Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 42°. What is m∠D?
Answer:
Step-by-step explanation: Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 57°. What is m∠D? can someone help plsss
If Triangle ABC is congruent to triangle DEF then measure of angle D is 48 degrees.
Given, Triangle ABC is congruent to triangle DEF.
Angle sum property of triangle: Sum of all the interior angles of the triangle is 180 degrees.
Congruent triangles: When two triangles are congruent they are similar in shape and coincide when superimposed.
Now in triangle ABC,
∠B = 90°
∠C = 42°
Apply angle sum property,
∠A + ∠B + ∠C = 180 degrees
∠A + 90° + 42° = 180°
∠A = 48°
When Triangle ABC is congruent to triangle DEF,
∠A = ∠D
∠B = ∠E
∠C = ∠F
Thus measure of angle D is equal to measure of angle A.
∴∠A = ∠D = 48°
Know more about congruent triangles, here:
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is it
A) LC
B) ML
C) CM
D) CL
show work please I need help with both questions 3 and 5 thanks
Answer:
B) {8.71}
Step-by-step explanation:
3. l.c.m=28
28×3/7=28×b-7/4
4×3=7(b-7)
12=7b-49
12+49=7b
61=7b
61/7=7b/7
8.71=b
b=8.71.
October 2021 to Present
1 hours per week [ ?] weeks per year
maths giving 10 point asap 1 question only
1) y = 6
2) x = 3
3) y = - 2/3
4) x = - 6
Step-by-step explanation:So all we have to do is substitute the known 'variable' and solve for the unknown variable.
1) 2(-3) + 3y = 12
3y = 12 + 6
y = 6
2) 4y = (1/3)x - 5
4(-1) = (1/3)x - 5
(1/3)x = 5 - 4
x = 3
3) (x/3) - 2 = y
(4/3) - (6/3) = y
y = (-2/3)
4) 2(x+1) = 5y
2(x+1) = 5(-2)
2x + 2 = - 10
2x = -12
x = -6
Find m∠ABC . Assume the two lines which appear to be parallel are parallel.
Answer:
m ∠ABC = 35°
Step-by-step explanation:
lines are parallel and you have a pair of corresponding angles that are equal.
x = 3x - 70
-2x = -70
x = -70/-2
x = 35°
3 jars of paprika and 4 packets of sage have a total weight of 290 grams. 7 jars of paprika have a total weight of 210 grams . Work out the total weight of 2 jars of paprika and 2 packets of sage
What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?
The value of x can be
.
The value of y can be
Answer:
What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function? The value of x can be:
A.) Any real number
B.) Any real number except 5
C.) Any real number except 5 and -2
The value of y can be:
A.) Any real number
B.) Any real number except -2
C.) Any real number except 5 and -2
Answer:
1: b- any real number except 5
2: a- any real number
Step-by-step explanation:
helppppppppppppppppppppppmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeemeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer
a) 3 to 8 b) 1 to 9 c) 8 to 6 (4 to 3 if simplified) d) 2/5
Step-by-step explanation:
These are all similar questions. You need to find the Greatest common divisor or factor that are composite integers multiplying to said fraction; in most simpler terms. Take a the GCF is 7, 21 is a multiple of 7 3x exponentiating it then 56 8x. If you need further links I have apps and links that can explain it.
An absolute value function can be written as a piecewise function always, sometimes, or never? Your answer should demonstrate an understanding of both types of functions. Explain your answer using complete sentences.
Hello,
Let us choose an element x of the Real Numbers. So x can either be positive or negative. So we have two case to study :
Case 1 : x is positive.
If x is positive, that is, x = 0, 1, 2, 3, ....
then the absolute value gives us the same number : |0| = 0
|1| = 1
|2|= 2
etc.
so the absolute value of x positive equals x : |x| = x
Case 2 : x is negative.
If x is negative, that is, x = - 1, - 2, -3, .....
then the absolue value gives us the opposite value : |-1| = - (-1) = 1
|-2| = -(-2) = 2
|-3| = -(-3) = 3
(Remember the product of two negative sign is a positive signe : -1 * -1 = +1)
And so we can join both cases as a piecewise function, writing :
|x| = [tex]\left \{ {{x=x if x\geq 0 } \atop {x= - x if x<0 }} \right.[/tex]
so x = x if x ≥ 0 and x = - x if x < 0
Finally the answer is : it depend on the function itself. If the function takes both positive and negative value, then the absolute value of the function will be written as a piecewise function. If the function takes only positive or negative value, then it won't be written as a piecewise function.
