Answer:
True
Step-by-step explanation:
Two triangles are congruent if they satisfy any of the following:
Two sides and the included angle of one triangle equal to the corresponding parts of the other one.
Two angles and the included side of one triangle equal to the corresponding parts of the other one.
All three sides of one triangle equal to the corresponding parts of the other one.
They are right triangles, and hypotenuse and one leg of one triangle equal to the corresponding parts of the other one.
They are right triangles, and hypotenuse and one acute angle of one triangle equal to the corresponding parts of the other one.
Therefore, the answer is true.
Nice Question
Answer To It is TrueReason:- According To Isosceles Triangle Theorem:-
If two angles of a triangle are congruent, then sides opposite those angles are congruent.Hope This Helps You ❤️I haven’t done this since 7th grade sorry I just don’t remember
The area of triangle ABC ABC is 18 cm2. Side AC=4x AC = 4 x and side AB=x+3 AB = x + 3 . Given that angle A=30∘ , calculate the value of x
Answer:
x = 3
Step-by-step explanation:
Let the altitude from B to AC intersect at point D. Then BD is a height of the triangle with base AC
ΔABD is a 30-60-90 triangle since m∠A = 30
Therefore, AB = 2(BD) or BD = AB/2 = (x+3)/2
Area of the triangle = bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)
= x(x + 3) = 18
[tex]x^{2} + 3x = 18[/tex]
[tex]x^{2} + 3x - 18 = 0[/tex]
(x + 6)(x - 3) = 0
x = -6 or x = 3
x cannot equal -6, so x = 3
In this exercise we have to use the knowledge of triangle to calculate the value of X, in this way we find that:
[tex]X=3[/tex]
In this way, we can write the treated area of the triangle as:
[tex]bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)\\=x(x + 3) = 18\\x^2+3x=18\\x^2+3x-18=0\\(x+6)(x-3)=0\\x=-6 \ or \ x=3[/tex]
See more about triangle at brainly.com/question/25813512
After a month of successful fundraising,
Elena and her classmates voted on
whether to donate the money they had
raised to hunger relief or to environmental
causes. 50% of the 12 votes were in favor
Of hunger relief. How many votes were
for hunger relief?
Answer:
6
Step-by-step explanation:
50% of 12= 1/2 of 12= 6
Answer:
6 votes were for hunger relief.
Step-by-step explanation:
Total number of votes = 12
Percentage of votes for hunger relief = 50%
So, number of votes for hunger relief would be:-
50% of 12 votes
That equals--> [tex]\frac{50}{100}[/tex] x 12
= 0.5 x 12
= 6 votes
The quantities x and y are positive. If x is
decreased by 20 percent and y is increased by
20 percent, then the product of x and y is
Answer:
Positive
Step-by-step explanation:
Two negative numbers, no matter how small or large are always positive when multiplied. Same goes for two positive numbers. If it was positive beforehand that means both numbers were either negative or positive. A percentage of a negative number is still negative and a percentage of a positive number is still positive so the answer won't change.
Answer:
Decreased by 4%
-3•x^3. Help! pls and thankyou
Here is a pattern made from sticks:
a)
How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Answer: 2, 5
Step-by-step explanation:yes
The average rate of change over the interval [2,5] is ____.
The average rate of change over the interval [5,7] is ____.
The average rate of change over the interval [2,8] is ____.
Answer:
The average rate of change over the interval [2,5] is 3
The average rate of change over the interval [5,7] is -2
The average rate of change over the interval [2,8] is 0
Step-by-step explanation:
in photo
A bakery owner wants to keep his bakery open a few more hours every evening. He wants to conduct a survey to determine whether extending the bakery's hours would be what costumers want. Which survey method would likely produce the most representative sample?
Answer:
Ask every tenth customer over the period of a week.
Step-by-step explanation:
Required
Select which of the options is true
(a) Every 5th male customer
This method will not produce a correct representative sample because only the male customers are surveyed. The opinion of the female customers will not be represented in the sample
(b) Every customer after 5:00pm
This method will not produce a correct representative sample because only the customers who come to the bakery before 5:00pm will not be represented. The opinion of these customers will not be represented in the sample
(c) Every 10th customer over the week
This method will produce a correct representative sample because the opinions of the customers are taken, irrespective of the gender or the time the customer walks into the bakery.
helpppppppppppp plzzzzz!!!!
