ABC congruent DEF find the measure of the given angles or the lengths of the given sides
Answer:
BC = 8 and EF = 8
Step-by-step explanation:
Congruent triangles have equal angles, equal sides, equal perimeters, and equal areas.
Let us solve the question
∵ The two triangles ABC and DEF are congruent
∴ BC = EF
∵ BC = 3z + 2
∵ EF = z + 6
→ Equate their length
∴ 3z + 2 = z + 6
→ Subtract z from both sides
∵ 3z - z + 2 = z - z + 6
∴ 2z + 2 = 6
→ Subtract 2 from both sides
∵ 2z + 2 - 2 = 6 - 2
∴ 2z = 4
→ Divide both sides by 2
∴ z = 2
→ Substitute z by 2 in the length of sides BC and EF to find them
∵ BC = 3(2) + 2 = 6 + 2
∴ BC = 8
∵ EF = 2 + 6
∴ EF = 8
Can anyone help me I want to copy the answer down so I know how to solve it❤️
9514 1404 393
Answer:
t = 4°
Step-by-step explanation:
As in any triangle, the sum of angles is 180°.
17t + 16t + 12t = 180°
45t = 180° . . . . . collect terms
t = (180/45)° . . . . divide by the coefficient of t
t = 4°
HELPP! I need the answer quick .
Answer:
See below.
Step-by-step explanation:
The point needs to be 8 on the x-axis and -8 on the y-axis.
What type of equations could have extraneous solutions?
Answer:
id
Step-by-step explanation:
The square root equations could have extraneous solutions.
What is an extraneous solution?An extraneous solution is a “false” solution to an equation. An extraneous solution does not satisfy the original equation, even though we took seemingly valid steps while solving the equation.
When we solve an equation with containing a radical expression, we have to isolate the radical on one side from all other terms and then square both sides of the equation.
When we square a radical equation we sometimes get a solution to the squared equation that is not a solution to the original equation. Such an equation is called an extraneous solution.
Hence, the square root equations could have extraneous solutions.
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2
3) Last week, the price of gasoline was $3
per gallon. This week, the price fell to
$2.85 per gallon. By what percent did the
price of gasoline drop week over week?
Solve using an equation.
Answer:
decrease by 5%
Step-by-step explanation:
2.85 - 3 = -0.15
-0.15/3 = -0.05
-0.05 x 100 = -5%
The mean temperature for the first 4 days in January was 3°C.
The mean temperature for the first 5 days in January was 1°C.
What was the temperature on the 5th day
Answer:
it is 4 C
Step-by-step explanation:
because it is the first 4 days of January and it was 3C and on the 5 day it was 1C add it up and you will get 4C
Which graph has an x-intercept of -2 and a y-intercept of 4?
Answer:
The first graph
Step-by-step explanation:
the first graph crosses through -2 on the x-axis and 4 on the y-axis
The required graph that shows an x-intercept of -2 and a y-intercept of 4 is graph A. Option A is correct.
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
Here,
X intercept is the value of the line where y ordinate is zero, from observation it is found that graph A has x intercept of -2 and y-intercept of 4.
Thus, the required graph that shows an x-intercept of -2 and a y-intercept of 4 is graph A. Option A is correct.
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PLEASE HELP
What is the value of f (4) if f (x) = 3x - 10? A. -3 B. -2 C. 2 D. 7
Answer:
f(3)=5. Explanation: Simply substitute the value of 3 given. In other words, f(3) is the function of f(x) , however, in this case, x is 3. f(3)=3(3)−4. Distribute 3 through
5/9 of the students in a group are male.
5/6 of the female students in the group are right-handed.
Find the smallest possible number of students in the group.
(2 marks)
Answer:
18
Step-by-step explanation:
18 is the smallest number that is wholly divisible by 9 and 6.
The smallest possible number of students in the group is 18.
Given that,
5 by 9 of the students in a group are male. 5 by 6 of the female students in the group are right-handed.Based on the above information, we can say that 18 is the number that should be divisible by 9 and 6.
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2x^2+x-6=0 solution(s)?
Answer:
x=-2 and 3/2
Step-by-step explanation:
Write an equation of the line with a slope of −3 and y-intercept of 0.
Answer:
y = -3x
Step-by-step explanation:
Substitute the numbers into the point-slope form equation:
y - 0 = -3(x - 0)
y = -3x
a stockbroker charges customers $30 to open an account and $15 per month to manage the account. write an equation to represent the number of months, n, an account has been open if the total cost is $360
If you are looking for a braniliest, if you get this right I will give one.
The question is, what app always says “gg”or “:)”
Answer:
amoung us
Step-by-step explanation:
Answer:
among us
Step-by-step explanation:
Use function notation to represent each statement:
At 1 p.m., there were 257 visitors in the museum.
Answer:
f(1) = 257
Step-by-step explanation:
x-variable: 1 (time is the independent variable)
y-variable: 257 (number of visitors is the dependent variable)
When the time is at 1 (1pm), there are 257 visitors
Help pls!! What is the segment of AC?
Answer:
It's an angle bisector
Step-by-step explanation:
It is between 2 congruent angles therefore bisects those angles
Help! 15 points + brainliest!
Answer:
1 1/4
Step-by-step explanation:
The tallest flower is 2 1/2 the shortest is 1 1/4
Subtract those
2 1/2 = 2 2/4
2 2/4 - 1 1/4 = 1 1/4
your answer is 1 1/4
HELPP MEE PLEASEEEEEE
Answer:
wouldn't it be 5m....??