Hiiioo!! Could someone please help me out!<3 thank you!
-Boopy:)
Answer:
y = -2x
Step-by-step explanation:
When it is x is -5, y is double of x multiplied into -1.
Hence, it is y = -2x
We can take a couple examples,
i) When x = -5,
y = -2(-5)
= 10
ii) When x = -10,
y = -2(-10)
= 20
and so on.
Feel free to mark this as brainliest! :D
FIRST PERSON TO ANSWER GET BRAINLYEST Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving?
StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction
Answer:
200/50=h
h=number of hours
Step-by-step explanation:
Maddie drove 200 miles at a speed of 50 miles per hour.
As we know
speed = miles/hours
and to calculate we use the formula
Hour = miles/speed
So the equation that helps to find the number of hours she was driving =
h = 200/50
Equation will be h = 200/50
Answer: StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
Step-by-step explanation:
For constant speed, miles and hours are proportional. One possible equation is ...
_____
I personally like to put the unknown in the numerator, so the equation can be solved in one step. The equation above requires two steps: one to cross-multiply, and one to divide by 50.
I might write the equation as ...
(? hours)/(200 mi) = (1 hour)/(50 mi) . . . . multiply by 200 mi to solve
Another way to write the equation is matching the ratios of times to corresponding miles:
(? hours)/(1 hour) = (200 mi)/(50 mi)
This only requires simplification to solve it: ? = 4.
So it would be A.
Step-by-step explanation:
49. The line containing (1, -3) and (3, y) is parallel to the line containing (5, -6) and (9, y).
How do I find y?
Answer:
y = 0
Step-by-step explanation:
Parallel lines have equal slopes
Calculate the slopes of both lines and equate them
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 3 ) and (x₂, y₂ ) = (3, y )
m = [tex]\frac{y-(-3)}{3-1}[/tex] = [tex]\frac{y+3}{2}[/tex]
Repeat with (x₁, y₁ ) = (5, - 6 ) and (x₂, y₂ ) = (9, y )
m = [tex]\frac{y-(-6)}{9-5}[/tex] = [tex]\frac{y+6}{4}[/tex]
Equating the 2 expressions
[tex]\frac{y+3}{2}[/tex] = [tex]\frac{y+6}{4}[/tex] ( cross- multiply )
4(y + 3) = 2(y + 6) ← distribute parenthesis on both sides
4y + 12 = 2y + 12 ( subtract 2y from both sides )
2y + 12 = 12 ( subtract 12 from both sides )
2y = 0 , then
y = 0
Juwan is throwing a birthday party for his son. He originally ordered 3 pizzas, but he realizes that his son invited more people than he thought, so he decides to order at least 1 more pizza for every 4 people that come to the party. The total number of pizzas, y, can be expressed in terms of the number of people that show up to the party, x. Which inequality represents this situation?
1.
[tex]y \geqslant - \frac{1}{4} x + 3[/tex]
2.
[tex]y \geqslant \frac{1}{4} x + 3[/tex]
3.
[tex]y \leqslant 4x - 3[/tex]
4.
[tex]y \leqslant 4x + 3[/tex]
Answer:
b.
Step-by-step explanation:
In Exercises 13-20, find the value of x so that the function has the
given value.
13. f(x) = 6x; f(x) = -24
14. g(x) = -10x; g(x) = 15
15. f(x) = 3x – 5; f(x) = 4
16. h(x) = 14 – 8x; h(x) = -2
Step-by-step explanation:
13. f(x) = 6x; f(x) = -24
6x = -24
x = -4
14. g(x) = -10x; g(x) = 15
-10x = 15
x = -1.5
15. f(x) = 3x – 5; f(x) = 4
3x-5 =4
3x =9
x = 3
16. h(x) = 14 – 8x; h(x) = -2
14-8x=-2
-8x = -16
x = 2
If there are 45 students in a classroom, of which 52% are women under 18 years of age. Please indicate:
a. How many male students are there in the class?
b. Is it possible to say that most of the students are minors?
Answer:
A. 22
b. Yes. Because there are 23 woman and they are all under 18 and there are 22 males. In which we don't know if they are underage, but it doesn't really matter because there is one more girl in the room than boys. And all woman are underage so there for there are more underage students in the room.
Step-by-step explanation:
Hope this helps :)
Pls make brainliest :p
And have an amazing day <3
Answer:
there would be 21.6 males. That doesn't work, so you'd have 21 or 22(probably 22)
yes, most of the students are minors. 52% percent at least are under 18 years. 52% is more than half, so that would make it so most are minors.
