The measure of angle 1 is equal to angle 3
From the diagram, if BA is perpendicular to BD, then;
m<1 + m<2 = 90 degreesSimilarly, if BC is perpendicular to BE, then;
m<2 + m<3 = 90 degreesEquating both expressions will give:
m<1 + m<2 = m<2 + m<3Subtract m<2 from both sides
m<1 + m<2 - m<2= m<2 + m<3 - m<2
m<1 = m<3
Hence the measure of angle 1 is equal to angle 3
learn more on perpendicular lines here: https://brainly.com/question/1202004
Give the function f(x) = -2x -5, determine the value of f(-3)
Answer: 1
Step-by-step explanation: You are given the function f(x) = -2x-5. The value is (-3) which is the input of the function. The output, y is what gives 1.
Plug in -3 into the given of function of f(-3) = -2(-3) - 5 = 1.
Negative x negative is positive which -2(-3) = 6.
Take 6-5 = 1.
The above function can also be written as y = -2x-5.
The only difference is this is written in y= mx+b for and the above problem is written in function notation.
Hope this explanation helps.
Which rectangle is similar to a rectangle with length of 12 yards and 23 yards?
a rectangle with length 14 yards and 13 yards
a rectangle with length 14 yards and 25 yards
a rectangle with length 2 yards and 3 yards
a rectangle with length 212 yards and 223 yards
Answer:
a rectangle with 2 yards and 3 yards
Step-by-step explanation:
12 yards and 23 yards
x and 2x - 1
------------------------------------
2 and 3 = x and 2x - 1
2 and 2(2) - 1 = 2 and 3
I might be wrong.
Use the relationship between the angles in the figure to answer the question Which equation can be used to find the value of x? Of x x+49-28 = 180
- 49 - 28 = 180
x + 49 + 28 = 180
x + 28 = 180
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angle adjacent to x on the left is vertically opposite 49° and is congruent.
The 3 angles then lie on a straight line and sum to 180° , that is
x + 49 + 28 = 180
expand and simplify \left(4+\sqrt{2}\right)\left(6-\sqrt{2}\right) give your answer in the form of b +c \sqrt{2}
Answer:
you get 15\3 divide then you answer would be 5
Step-by-step explanation:
if f (x)=x^2-x-1, then f(-5)=
[tex]\text{Given that,}\\\\f(x) = x^2-x -1\\\\f(-5) = (-5)^2 -(-5) -1 = 25 +5 -1 = 29[/tex]
What is the y-intercept of the equation y = 3x - 1
Answer:
you have to go over one on the y axes then 3 up that would be your answer.
your y-intercept would be -1
Juhi had $350 more than Trent. After Juhi spent 50% of her money
and Trent spent 70% of his money, Juhi had $255 more than Trent
How much did Trent have at first?
Which of these is the correct root of the word judicial?
O A. jud = mankind
B. jud = book
C. jud = prophecy
O D. jud = law
SUBN
help me please .
Ester purchased a used car, a Ford Focus, for $8400. The car is expected to decrease in value by 20% per year over the next couple of years.
At this rate, what can Ester expect the approximate value of the car to be after 6 years?
Question 6 options:
$1,409
$2,202
$4,200
$1,762
Answer:
$2,202
Step-by-step explanation:
If the car decreases in value 20% per year, that means that the car is only worth 80% of its value for the next year.
80% can be written as .80.
Multiply the value of the car by .80 6 times.
8400 multiplied by .80 = 6720
6720 multiplied by .80 = 5376
repeat this sequence 4 more times to come to an answer of 2,202
I NEED ANSWER ASAPPPP
boy-7/12
girl-5/12...................
For each question, find the slope and the y-intercept
Answer:
y = mx+b
Slope (m) = -4/5
y-int = 14
Hope that helps
-3(-3x-7)=48 please show work
Answer:
x = 3Step-by-step explanation:
-3(-3x - 7) = 48=> 9x + 21 = 48=> 9x = 48 - 21=> 9x = 27=> x = 3Conclusion:
Therefore, the answer is 'x = 3'.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Answer:
−3(−3x−7)=48
Divide both sides by −3.
−3x−7= 48
Divide 48 by −3 to get −16.
−3x−7=−16
Add 7 to both sides.
−3x=−16+7
Add −16 and 7 to get −9.