The value of a stock increases 14 2/3 points twice in one week. The other three days the value decreases by 10 points, 8 1/3 points, and 12 2/3
points. By how many points did the value of the stock change that week?
A .2/3 points
B .1/3 points
C.-1 1/3points
D. -1 2/3 points
Answer:
the answer is c.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i just did that qwesten on math xl
Solving two-step inequalities is much like solving two-step equations. Use
inverse operations to
solve each of the following inequalities.
5x + 8.5 > - 10.3
2x - 10 < 80
Answer:
1) x>-3.76 2) x<45
Step-by-step explanation:
1) 5x+8.5>-10.3
Isolate the variable
Combine like terms/ subtract 8.5 from both sides
5x>-18.8
Divide by sides by 5
x>-3.76Remember, if we were dividing or multiplying by a negative number, we would switch the inequality sign, but here we do not.
2) 2x-10<80
Isolate the variable
Combine like terms/ add 10 to both sides
2x<90
Divide both sides by 2
x<45Jose has six pieces of cardboard to make a triangle frame for a diorama. The lengths are 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, and 7 inches. Which combination will form a triangle?
The possible combination of sides of triangles is
(2 + 3) >4(3 + 4)> 5(5+ 6)>7What is Property of Triangle?In a triangle, the third side must be greater than or equal to the sum of the other two sides. The length of a triangle's third side is always longer than the sum of any two of its sides.
Given sides are 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, and 7 inches.
We know that the third side of a triangle is greater than sum of other two sides.
So, (2 + 3) >4
and, (3 + 4)> 5
and, (5+ 6)>7
Hence, the possible combination of sides of triangles is
(2 + 3) >4(3 + 4)> 5(5+ 6)>7Learn more about triangles here:
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Which type of quadrilateral is the figure below?
Select the best answer from the choices provided.
A.
trapezoid
B.
parallelogram
C.
rhombus
D.
concave quadrilateral
9514 1404 393
Answer:
A. trapezoid
Step-by-step explanation:
The missing angle U is 86°, the value that makes the total be 360°. Then the top two angles total 180°, as do the bottom two angles. This means sides SV and TU are parallel, but sides UV and ST are not.
The figure has one pair of parallel sides, so is a trapezoid.
__
A concave quadrilateral has a reflex angle. This figure does not.
please help!!!!!!!!!!!! !!!
Which linear function represents the line given by the point-slope equation y + 1 =-3(x – 5)?
Answer:
f(x)= -3x+14
Step-by-step explanation:
the question gives you
f(x)+1=-3(x-5)
the first thing you want to do is distribute the -3 to the (x-5)
f(x)+1=-3x+15
then you going to subtract the 1 and move it to the other side
f(x)=-3x+14
The half-life of iodine-131 is approximately 8 days. Find the amount of iodine-131 left from a 35 gram sample after 32 days.
Answer:
2.1875 grams
Step-by-step explanation:
32/8=4 times it will divide 1/2
35/2=17.5
17.5/2=8.75
8.75/2=4.375
4.375/2=2.1875
7 1/2 is equal to _____ in radical form?
Answer:
√ 7
.........................
7 1/2 in radical form is √15 / √2 x √15 / √2.
To convert the mixed number 7 1/2 to radical form, we need to rewrite it as an improper fraction and then simplify.
First, let's convert the mixed number to an improper fraction:
7 1/2 = (2 x 7 + 1)/2 = 15/2
Next, we can represent 15/2 in radical form by taking the square root of the numerator and the denominator separately:
√(15/2)² = √15 / √2 x √15 / √2
The square root of 15 cannot be simplified further, so we leave it as √15.
Therefore, 7 1/2 in radical form is √15 / √2 x √15 / √2.
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Your department manufacturers 2,150 thermostats in one work and 25 are defective and discarded how many theremostats did your department contribute to inventory for the work
Answer:
2125
Step-by-step explanation:
2150-25=2125
Acreage varies directly with the production in bushels of wheat produced.
In a 20-acre field, 300 bushels of wheat are produced. At this rate, how
many bushels will be produced in a 50-acre field?
Answer:
750 bushels
Step-by-step explanation: 20/300=50/b b=bushels
cross multiply then you get 20b=15000
next you divide 20 by 15000 and you get 750 bushels!
i had the same question just now and figured it out! hope this helped you!
The leadership class starts a campaign to change the school mascot. The school principal has agreed to change the mascot if two-thirds of the student body plus 1 additional student vote for the change. The required number of votes is 255. How many students attend the school? (Please also write the equation)
Answer:
254/2=127
127*3=381
381+1=382
Step-by-step explanation:
254/2 because 2/3 of the students is 254 and this is to simplify it
127*3 because 127 is 1/3 of the total number of students so 127*3 would be 3/3 of the students or all of them
381+1 because we had to take out 1 of the students because there was an aditional vote so we add him back in
The Answer Is: 382
Equation: (254/2)*3+1
Please help fast i need this done
which x-values make the ordered pair (x, -6) a solution of the system of inequalities represented by the graph below?
A) -4 < x < 0
B) -4< x < 0
C) -4 ≤ x < 0
D) -4 ≤ x ≤ 0
Answer:
C) -4 ≤ x < 0
Step-by-step explanation:
the x-values make the ordered pair (x,-6). the solution of inequalities represented by the graph gives the solution -4 ≤ x < 0