Step-by-step explanation:
In a class of 52 students, 16 are science students. If I/3 of the boys and 1/4 of the girls are science students, how many boys are in the class?
Answer:
36
Step-by-step explanation:
x = # of boys, y = # of girls
x/3+y/4=16; mult. ea side by 12: 4x+3y=192 (1)
x+y=52; mult. ea side by 3: 3x+3y=156 (2)
(1)-(2)=x=36
I WILL MARK BRAINEST!! number 4 please. i know the answer to the question it’s just that i don’t know how they got that answer please help me i’m literally desperate at this point thank you so much
Answer:
2a+2b+4
Step-by-step explanation:
(2a+2b+4)+(3a+8)+(5a+b)=10a+3b+12
Answer:
The perimeter of the triangle is [tex]10a + 3b + 12[/tex], while the two sides is [tex]3a + 8[/tex] and [tex]5a + b[/tex]. To find the missing side, subtract the two known sides from the known perimeter.
[tex](10a + 3b + 12) - (3a + 8) - (5a+b) = 2a+2b+4[/tex]
If we simplify this expression by taking out a factor of [tex]2[/tex], the final answer is: [tex]2a + 2b + 4 = 2(a + b + 2)[/tex].
IF THIS ANSWER HELPED YOU PLZ MARK AS BRAINLIEST :)
YOU CAN ASK ME FOR HELP IN THE COMMENTS.
Step-by-step explanation:
See top.
A box weighs 90 grams write down in terms of b the weight of b boxes
Tan x = square root of 3
Answer:
the answer to that would be 9
Is the relation below a function? If it is a function, state its domain. (0, 3) , (2, -3) , (1, 8) ,(2, 3)
A. The relation is not a function.
B. The relation is a function. The domain is {0 , 1, 2}
C. The relation is a function. The domain is {-3 , 3, 8}
D. The relation is a function. The domain is {-3, 0, 1, 2, 3, 8}
The relation (0, 3) , (2, -3) , (1, 8) ,(2, 3) is a function. The domain is {0 , 1, 2}; Choice B
Definition:
A relation can only be termed a function if it relates each element in its domain to only one element in the range.In essence, When the graph of a function is plotted, a vertical line will intersect it at only one pointThe domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.Read more:
https://brainly.com/question/910323
find an ordered pair that is a solution to the equation 6x-y=5
1. temperature in region 12 rises up to 36
Mark owes his sister $15. He earned $24 for mowing the grass. He gave 1/6 of his earnings to a local charity and then paid his sister. How much money will Mark have after he repays his sister? *
Answer:
$5
Step-by-step explanation:
(5/6)*24=20
20-15=5
What is the value of a/b?
(use the variables w weight and L-length and show me a possible equation:
Answer: (2.1/3) [if I read the numbers correctly]
Step-by-step explanation:
Similar triangles have identical angles, desite having different sides. But the sides remain in the same proportions. I can't quite make out the exact numbers since the photo is too small, but it the lower tiangle has sides of 2.1 and 3, the second triangle will have the same two sides in the same proportion: 2.1/3.
Mia invests £3200.when her investment matures she receives £3328. What was the actual increase?
There are two integers that combine to -19 and their product is 70. Find the two integers, then the SMALLER integer is your answer for this question?
Answer:
-14
Step-by-step explanation:
a + b = -19
(a)(b) = 70
To solve this problem, isolate one variable in one of the two equations and then substitute it in.
So, a + b = -19
-> a = -19 - b
b(-19 - b) = 70
Distribute.
-19b - b^2 = 70
Move all to one side.
b^2 + 19b + 70 = 0
Factor. Find two numbers that multiply to 70, but add to 19.
(b + 5) (b + 14) = 0
Zero product rule.
b = -5, b = -14
Now, substitute the two answers for b back into the original equation for a.
a - 14 = -19
a = -5
a - 5 = -19
a = -14
So, the answers are b = -5, b = -14, a = -5, a = -14. Since you said that the smallest integer is the answer, the answer is -14.
At target, they have 4 DVDs for $36. What is the constant of proportionality that relates the cost of DVDs, y, to the number of DVDs bought, x?
Answer:
Step-by-step explanation:
Cost of 4 DVDs = $36
Cost of 1 DVD = 36÷ 4 = $9
Cost of x DVD = 9 *x = 9x
y = 9x
Solve for x.
x + 15
9
X =
Ik this is not math but please help me :P
Answer:
Part of an ecosystem
Step-by-step explanation: