Answers
9514 1404 393
Answer:
k = 10
Step-by-step explanation:
The useful shortcut* here is that the external angle is equal to the sum of the remote internal angles.
115° = (4k+5)° +(6k+10)°
100° = 10k° . . . . . . collect terms, subtract 15°
k = 10 . . . . . . . . . . divide by 10°
_____
* I call it a shortcut because you can get there from the relations ...
the sum of angles in a triangle is 180°a linear pair has a sum of 180°If we call the internal angles X, Y, and Z, then we have ...
X + Y + Z = 180° . . . triangle sum relation
Y + 115° = 180° . . . . . linear pair relation
Equating the expressions for 180° gives ...
X + Y + Z = Y + 115°
X + Z = 115° . . . . . . . . . subtract Y from both sides
Related Questions
What are the factors of -11x + 15 = -2/2 ?
a.y=(22+5)(2+3)
b.y= (2x - 5) (2 – 3)
c. y=(21 – 1) (2 – 15)
d.y= (2x + 1) (3 +15)
Answers
Answer:
c
Step-by-step explanation:
[tex] as \: a \: dicimal \: \frac{11}{40} = 0.275 \\ work \: out \: \frac{33}{400} \: as \: a \: dicimal[/tex]
Answers
Answer:
0.0825
Step-by-step explanation:
33/400=0.0825
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 20 in
x 20 in x 15 in. The company rents a storage space that measures 400 ft x
200 ft x 40 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 6000 boxes
O B. 320,000 boxes
O c. 552,960 boxes
O D. 921,600 boxes
Answers
921,600
Step-by-step explanation: Ap3x
Select the correct answer.
If 32% of a number is 64, what is the number?
A 50
B. 96
C. 100
D. 200
Answers
Answer:
20.48
Step-by-step explanation:
the answer is not in d option
Answer:
D. 200
Step-by-step explanation:
Let the number to be found be y.
Therefore, according to the question, we have the following linear equation:
32/100 × y = 64
Therefore, y = (64 × 100)/32 = 200
Hence, y is 200 and 32% of 200 is 64.
HELPPP! I need step by step!
Answers
Answer:
Step-by-step explanation:
P(A) = Probability of a student knowing how to play guitar
= no. of students who know how to play guitar / total no. of student
= 144/200
= 0.72
P(B) = Probability of a student is left-handed
= no. of students who is left-handed / total no. of student
= 141/200
= 0.705
P(A) and P(B) are calculated to be two real numbers and do not depend on each other. So event A and B are independent.
Answer:
Step-by-step explanation:
P(A) = 144/200 = 0.72
P(B) = 141/200 = 0.705 = 0.71
The two probabilities are similar but different. From the table, a large number of students who play guitar are also left-handed: 116. So the two probabilities are NOT independent - if u are left-handed, u are more likely to play guitar n vice versa.
A solid has 20 faces and 12
vertices. How many edges
does it have?
Euler's Formula: F + V - E = 2
Enter
Answers
Answer:
30
Step-by-step explanation:
20+12-E=2
32-E=2
-E=-30
E=30
Find the volume of the prism
Answers
Find the diameter of each circle.
Answers
7.8
They give you the radius, which is half the diameter.
3.9 * 2 = 7.8
answer:
1. 7.8 km
2. 17 ml
step-by-step explanation:
for the first one, we are given the radiusknow that, the diameter is two times bigger than the radiusso, for both of these we have to multiply what is given by 21 — 3.9 X 2 = 7.8 km
2 — 8.5 X 2 = 17 mi
The principal was very _____ about the closed lunch policy and would not change his mind
Answers
simplify 4cd + 6d + 9c - 4cd
Answers
Answer:
6d+9c
Step-by-step explanation:
Answer:
6d+9c
Step-by-step explanation:
find the perimeter of the figure
Answers
as we are to find the perimetre of a circle 2πr
it will be 87.96m
since its a semi circle lets just divide by 2
now we get our answer that's 43.96m
Predict the number of deer in a 25 square mile section of the mountains based on the sampling from the figure
Help please it’s a test!
Answers
Answer:
E. 425
Step-by-step explanation:
Assuming that since there are 17 deer in one square, there must be 17 in each square, and knowing there are 25 squares, the answer is equal to 17*25 = 425
2 friends want to equally share of a bag of chocolate cookies. What
fraction of the bag will will each friend get to eat?
Answers
Answer:
is this a joke question? it is very easy. one half or 1/2
Step-by-step explanation:
Which set of shapes could be used to form a net for a square tvyranni?
01 square and 4 triangles
O 2 squares and 4 triangles
O l square and 4 rectangles
O 2 squares and 4 rectangles
Answers
Carlos is building a screen door. He height of the door is 1 foot more than twice the width. What is the width of the door if the height is 7 feet?
Answers
Answer:
The answer is 3 feet.
Step-by-step explanation:
First, the height is 7 right. Then take away 1 foot since is said 1 foot more than twice the width. Then divide by 2 meaning twice. Meaning 7-1=6 6/2=3. There you go! Hope these formulas helped!
Answer:
3 feet
Step-by-step explanation:
To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:
2w + 1, and this is equal to the height, so
2w + 1 = h
Now, we are given the height is 7. We substitute 7 where the height, h, is.
