Answer:
y + x + 90°=180°( sum of triangle=180°/Angeles of a triangle are supplementary)
y + x=180°-90°
there for x=y (Given by the theorem) OR two opposite angles of a triangle are equally
x+x= 90°/y+y=90° Note: Since y=x then sub y by x or y instead of the same equition (y=x)
x+x/y+y=90°
2x=90°
x=45°
or
x+y=90°
45+y=90°
y=90°-45°
y=45°
what is formed by the interior angle and exterior angle that share a side of the triangle?
A. a complementary angle
B. another angle
C. a linear pair
D. a vertical angle
Answer: C
Step-by-step explanation:
What is the volume of the triangular prism?
Answer:115.5
Step-by-step explanation:
hope this helped!!
Answer:
115.5m[tex]{}^{2} [/tex]
Step-by-step explanation:
The volume of a prism = 1/2 a × c × h
according to the image a appears to be 3 m she appears to be 7m. and height appears to be 11m.
=> 1/2 a × c × h
=> 1/2 3m × 7m × 11m
multiply 3, 7 and 11
=> 1/2 231
=> 231/2
=> 115.5m[tex]{}^{2} [/tex]
done at all I hope this help please mark me brainest^_^
does anyone know this shape?
Answer:
irregular 8-sided polygon or an irregular octagon
Step-by-step explanation:
The shape is an 8-sided polygon, also known as an octagon.
As the side lengths are not equal, it is called "irregular" (if the side lengths were equal then it would be called "regular").
So the shape is an irregular 8-sided polygon, or an irregular octagon.
100 POINTS WILL GIVE BRAINLIEST TO FIRST RESPONSE!!
Answer:
x=31.67[by rounding]
Step-by-step explanation:
As
sin=p/h
Here,
p=2.1
h=4
[tex]solution \\ sin(x )= \frac{2.1}{4} \\ sin(x) = 0.525 \\ \sin(x) = sin(31.66824325 )\\ x = 31.66824325[/tex]
Answer:
31.7°
Step-by-step explanation:
[tex]sin(x)=\frac{opposite}{hypotenus} \\x = sin^{-1} (\frac{2.1}{4} )\\x = 31.668 = 31.7(nearest\ tenth\ of\ a\ degree)[/tex]
Work out the value of the missing angle x.
Answer:
x = 5°
Step-by-step explanation:
Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.
If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.
Sum of exterior angles:
⇒ 45° + 90° + 25° + 90° + x° + (180° - 140°) + (180° - 115°) = 360°
⇒ 355° + x° = 360°
⇒ x = 5°
Lea drives for 4 hours at 65 km/h. Hanna drives 252 kilometers in 3 hours.
How far would Lea drive if she drove for 4 hours at the same speed as
Hanna?
Based on the calculations, the distance covered by Lea is equal to 336 kilometers.
Given the following data:
Lea's time = 4 hours.Lea's speed = 65 km/h.Hanna's distance = 252 kilometers.Hanna's time = 3 hours.How to calculate speed.Mathematically, speed is given by this formula;
[tex]Speed = \frac{distance}{time}[/tex]
Next, we would calculate Hanna's speed by using the above formula:
[tex]Hanna's\; speed = \frac{252}{3}[/tex]
Hanna's speed = 84 km/h.
For Lea's distance:
[tex]Distance = speed \times time\\\\Distance = 84 \times 4[/tex]
Distance = 336 kilometers.
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Which system of linear inequalities has the point (3, -2) in its solution set?
The second system of linear inequalities has the point (3, -2) in its solution set.:
y > -2 and y ≤ (2/3)x - 4
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The system of linear inequalities is given as follows:
1. y<-3
y≥(2/3)x-4
2. y>-2
y≤(2/3)x-4
Now, checking the given point (3, -2) satisfies the linear inequalities:
Substituting the values x = 3 and y = -2 in the inequalities 1, we get:
-2 > -2 (which is false)
For the inequalities 2, we get:
-2 ≤ (2/3)(3) - 4 => -2 ≤ -2 (which is true)
Therefore, only the second system of linear inequalities has the point (3, -2) in its solution set.
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here is the question
can you please help me with this
Answer:
D, E
Step-by-step explanation:
Each vector represents the horizontal and vertical translation amounts:
[tex]\left[\begin{array}{c}\text{translation right}\\\text{translation up}\end{array}\right][/tex]
Translation left or down will result in negative values for the corresponding translation amounts.
__
We can consider only the lower-left corner to determine the amount of translation.
A ⇒ Bhorizontal: 1 to -4, so -4-1 = -5 units
vertical: 2 to 0, so 0 -2 = -2 units
The translation vector is ...
[tex]\left[\begin{array}{c}\text{-5}\\\text{-2}\end{array}\right]\qquad\text{matches choice D}[/tex]
__
B ⇒ Chorizontal: -4 to -1, so -1 -(-4) = -1 +4 = 3 units
vertical: 0 to -4, so -4 -0 = -4 units
The translation vector is ...
