Answer:
The additional information necessary is option;
D. [tex]\overline {MN}[/tex] ⊥ [tex]\overline {LP}[/tex]
Step-by-step explanation:
From the given figure, we have;
Given that ML ≅ MP,
The Hypotenuse Leg HL theorem of congruency is used to prove that a given number of right triangles based on the lengths of their hypotenuse and one of the legs. It states that two or more right triangles are congruent if they have equal lengths of both their corresponding hypotenuse side and one leg
To prove that ΔLMN and ΔPMN are congruent by HL, we will also be required to prove that ΔLMN and ΔPMN are right triangles
For ΔLMN and ΔPMN to be right triangles, the angles, ∠LNM and ∠PNM should be right angles = 90°
With ∠LNM = ∠PNM = 90°, then, line [tex]\overline {MN}[/tex] is perpendicular to line [tex]\overline {LP}[/tex] or [tex]\overline {MN}[/tex] ⊥ [tex]\overline {LP}[/tex]
Therefore, the additional information necessary to prove that ΔLMN ≅ ΔPMN by HL is [tex]\overline {MN}[/tex] ⊥ [tex]\overline {LP}[/tex].
Given that the discriminant of a quadratic equation is 0, determine the number of real solutions.
The Question is in the png
Answer:
$30.69
Step-by-step explanation:
Amy spent $90 at the store. She spent 1/3 of her money on food, 1/6 of her money on school supplies, and 1/9 of her money on soda. How much did she spend on school supplies?
Given:
Amy spent $90 at the store.
She spent [tex]\dfrac{1}{3}[/tex] of her money on food, [tex]\dfrac{1}{6}[/tex] of her money on school supplies, and [tex]\dfrac{1}{9}[/tex] of her money on soda.
To find:
How much did she spend on school supplies?
Solution:
According to the given information, Amy spend [tex]\dfrac{1}{6}[/tex] of her money on school supplies.
Amy spent $90 at the store. So,
Money spend on school supplies = [tex]\dfrac{1}{6}\times 90[/tex]
= [tex]15[/tex]
Therefore, Amy spend $15 on school supplies.
A chocolate box made of cardboard is in the shape of a triangular prism. The prism's bases are isosceles triangles. The chocolate box has a decorative paper wrapper covering only its rectangular sides. A net of the chocolate box is shown below. How much decorative paper and cardboard are needed for the chocolate box, to the nearest hundredth of a square inch? Decorative paper: 30.5 in2; cardboard: 37.4 in2 Decorative paper: 30.5 in2; cardboard: 33.95 in2 Decorative paper: 34.5 in2; cardboard: 37.95 in2 Decorative paper: 34.5 in2; cardboard: 41.4 in2
Answer:
triangular prism - Chegg
The Chocolate Box Has A Decorative Paper Wrapper Covering Only Its Rectangular Sides. A Net Of The Chocolate Box Is Shown Below 1.5 In 1.9 In 1.9 In 2.3 In 5 In 1.5 In How Much Decorative Paper And Cardboard .
what is the answer to 3x + 2 = -19?
Answer:
X = -7
Step-by-step explanation:
x=-7
Hope this Helps q(≧▽≦q)
if two congruent angles form supplementary, they are acute angles true or false
Answer:
false
Step-by-step explanation:
No, two acute angles cannot form a supplementary angle. By definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. ... Example: 80° +60° = 140° which is not a supplementary angle. But, in the case, if we add more than two acute angles, we can get supplementary angles.
Area of a kite assistance
the insurance premium of a new bus is Ghc 93.30 plus 15% of the insured value. what is the insurance premium of a bus whose insured value is Ghc 250.00?
Step-by-step explanation:
[tex] \frac{15}{100} \times 250 = 37.50 + 93.30 = 130.80[/tex]
Rachel's car has a 12 gallon gas tank and
she uses about 0.5 gallons per day driving to
school. Write an equation describing the
number of gallons of gas, g, Rachel has in
her car and the number of days, d, she has
driven to school.
please help meeee
Answer:
g=dx
Or, if you'r wanting the solved equation..
12 = 0.5 x 24
Step-by-step explanation:
If she has 12 gallons in her tank and you look at what it's asking us to do, "..number of gallons of gas, g" pairs up with the 12 gallons while the 0.5 gallons used per day pairs with "...the number of days, d, she has driven to school."
Hope this helped!