−3x=−9
Divide both sides by −3.
x= −3 −9
Divide −9 by −3 to get 3.
x=3
Step-by-step explanation:
Find the value of x and the indicated angles.
Answer:
x = 33Indicated angles: 126°Step-by-step explanation:
We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.
=> 4x - 6 = 2x + 60=> 4x - 2x = 6 + 60=> 2x = 66=> x = 33Since we have found the required variable, we can now solve the indicated variables.
Given angles:
4(33) - 62(33) + 60Let's solve 4(33) - 6 first.
4(33) - 6132 - 6126Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.
2(33) + 6066 + 60126We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
i need help please thanks
Answer:
D) each input has only one output.
Step-by-step explanation:
Betty earned $159 by selling 75 Each bracelet was the same price about how much did each bracelet cost estimate the cost of each bracelet what compatible numbers did you use
Answer:
2$ compatible numbers are 200 and 100
Step-by-step explanation:
Two sides of a rhombus are represented by (3X-6)cm and (x+14)cm. Find the length of each side in the rhombus
Answer:
24 cm
Step-by-step explanation:
in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:
3x - 6 = x + 14
subtract x from both sides
2x - 6 = 14
add 6 to both sides
2x = 20
divide both sides by 2
x = 10.
to find the length of each side, plug this back into the original side length expressions:
3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm
the length is 24 cm.
90% of _______ is 18.
Roxanne's dining room is 4 meters wide and 5 meters long. Roxanne wants to install a new wood floor. It will cost $8.44 per square meter. How much will Roxanne's new floor cost?
$ ____
HELPP MEE PLEASEE!
Which of the following equations have no solutions? Choose all answers that apply:
Answer:
All
Step-by-step explanation:
find the highest common factor
Answer:
3x
Step-by-step explanation:
because both terms are common 12 and 6 is 3 and x² and x is x
Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
purchase some equipment to get started. After cleaning 3 pools, he was still down a total of $15.
Write a linear equation to represent the amount of money Logan has made, y, after cleaning x pools.
Answer:
Step-by-step explanation:
y = 50x - 165
What is the slope from the equation: 2x + 9
Answer:
If you want a angle the angle is positive and the answer is M=2
Step-by-step explanation:
The answer is M=2
eight years ago mario was 25% younger than he is now how old is mario now
Answer:
32.
Step-by-step explanation:
A farmer plants wheat in a rectangular plot of land having a length of 7260 feet and a width of
1200 feet. If the farmer makes a profit of $30 per acre, how much profit should he expect to
make from the wheat planted, in dollars?
Answer:
$6000
Step-by-step explanation:
There are 43560 square feet in an acre. The profit is expected to be ...
(7260 ft)(1200 ft) × ($30)/(43560 ft²) = $6000
_____
The area of the plot is 200 acres.
A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?
57 yard . ×/1 yard =171 ft.
Answer:
the answer should be b good luck
A customer buys 6 packages of nails and 7 packages of screws for $74.35. What is the price of a package of screws?
The price of the package of screws would be = $40
How to calculate the package of screws bought by the customers?The quantity of nails bought by the customer = 6 packages
The quantity of screw bought by the customer = 7 packages of screw.
The total amount of the whole package = $74.35
The total number of packages = 6+7 = 13
For screws = 7/13 × 74.35
= 520.45/13 = $40
Learn more about division here:
https://brainly.com/question/25289437
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Martin drank 2/3 liter of water Monday before going jogging.He drank 3/7 liter of water after his jog.How much water did Martin drank altogether?Write your answer as a mixed number.
What is 5 14/12 in simplest form
Answer:
the answer is probably 7/6
hope I am correct and if not I'm sorry
f (x) = 3 (x– 4)^2– 12
based on this value, select ALL that APPLY for the following function:
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros
• If b² - 4ac > 0 then 2 real and irrational zeros
• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• b² - 4ac < 0 then zeros are not real
Given
f(x) = 3(x - 4)² - 12 ← expand factor using FOIL
= 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3
= 3x² - 24x + 48 - 12
= 3x² - 24x + 36 ← in standard form
with a = 3, b = - 24 , c = 36 , then
b² - 4ac
= (- 24)² - (4 × 3 × 36
= 576 - 432
= 144 ← a perfect square
Then 2 zeros are real and rational and produce 2 x- intercepts