[tex]\left[\begin{array}{c}\text{3}\\\text{-4}\end{array}\right]\qquad\text{matches choice E}[/tex]
I need help with. Number 5 please help me
Answer:
0.11
Step-by-step explanation:
A baseball cap costs $8. A matching shirt costs 4 times as much as the cap. Which of the following can be used to determine the cost of the shirt?
A 8 divided 2
B 8-4
C 8+4
D 8x4?
Please help and and explain why thank you
Answer: 8 x 4
Step-by-step explanation:
if the hat is 4 TIMES the baseball cap then u should multiply. anytime “times” is in a sentence like that it’s an automatic flag/reminder that multiplication is needed
Answer:
D.
Step-by-step explanation:
The matching shirt costs 4 times as much as the cap; The cap is $8. In that case, the question just told us the answer. 4 times $8 = 4*8 or 8*4 = $32. So if you had to determine the cost, the shirt is $32.
Which equation form is the best to find the y-intercept?
Hi! I hope you're enjoying your day!
The best equation form is Slope-Intercept form (y=mx+b), where the letter m stands for the slope of the line and the letter b stands for the y-intercept of the line (where the graph touches the y-axis).
Why is Slope-Intercept the best form?
Because if you know y=mx+b, and you know what every variable means (m & b), then all you have to do is look at the equation and determine the y-intercept.
Example:
Suppose we have the following equation:
[tex]\bold{y=0.7x-6}[/tex]
What is the y-intercept of this line?
Hint: Look at the equation.
That's right. The y-intercept is -6.
Hence, the best equation form is
[tex]\boxed{\boxed{\bold{Slope-Intercept\:Form}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's & Jim's age. Find the present age of each one of them.
Carla: ________ Jim: ________ Peter: _______
Answer: Carla: 5, Jim: 6, Peter: 9
Step-by-step explanation:
Let c be Carla's age, j be Jim's age, and p be Peter's age.
We can set up equations.
We already know that c = 5
j + 13 = p
p-1 = 2(c - 1 + j - 1)
Combine like terms:
p - 1 = 2(c + j - 2)
Distribute:
p - 1 = 2c + 2j - 4
p + 3 = 2c + 2j
We can plug in the value of 5 for c.
p + 3 = 10 + 2j
2j + 7 = p
We can plug in j + 13 for p.
2j + 7 = j + 13
Combine like terms:
j = 6
Therefore, p = 6 + 13 = 9
3.2 ÷ 0.05=
Please someone help me
Answer:
64 po Ang sagot sana makatulong
The circumference of a circle is 19π m. What is the area, in square meters? Express your answer in terms of
π.
Answer:
A = 90.25pi sq m
OR = 361pi/4 sq m
Step-by-step explanation:
If the circumference is 19pi, then the diameter is 19.
C = pi•d
19pi = pi•d
19 = d
If the diameter is 19, then the radius is 9.5.
The radius is always half of the diameter.
Then we can find the area.
A = pi•r^2
=pi•9.5^2
=90.25pi
We don't often see a decimal number coefficient for pi. So as an improper fraction, 90.25 which is 90 1/4 is
(90×4)+1 over 4
= 361/4
Area = (361/4)pi
=361pi/4 sq meters
What is an equation of the line that passes through the points (-8, -8)(−8,−8) and (-8, 8)(−8,8)?
Answer: x=8
Step-by-step explanation:
Find the value of y for the given value of x.
y=2−9x ;x=2/3
[tex]y = 2-9(\frac{2}{3} ) = 2 - 3*2=2-6=-4[/tex]
Hope that helps!
If m = 5 and n = 3, evaluate 2m + 6n
The answer would be 28.
Because m=5 and n=3 we would substitute those values in the corresponding equation. So our new equation would be 2(5) + 6(3). From here we follow the rules of PEMDS (Parentheses, Exponents, Multiplication, Division, Subtraction [or addition if present]). Now we multiply our values and then add. 2×5 is 10 and 6×3 is 18. 10+18=28, thus giving us the answer of 28.
Simplify the picture is attach
John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs to maintain a ratio of pumpkin to green beans of 3 to 2. If he wants to use a total of 85 cans, how many cans of green beans should he use? HELPPP I NEED AWNSERS
Answer:
f i think andrew upright here's here's etext ueber yourself greatly they'd
Mark and Jennifer each purchase one raffle
ticket. If a total of thirteen raffle tickets are
sold and two winners will be selected, what is
the probability that both Mark and Jennifer
win?
Answer:
12 the probability that both mark and jennifer win
help me with this: How many residents were surveyed?