2w + 1 = 7
We can subtract 1 from both sides and divide by 2 to isolate x:
2w + 1 = 7
-1 -1
2w = 6
w = 3 - the width is 3 feet
pls help fast!!!! what is x
Answers
Answer: 12
Step-by-step explanation: Plug in and use pythagorean theorem
3.2468 rounded to the nearest
hundredth
and thousandth
Answers
Answer:
3,266.53
Step-by-step explanation:
Rounded to the nearest hundreth thousandths
Find the sum of the arithmetic series given a1=8,a14=99,n=14.
Answers
Answer:
The sum of the series is: 749
Step-by-step explanation:
Given
[tex]a_1 = 8[/tex]
[tex]a_{14} = 99[/tex]
[tex]n = 14[/tex]
Required
The sum of the series
This is calculated using:
[tex]S_n = \frac{n}{2}[a_1 + a_n][/tex]
Substitute 14 for n
[tex]S_{14} = \frac{14}{2}[a_1 + a_{14}][/tex]
[tex]S_{14} = 7[a_1 + a_{14}][/tex]
Substitute values for a1 and a14
[tex]S_{14} = 7[8 + 99][/tex]
[tex]S_{14} = 7*107[/tex]
[tex]S_{14} = 749[/tex]
Help pls!!! ASAP!!! Thank you
Answers
Which of the following are solutions to -2.7 + x = -3.5?
You can have more than one answer!!!
Group of answer choices
-3.5 + 2.7
3.5 - 2.7
-3.5 -(-2.7)
-3.5 - 2.7
Answers
Answer:
-3.5+27
Step-by-step explanation:
-2.7+x=-3.5
x=-3.5-(-2.5)
x=-3.5+2.5
x=2.0
Check image, 7th grade work.
Answers
A teacher wrote this experssion on the board (-6)(2)+(-8÷4) what is the vaule of this expression
Answers
Answer:
-14
Step-by-step explanation:
(-12)+(-2)
You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)
The answer is the two values added together.
please help !! asap !!
Answers
help!!
here are the options
AB←→
is a chord.
AB←→
is a tangent line.
AB←→
is a diameter.
AB←→
is a secant line.
Answers
Answer:
AB←→
is a secant line.
Step-by-step explanation:
Not a chord because a chord ends and begins on a circular arch. (on the circle edge)
Cannot be a tangent line because a tangent line never touches the inside of a line.
Cannot be the diameter because a. it is always just inside the circle and I think it is the longest line (strait in the middle)
Can only be a secant line
In geometry, a secant of a curve is a line that intersects the curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant will intersect the circle at exactly two points.
What is the radius of circle OOO?
Answers
Answer:
huh?
Step-by-step explanation:
Answer:
What is the diameter?
Step-by-step explanation:
Your radius is half of your diameter
The diameter of a circle is 15 ft. Find its circumference in terms of \piπ.
Answers
Answer:
47.1 ft
Step-by-step explanation:
dx[tex]\pi[/tex]=C
15x3.14=
47.1
Answer:
18
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEE
Answers
Answer:
d is equal to 4
Step-by-step explanation:
to do this problem divide both sides by 0.5 to isolate the variable d
0.5d = 2
d = 4
Answer:
4
Step-by-step explanation:
You want to get d all by its self. So, divide both sides by 0.5.
2 ÷ 0.5 = 4
d ÷ 0.5 = d
Then you get:
d = 4
Hope this helps!
Someone help! I will really appreciate it if someone helped me.
Answers
Answer:
A
E
F
Step-by-step explanation: there the even ones
To solve y and x, I am adding a picture
Answers
Answer:
[tex]x =\sqrt 5[/tex]
[tex]y = \sqrt{5[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Solve for x
Considering angle 45 degrees, we have:
[tex]\cos(45) = \frac{y}{\sqrt{10}}[/tex] --- cosine formula i.e. adj/hyp
Solve for y
[tex]y = \sqrt{10} * \cos(45)[/tex]
In radical form, we have:
[tex]y = \sqrt{10} * \frac{1}{\sqrt 2}[/tex]
[tex]y = \sqrt{10/2}[/tex]
[tex]y = \sqrt{5[/tex]
To solve for x, we make use of Pythagoras theorem
[tex]x^2 + y^2 = (\sqrt{10})^2[/tex]
[tex]x^2 + y^2 =10[/tex]
Substitute for y
[tex]x^2 + (\sqrt 5)^2 =10[/tex]
[tex]x^2 + 5 =10[/tex]
Collect like terms
[tex]x^2 =10-5[/tex]
[tex]x^2= 5[/tex]
Solve for x
[tex]x =\sqrt 5[/tex]
What is the difference quotient of the function, g(a) = StartFraction 8 minus a Over 4 EndFraction?
PLEASE HELP
Answers
Given:
The function is:
[tex]g(a)=\dfrac{8-a}{4}[/tex]
To find:
The difference quotient of the function.
Solution:
Formula for difference quotient of the function f(x) is:
[tex]DQ=\dfrac{f(x+h)-f(x)}{h}[/tex]
We have,
[tex]g(a)=\dfrac{8-a}{4}[/tex]
The difference quotient of the function g(a) is:
[tex]DQ=\dfrac{g(a+h)-g(a)}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-(a+h)}{4}-\dfrac{8-a}{4}}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-a-h-8+a}{4}}{h}[/tex]
[tex]DQ=\dfrac{-h}{4h}[/tex]
[tex]DQ=-\dfrac{1}{4}[/tex]
Therefore, the difference quotient of the given function is [tex]-\dfrac{1}{4}[/tex].
Answer:
They are right, It is -1/4. The second one.
Step-by-step explanation:
Edge 2021