Answer: 132.7 square inches
Area of a circle formula: [tex]\pi r^{2}[/tex]
Because we know that a diameter is twice the size of the radius and the diameter is 13 inches, we can divide 13 by 2 to get 6.5
Plug in this value into the formula, to get [tex]\pi (6.5^{2})[/tex]. Simplify the equation to get [tex]\pi (42.25)[/tex]. Multiply to get 132.7.
Answer:
It's A
Step-by-step explanation:
To find area= pie*raduis*radius
To find raduis you'll divide diameter by two
so 13 divided by 2 is 6.5
6.5*6.5*3.14=132.7
Four times a number is greater than 48. What are the possible values for the
number?
Answer:
Any number greater than 12 but not including 12
Step-by-step explanation:
hope it helps u
FOLLOW MY ACCOUNT PLS PLS
Answer:
this is a very easy question all you have to know is your times table.
the working is shown below:
12
×4
--------
48
---------
OR
------
12×4= 48
Suppose HIJK is a parallelogram. Find the value of x and y.
Answer:
x = 90, y = 12
Step-by-step explanation:
The key to this problem is the fact that opposite sides of a parallelogram are congruent (their lengths are equal).
Set up and solve two equations, one for x and one for y.
x + 80 = 2x - 10
80 = x - 10
90 = x
--------------------------
3y - 4 = y + 20
2y - 4 = 20
2y = 24
y = 12
Which table of ordered pairs matches the following function?
2y + 8x = 2
Help!
Is the data skewed or symmetric?
Answer:
i believe it is skewed. sorry if its wrong
Step-by-step explanation:
You can buy 5 small pizzas for the same price as 3 small pizzas and 10 one dollar drinks.How much does each pizza cost?
Answer:
★ The answer is $5
Step-by-step explanation:
Hope you have a great day
Which value of x is a solution of x < -2?
A. -3
B. -2
C. - 1
D. O
Answer:
A
Step-by-step explanation:
-3 is less than -2, so A (-3) is the answer.
Only x = -3 is less than -2.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following inequality -
x < - 2
Given is -
x < - 2
Now, it can be seen that -
- 3 < - 2
Therefore, only x = -3 is less than -2.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
A shoe store marks up the recommended price of a pair of shoes by 12.5% when they are first released. A month later, the store decides to put these shoes on sale. They want the new sale price to be equivalent to the original recommended price. By what percent should they decrease the marked–up price to make it equivalent to the original recommended price? Round your answer to the nearest tenth.
Answer:
I know the answer come follow me to see
The Cohens found 8 pairs of shorts with the following prices:
$10, $11, $11, $16, $16, $17, $18, $38
Which statements about the prices are true? Select all that apply.
A. The Median is $16
B. The range of the prices is $28.
C. The interquartile range is between $6 and $7
D. If the price that is the farthest from the mean is removed, The median will change.
E.If the price that is farthest from the mean is removed, the mean will become larger.
PLEASE EXPLAIN THIS ALSO, DO NOT PUT ANY LINKS EITHER, LINKS WILL BE REPORTED.
Answer:
A. B. and C.
(and hi again)
A ship takes 18 days to reach its designated part. It starts with food for its crew
of 450 men at the rate of 720gm per day per head. After 11 days of its journey they
rescued 180 passangers from a sinking ship. While rescuing the captain noticed a technical
problem in the ship's engine, and estimated the ship would reach the destination after 9
days. How much food should they now consume per day per head so that it lasts for the
rest of the journey.
plzz plzzz do it
Answer:
nsovurhnvurnvhfbsybvhnfshugb
Step-by-step explanation:
Please help I will mark brainliest thanks
Answer:
5+4+6=51 yes
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
MNOP is trapezium. The distance between MN and PQ is 21cm and MN= 28cm, while PQ= 25cm. Find the area.