Just to need solve this asap
which value represents (A u B)
pls don't answer randomly for points
Answer: 55
Step-by-step explanation:
Given
Values are presented in the Venn diagram
No of left-handed students [tex]n(A)=25[/tex]
No of vegetarians students [tex]n(B)=45[/tex]
Students who are left-handed and vegetarian is given by [tex]n(A\cap B)=15[/tex]
[tex]n(A\cup B)[/tex] is given by [tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
Put the values
[tex]n(A\cup B)=25+45-15\\n(A\cup B)=55[/tex]
Please help i will mark brainliest
Answer:
Step-by-step explanation:
2.5 is the answer
PLS
HELP
ILL
GIVE
MORE
IF
ITS
RIGHT
Answer:
the area of the porch is 5 times larger
Step-by-step explanation:
Area of a rectangle = length x width
Original area = 15 x 6 = 90 square feet
length of width after it was enlarged 5 times = 5 x 6 = 30
New Area = 30 x 15 = 450 square feet
change in area = 450 / 90 = 5
Please help. Will mark brainliest!!!!
A bus traveled 744 miles between two cities. The bus travels at a speed of 48 mph. Write a multiplication equation and then solve it to find out how many hours it took for the bus to arrive at its destination
Answer:
not sure
Step-by-step explanation:
PLEASE NO LINKS
What fraction is greater than 1/9, is less than 1/3, and has a denominator of 18?
find the common denominators.
Answer:
5/18Step-by-step explanation:
Let the numerator be x.
1/9 < x/ 18 < 1/32/18 < x / 18 < 6/182 < x < 6x = {3, 4, 5}Fractions that satisfy the condition:
3/18, 4/18, 5/18The first two can be simplified further:
3/18 = 1/6, 4/18 = 2/9The answer is 5/18
helpppp pleaseeee thank you
What is the correct value of x
Answer:
45°Step-by-step explanation:
The triangle is right isosceles.
It is right as the side is the diameter of the circle.
It is isosceles as two sides marked as equal.
Acute angles are same and equal to:
90°/2 = 45°Correct option is 45°
Answer:
<M=90°[inscribed angle on diameter is 90°]
<N=<L=[base angle of isosceles triangle]
now
<M+<l+<N=180°[sum of interior angle of traingle]
[2x-5]×2=180-90
4x-10=90
x=100/4=25
x=25
Please answer and thank you
Step-by-step explanation:
hope this will help you have a good day!
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
Answer:
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
Step-by-step explanation:
WORTH 30 POINTS ILL MARK BRAINLIEST
for the equation y=x^2+6x+4
a) use completing the square to change the following equation to graphing (vertex) form
include steps
Step-by-step explanation:
[tex]y = {x}^{2} + 6x + 4[/tex]
[tex]y - 4 = {x}^{2} + 6x[/tex]
[tex]y - 4 + 9 = {x}^{2} + 6x + 9[/tex]
[tex]y + 5 = (x + 3) {}^{2} [/tex]
[tex]y = (x + 3) {}^{2} - 5[/tex]
/fxa-pqxu-hzi. come here
The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answer:
The answer is 135
Step-by-step explanation:
We can use formula: 162...120% since the price was increased by 20% which means it is 120%
So: 162...120%
x.... 100%
120x = 16200 => x = 135
Help pls and no links
Answer:
4x plus 1 I think I'm not 100 percent sure though.
find the value of x!
Answer:
I think it is
24.6
Answer:
21.2Step-by-step explanation:
[tex]x\times(x+ 28) = 20\times (20+32)\\\\x^2+28x-1040=0\\\\\ x=\dfrac{-28\pm\sqrt{28^2-4\cdot1\cdot(-1040)}}{2\cdot1}= \dfrac{-28\pm\sqrt{4944}}{2}\\\\x\approx21.2\quad or\quad x\approx-49.2[/tex]
x has to be >0 so the answer is 21.2
hlpppppppppppppppppppppppppppppp
Answer:
-9.661
Step-by-step explanation:
For this problem you simply substitute the give values into the equation
a=6.05
b=3.611
-6.05+(-3.611)= -9.661
Algebraic Method #2: Solving by substitution 2x + 8y = 20 y = 2
If a varies directly with x squared, and a=12 when x=6 find the constant variation, k
Answer:
k = 1/3
Step-by-step explanation:
a = kx²
12 = k * 6²
k = 12/36
k = 1/3
Answer: k = 1/3
Please I need help with this math problem I would appreciate it a lot!
Answer:
4x^2 -3 + 1/x
Where ;
p(x) =( 4x^2 -3) and k = 1
Step-by-step explanation:
Here, we want to divide the given polynomial
To get this, we can use the method of long division
P(x) will be the quotient of the division, while k will be the remainder of the division
We can see the long division used in as seen in the attachment
So, we have the result as;
4x^2 -3 + 1/x
Where ;
p(x) = 4x^2 -3 and k = 1
What would the numbers of microns be for this question?
Answer:
x = 24
Step-by-step explanation:
The ratio is x2
11 x 2 = 22
13 x 2 = 26
Therefore,
12 x 2 = 24
x = 24
which elapent weight 2.85 tons round to the nearst hundreth
5-7:
Question Help
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost
$20.40. Unfortunately, he breaks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?