The sum of angles X and Z is 90°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle XYZ.
∠Y = 90°
Now,
The sum of the three angles must be 180°.
So,
∠X + ∠Y + ∠Z = 180
∠X + ∠Z = 180 - 90
∠X + ∠Z = 90
Thus,
∠X + ∠Z = 90
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Determining Angle Relationships in Right Triangles
Acute
Acute
Equal to
Step-by-step explanation:
see picture
Explain why the solution set of the inequality |x|<5 is the intersection of two sets, while the solution set of the inequality |x|>5 is the union of two sets.The solution of |x|<5 is the set of numbers that makes either of two inequalities true. The solution set of |x|>5 is the set of numbers that makes both of two inequalities true. The solution of |x|<5 is the set of numbers between −5 and 5. The solution set of |x|>5 is the set of numbers greater than 5. The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true. The solution of |x|<5 is the set of numbers less than −5. The solution of |x|>5 is the set of numbers between −5 and 5.
Answer:
The region of the [tex]|x|<5[/tex] is the common area between -5 and 5.
But there is no common area for the solution of [tex]|x|>5[/tex].
Step-by-step explanation:
Given two modulus functions:
[tex]1.\ |x|<5\\2.\ |x|>5[/tex]
Let us have a look at the definition of modulus function first:
[tex]|x|=\left \{ {-{x}\ if\ x<0 \atop {x}\ if\ x>0} \right.[/tex]
Now, solving the above given modulus functions one by one using the definition of modulus function.
Solution 1 :
[tex]\pm x <5\\\Rightarrow x<5, -x<5\\OR\\\Rightarrow x<5, x>-5[/tex]
Kindly refer to the attached diagram for solution.
The area shaded in the green color shows the solution for this equation.
Solution 2 :
[tex]\pm x >5\\\Rightarrow x>5, -x>5\\OR\\\Rightarrow x>5, x<-5[/tex]
Kindly refer to the attached diagram for solution.
The area shaded in the blue color shows the solution for this equation.
We can clearly observe that the region of the first equation is the common area between -5 and 5.
But there is no common area for the solution of the second equation.
Therefore, solution of [tex]|x|<5[/tex] has intersection and
solution of [tex]|x|>5[/tex] has union.
Answer:
The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true.
Step-by-step explanation:
A contractor purchases ceramic tile to remodel a kitchen floor. Each tile costs $4.00, and the adhesive and grouting material needed for the whole job costs $15.82. The contractor is charged a total of $655.82, how many ceramic tiles did the contractor purchase?
Answer:
160 tiles.
Step-by-step explanation:
First let's make an equation.
Each tile costs $4, let's make t=number of tiles.
+$15.82, and the total cost being $655.82
So ideally our equation would look like
4t+15.82=655.82
Now solve.
First, subtract 15.82 on both sides.
4t=640
Second, divide 4 on both sides to make the variable t by itself.
t=160
So, the contractor purchased 160 tiles.
which value does this point approximate?
Answer:
[tex]\sqrt{.06}[/tex]
Used a calculator to find all the square roots, .06's is 0.24, which is the closest out of all of the options to the graph.
David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4
Answer:
Step 3
Step-by-step explanation:
I did it on edg and got it right
also can I have some brainiest
Answer:
Step 3
Step-by-step explanation:
EDG2020
HOPE THIS HELPED!!! :)
1/2x + y p= 4 find y
Answer:
y = 4/p−x/2p
(4 over p is a fraction as well as X over 2p)
Answer: p=-x+8/2y
Step-by-step explanation: 1
2
x+yp=4
Step 1: Add (-1)/2x to both sides.
py+
1
2
x+
−1
2
x=4+
−1
2
x
py=
−1
2
x+4
Step 2: Divide both sides by y.
py
y
=
−1
2
x+4
y
p=
−x+8
2y
Answer:
p=
−x+8
2y
how do I subtract 4 5/6 - 1 2/3
please help due in 20min!
Answer:
-3, -1, & 5
Step-by-step explanation:
Estimate a 15% tip on a dinner bill of $62.35 by first rounding the bill amount to the nearest ten dollars.
how much will a 200kg hippo accelerate if we push it with a force of 800 N(newtons)
Answer:
a=4 m/s^2
Step-by-step explanation:
F=ma
a=F/m
a=800/200
a=4 m/s^2
What is this answer?
Answer:
A. 2
Step-by-step explanation:
It tries to trick you, but all you are going to do is multiply all the numbers together. -1*-8*(1/4)= 2 which is the same as xyz = 2
Hope this helped!!
is -3 plus pi a rational number or a irrational number
Answer:
irrational
Step-by-step explanation:
An irrational number has an endless number of digits to the right of the decimal
what is -19/20 as a decimal
Answer:
-0.95
Step-by-step explanation:
Answer:
-0.95 in decimal
Step-by-step explanation:
Jana earns 3 minutes of free time for
every 2 books she reads. If Jana has
half an hour of free time built up, how
many books has she read?