Answer:
556.5 cm²
Step-by-step explanation:
Area of trapezium :
Area = 1/2 (a + b)h
a = base length 1
b = base length 2
h = height
From the information given :
Distance between MN and PQ = Height, h = 21 cm
Base MN, a = 28 cm
Base PQ, b = 25 cm
Hence,
Area = 1/2 (28 + 25) * 21
Area = 1/2 (53) * 21
Area = 556.5 cm²
An exponential function is given by the equation y=3x. Using the points xx and x+1x+1, show that the y-values increase by a factor of 3 between any two points separated by x2−x1=1.(4 points)
Answer:
Here we have the function:
y = f(x) = 3^x
Using the values:
x and (x + 1)
We need to find that the y-value increases by a factor of 3.
So we need to prove that:
f(x + 1) = 3*f(x).
Or we can see the quotient:
f(x + 1)/f(x) = 3
Here we can find the values:
f(x + 1) = y = 3^(x + 1)
f(x) = y' = 3^x
If we take the quotient, we get:
[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x}[/tex]
Here we can use the properties:
[tex]a^n*a^m = a^{n + m}[/tex]
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
Using these in the quotient equation we get:
[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3[/tex]
Then:
[tex]\frac{f(x + 1)}{f(x)} = 3[/tex]
[tex]f(x + 1) = 3*f(x)[/tex]
So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.
15 cm
15 cm
10 cm
10 cm
1
10 cm
1
8.66cm
1
The surface area of the three-dimensional figure is
square centimeters.
Picture is quite a bit more helpful
Answer:
Total surface area = 536.6 cm²
Step-by-step explanation:
Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)
Area of rectangle (1) = Length × Width
= 10 × 15
= 150 cm²
Area of rectangle (2) = 10 × 15
= 150 cm²
Area of rectangle (3) = 10 × 15
= 150 cm²
Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Total surface area = 150 + 150 + 150 + 43.3 + 43.3
= 536.6 cm²
A jar contains 9 marbles marked with the numbers 1 through 9. You pick a marble at random. What is the probability of not picking the marble marked with the number 2? Enter your answer as a simplified fraction. The probability of not picking the marble marked with the number 2 is
Answer:
1/9 or unlikely
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
What is the length of PR?
7/2
14
/2
7
Step-by-step explanation:
let AB when products meet the ground at c.
Someone please help!!!! I’ll give brainliest!!!
can you make the picture more clear?
Write an algebraic expression for the phrase below.
12 less than twice a number n
A- 12 - n - n B- 6 - 2n C 2n - 12 D- 12n-2
Need help!! please/Thank you
Answer:
[tex]50~in[/tex]
Step-by-step explanation:
[tex]perimter=AB+AM+BM[/tex]
[tex]AM=2EM=2(9in)=18in[/tex]
[tex]BM=25E=2(7in)=14in[/tex]
∠m= [tex]180-[/tex] (∠A+∠B)= 180-(70+40)
∠m= 70⇒ AB= AM⇒AB=18
[tex]perimeter=18+14+18=[/tex]
[tex]50~in[/tex]
--------------------------
hope it helps...
have a great day!!
Answer:
your answer will be 50 in
Step-by-step explanation:
Picture is provided, please help!
Answer:
Option C: b is parallel which is; y = ½x - 1
Step-by-step explanation:
We know that if the slope of a line is m, then the slope of the line that is perpendicular to it would have be; -1/m.
In this question, m = ½
Thus, the slope of the line that is perpendicular to it is; -1/(½) = -2
However, to find the slope of the line parallel to it would mean that the value of m which is the original slope will remain the same. Original slope = ½, thus the only option with slope as ½ is option C where b is parallel with the equation; y = ½x - 1
PLEASE HELP THANKS <3
Answer:
DL
Step-by-step explanation:
You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work.
Answer:
i wrote "13 8/9 because 16 2/3 x 16 2/3= 50/3 x 50/3 = 250/9 then 250/9 ÷ 2 = 125/9 = 13 8/9"
Step-by-step explanation: if u add in some words or something so you teacher isnt sus hope you pass!!