4ac / 2a
= -27 ± √27² - 4(4)(-2390) / 2(4)
= -27 ± √729 -(-38240) / 8
= -27 ± √729 + 38240 / 8
= -27 ± √38969 / 8
= -27/8 + √38969/8 or 27/8 - √38969/8
= -3.375 + 197.41/8 or -3.375 - 197.41/8
= -3.375 + 24.67625 or -3.375 - 24.67625
t = 21.30125 or - 28.05125
t cannot be negative
Therefore,
t = 21.30125
To the nearest whole number
t = 21
Recall,
t = 0 corresponds to 1998
Therefore
1998 + 21 = 2019
c = 15,000 in the year 2019
f(x) = 2x-1
What kind of shift is represented?
Hi there!
»»————- ★ ————-««
I believe your answer is:
A vertical shift down one unit.
»»————- ★ ————-««
Here’s why:
A chart showing the rules of function transformations are shown. The equation shown is the parent function of '2x' that is shifted 1 unit down. If the number was inside the x [like (x - 1)] it would be a horizontal transformation. Since it's outside we would consider it to be a vertical shift.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which of the following equations correctly represents the distance between points (1, -1) and (-2, 2)?
Answer:
3√2
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√(-2 - 1)² + [2 - (-1)]
√(-3)² + (3)²
√9 + 9
√18
= 3√2
PLEASE HELP QUICKLY!!! Use the following image to answer the questions below:
4 out of every 12 children in a school are girls. What is the ratio of boys to girls in the school?
Answer:
1:3. That's the answer to this question.
A company has designed its new packaging for products to be shaped liked the prism shown. If the cost of packaging is $0.03 per square inch, find the total cost of the package shown. (10 inches horizontally, 4 inches vertically, and 4 inches on the side)
Answer:
$5.76
Step-by-step explanation:
We solve using the formula of the area of a rectangular prism
A = 2(LW + LH + WH)
The dimensions of the package are given as: 10 inches horizontally, 4 inches vertically, and 4 inches on the side
=2 × (4 × 10 + 4 × 10 + 4 ×4)
=192 square inches
If the cost of packaging is $0.03 per square inch, the total cost of the package is calculated as:
1 square inch = $0.03
192 square inches = x
Cross Multiply
= 192 × $0.03
= $5.76
Henry is buying orange juice to make punch for a party. He can buy the juice in 32-oz cartons for $2.56 each or 48-oz cartons for $3.36 each. Which is the better value? Use the drop-down menus to explain your answer.
Answer:
the 48
Step-by-step explanation:
fairly obvious