15 1/3  divided by 3 5/6
Answer:
4
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
463/3÷23/6(fraction)
Applying the fractions formula for division,
=46×63×23(fraction)
=27669(fraction)
Simplifying 276/69(fraction), the answer is
=4
Answer:
[tex]\displaystyle 4[/tex]
Step-by-step explanation:
Transform the mixed numbers into improper fractions:
[tex]\displaystyle 15\frac{1}{3} \div 3\frac{5}{6} \hookrightarrow \frac{46}{3} \div \frac{23}{6} \rightarrow \frac{2}{\frac{1}{2}} \\ \\ \boxed{4}[/tex]
I am joyous to assist you at any time.
A line has a slope of 3 and passes through the point (
–
3,
–
2). What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions
Answer:
y + 2 = 3[x + 3]Step-by-step explanation:
We know that:
Slope = 3Line passes through (-3, -2)To find the equation of the line, we will need to use point slope form.
Point slope form formula: y - y₁ = m(x - x₁)
Solution:
y - y₁ = m(x - x₁)⇒ y - (-2) = 3[x - (-3)]⇒ y + 2 = 3[x + 3] (In point slope form)Answer:
[tex]\sf y - 2 = 3(x -3)[/tex]
explanation:
[tex]\sf point \ slope \ form : \bold{y-y_{1}=m\left(x-x_{1}\right)}[/tex]
Here given :
slope, m : 3
coordinates : ( 3, 2 )
using the following given information:
[tex]\sf y - 2 = 3(x -3)[/tex]=
Solve the system of equations – 2x – 4y = -30 and -x + y = 6 by
combining the equations.
Answer:
X=1
Y=7
Step-by-step explanation:
Add both equations
(-2x) -4y +(-x) +y=-24
-3x-3y=-24. Take - 3 common factor
-3(x+y)=-24. Devide both sides by - 3
X+y=8
Adding the second equation with x+y=8
-x+y +x+y=14
2y=14
Y=7
In equation (x+y=8) substitute y with 7
X+7=8
X=1
An acute isosceles triangle has an angle that measures 80 degrees which is located across from the longest
measures 64 units. A student states that she can determine the measures of the other two angles in the triangle. What is the measure of
one of the angles? Give the measure of one angle (since they are the same degree).
Answer: 50 degrees
Step-by-step explanation:
Please I need your help on all the answers!
What Is
the Title?
TO FIND THE TITLE OF THIS
PICTURE:
Do each exercise below and find your
answer in the code. Each time the
answer appears, write the letter of the
exercise above it.
Answer: That’s all youre going to search
Step-by-step explanation:
The answers related to perimeter is shown below.
What is Perimeter?The complete length of a shape's boundary is referred to as its perimeter. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
Given:
O) Perimeter of Triangle = 16.6
G) Perimeter of Square = 24
E) Perimeter of Parallelogram= 230
A) Perimeter of Decagon = 6.3
B) Perimeter of Rectangle = 16.6
I) Perimeter of Equilateral Triangle = 3 x 5.25 = 15.75
H) Perimeter of Hexagon = 16.5
U) Perimeter of Rhombus = 100
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billy scores 129 points in 6 games. how many points does he score per games
Answer: 21.5
Step-by-step explanation:
Answer:
x = 21 ½
or
x = 21.5
Step-by-step explanation:
x = number of games.
6x = 6 games.
Since billy scores 129 points in these 6 games, that would mean we can set up this equation:
6x = 129.
Now divide both sides by 6 to get x alone.
x = 21 ½
or
x = 21.5
Twenty percent of all seventh graders have watched a horse race. In a sample of 15 seventh graders, 4 have watched a horse race. Does the sample closely estimate the percentage of seventh grades who have watcher a horse race?
Answer: 3%
Step-by-step explanation: 20% of 15 is 3 so yeah:)
5. STUDENTS The table shows the number of students
at a middle school over a 10-year period.
a. Make a scatter plot of the data and draw a line of fit.
b. Write an equation of the line of fit.
c. Interpret the slope and the y-intercept of the line of fit.
d. Predict the number of students in year 11
The line of best fit of the student model shows the relationship between variables on a scatter plot
How to determine the equation?The question is incomplete; So, I will make use of a dataset with the following calculation summary from a graphing calculator
Sum of X = 112Sum of Y = 390.45Mean X = 14Mean Y = 48.8063Sum of squares (SSX) = 672Sum of products (SP) = -62.4Slope (a) = -0.1Y-intercept (b) = 50So, the equation of the line of fit is:
[tex]y = -0.1x + 50[/tex]
The slope and the y-interceptIn (a), we have:
Slope (a) = -0.1Y-intercept (b) = 50So:
The slope means that the number of students reduces each year by a factor of 0.1, while the y-intercept means that the initial number of students is 50
The number of students in year 11This means that x = 11.
So, we have:
[tex]y = -0.1*11 + 50[/tex]
[tex]y = 49[/tex]
Hence, the number of students in year 11 is 49
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