© 15
G 20
40
J 90
Math
Answer:
20
Step-by-step explanation:
(20 books / 2) * 3 = 30 minutes
3^4 x 3^8= 3 to the power of what
Answer:
3^12
Step-by-step explanation:
When the whole numbers are the same, add the exponents
Able has a younger sister and an older brother. - Able’s age can be represented by x. - Able’s sister is 4 years younger than him. - Able’s older brother is twice as old as he is. - The combined age of all three siblings is 32. How old is Able’s younger sister?
Answer:9
Step-by-step explanation:
I did the math
Given:
Able's age can be represented by x.
Able's sister is 4 years younger than him.
Able's older brother is twice as old as he is.
The combined age of all three siblings is 32.
To find:
The age of Able's younger sister.
Solution:
Able's age can be represented by x.
Able's sister is 4 years younger than him.
Age of Able's sister = (x-4)
Able's older brother is twice as old as he is.
Age of Able's older brother = 2x
The combined age of all three siblings is 32.
Add 4 on both sides.
Divide both sides by 4.
The age of Able is 9 years. So, age of his younger sister is
Therefore, the age of Able's sister is 5 years.
please help due in 30 minutes!!!!!!!
match the correct answer to each mathematical statement.
1. the reciprocal of 3/8
answer: 8/3
2. the reciprocal of 2 2/3
answer: 3/8
3. the product of -3/8 and 2 2/3
answer: -1
4. 3/8 divided by -2 2/3
answer: -9/64
5. the difference between -2 2/3 and -3/8
answer: -2 7/24
6. the sum of -3/8 and 2 2/3
answer: 2 7/24
hope this helps :)
-audrey <3
f(x)=4x2−16x+16 for x.
Answer:
(h, k). (2,0)
plz help what is 10 to the 8th power divided by 9.5 x 2.3
Answer:
24,210,526.31578947
Step-by-step explanation:
Plzsss help me i give u BRAINLIST
2. Use the distributive property to rewrite the following expression.
3(x+5)
The answer is 3x+15
You multiply the x and 5 by 3 to get 3x and 15
DUE SOON
evaluate -3 1/5 + 7 3/5 =
-5 +2 - 8 -(-14)= show work pls
Answer:
It's false their is no variable to solve it with i think you forgot to put the variable
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAIINLIES AND DONT PUT RANDOM WORDS
Answer:
8a. $432
8b. about 36 2/3 hours
9. %17.50 per article
10. $338.4 after 3 weeks
Step-by-step explanation:
To find means to cover. Choose the missing prefix.
1. pre
2. dis
3. in
4. con
it is B: Dis Hope this helps
BRAINLY PLS HELP I BEG YOU I NEED YOYR HELP ASP !
Answer:
3
Step-by-step explanation:
We can find the value of x using Euclidean theorem
√18^2 = 5 × x
18 = 5x
3 = x
Evaluate 6y - 2 by substituting each value for y.( show working out)
A) y= 1/3 B) y= 2.5
Answer:
A) 0
B) 13
Step-by-step explanation:
A) 6*1/3=2, 2-2=0. 6(1/3)-2=0
B) 6*2.5=15, 15-2=13. 6(2.5)-2=13
anyone know the answer to all of these, i Beg of you to help me !!
Answer:
Step-by-step explanation:
top right
a30/5=6x4= 24
b The whole number is itself/1 so 45 becomes 45/1. 45/1x2/9= 90/9 (10/1 or 10 simplified)
c The whole number is again simply itself over 1 when translated to a fraction so24 becomes 24/1. 24/1x1/6 = 24/6 (4/1 or 4 simplified)
Top left
a 8/24 simplifies to 1/3
b 16/24 simplifies to 2/3
bottom right
a 2/10 simplifies to 1/5
b 9/24simplifies to 3/8
bottom right
a 15/20 simplifies to 3/4
b 8/12 simplifies to 2/3
I hope this helps have a nice day:)
Which expression would represent the cost of one CD, if the total cost for three of them is $36?
3(36)
O 36-3
O
36
3
O3 + 36
Answer:
[tex] \frac{36}{3} [/tex]
Step-by-step explanation:
If there CDs cost $36, each one costs $12. Hope this helps!
Please answer correctly !!!!!!!! Will mark brainliest answer !!!!!!!!!!! Show your work !!!!!!!!!!!
Answer:
4x +8= 20
2x+3= 9
Step-by-step explanation:
4 times 3 equals 12 and 12+8 = 20
2 times 3 is 6 and 6+3=9
Answer:
4x+8=20
2x+3=9
Step-by-step explanation:
I used substitution.
I substituted x with 3 so
4(3)+8=20
same with the other one,
2(3)+3=9
Hope this helped!
Cheryl is curious how different amounts of sunlight will impact the growth of her tomatoes. She exposed some of her tomatoes to varying amounts of sunlight (in hours per day) and recorded the change in their circumferences (in centimeters) after a week. Her data is summarized in the table below.
Answer:graph B
Step-by-step explanation:
Answer:
GRAPH B
Step-by-step explanation:
make g the subject of the formula w = 7 - √g
Answer:
[tex](-w + 7)^{2}[/tex] = g
Step-by-step explanation:
w - 7 = -√g
-w + 7 = √g
[tex](-w + 7)^{2}[/tex] = g