For the triangles to be congruent by HL, what must be the value of x?
2
3
4
7
We have been given two right triangles. We are asked to find the value of x, which will make both triangles similar by Hypotenuse-Leg congruence.
Hypotenuse-Leg theorem states if one leg and hypotenuse of a right triangle is congruent to the one leg and hypotenuse of other right triangle, then both triangles are congruent.
So we can set an equation as:
2x + 1= 9
Upon subtracting 1 from both sides we will get,
2x+1 -1 = 9-1
2x=8
Dividing both sides of our equation by 2 we will get,
x= 4
For the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.
What is the HL Congruence Theorem?If a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangles, the HL Congruence Theorem states that the triangles are congruent to each other.
Therefore, the two corresponding parts of the right triangles are given as:
2x + 19Thus:
2x + 1 = 9 (HL Congruence Theorem)
Solve for x2x = 9 - 1
2x = 8
x = 4
Therefore, for the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.
Learn more about the HL Congruence Theorem on:
https://brainly.com/question/4155972
pls help its my last day of school and a have only a few mins to submit
Answer:
slope = 1/2
y intercept = 2
slope intercept form = y = 1/2x + 2
Step-by-step explanation:
Answer:
Slope: 2
y-intercept: 2
Slope intercept form: y=2x+2
Step-by-step explanation:
Hope this helps!
Identify the percent of increase from 24 to 144. (round to the nearest tenth of a percent)
What is the diameter of a circle with a radius of 497^2?
Answer:
494018
Step-by-step explanation:
you are trying to find the diameter of the circle, it is usually half the length of a radius, but since 497 squared is how long a radius is (unless the question asked that the area if 497 inches squared), i can't really give you a clear answer, but the diameter is 247009 times 2 which is 494018
What expression represents 7 less than the product of 11 and 4
Answer:
(11*4)-7=37
Step-by-step explanation:
Answer:
(11 × 4) - 7
37
Step-by-step explanation:
7 less than 11 × 4
(11 × 4) - 7
44 - 7
37
A new pair of Air Jordan's that sells for $150 decreases at a rate of 14% each year. Find the value of the shoes after 5 years (round to the nearest cent).
Answer:
$45
Step-by-step explanation:
If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%. So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.
Pick ALL the options below that make g > 21 true
g = 21 1.
g = 17 2.
g = 12 3.
g = 34 4.
g = 25 5.
Answer:
correct answers that make g > true
g = 21.1
g = 34.4
g = 25.5
In short words , the 1st , 4th and 5th option make , g > 21 true .
Please help quadratic equation!! 20 points
Answer:
x=4,−2
Step-by-step explanation:
Because Step 1. Move all terms to one side.
{x}^{2}-2x-8=0
x
2
−2x−8=0
2 Factor {x}^{2}-2x-8x
2
−2x−8.
1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?
-4−4 and 22
Step 2. Rewrite the expression using the above.
(x-4)(x+2)
(x−4)(x+2)
and going to;
(x-4)(x+2)=0
(x−4)(x+2)=0
And Step 3. Solve for xx.
1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?
When x-4=0x−4=0 or x+2=0x+2=0
2 Solve each of the 2 equations above.
x=4,-2
x=4,−2
x=4,-2
Our Answer is:
x=4,−2
I Hope It's Helps
Answer:
2 and -4
tso numbers when added gives -2 and 8 incase it's not clear enough.
find the value of n
3n-10
n=
10-3=N
N=7
Step-by-step explanation:
hope you like it
Answer the question. Will give Brainliest to whoever gets it right.
Answer:
27 feet
Step-by-step explanation:
they go 27 feet because 15+6+6=27
the table below does not represent a function why?
Answer:
Because X (10) repeats
Step-by-step explanation:
A function has no repeated X but here in your x variable 10 is there twice so therefore it is NOT a function
You can use the pencil test also in a graph, align your pencil vertically and see if there are multiple points that have the same X and if there isn't any repeated its a function.
Answer:
The function is a relation between two sets that associates to each element of the first set exactly one element of the second set.
We have x = 10 twice with different f(x) associated, 5 and 20.
If we plot those points they will be on same vertical line, thus the vertical line test is failed.
figure B is a scaled copy of figure A. What is the scale factor from figure A to B
Please help asap!! I will mark you as brainliest :)
Answer:
3, 0, -5, -6
Step-by-step explanation:
7)
when x= -8, f(x) = 8-5 or 3
when x= -5 f(x) = 5-5 or 0
when x= 0, f(x) = 0-5 or -5
when x=1, f(x) = -1-5 or -6
If f(x) = 2x-5, then 114) is
O 17
05
04
3
An equilateral triangle with side length 20 cm is shown in the diagram, work out the area of the triangle.Give your answer rounded to 1 DP.
Answer:
173.2 cm²
Step-by-step explanation:
Use the equilateral triangle area formula, A = [tex]\frac{\sqrt{3}}{4}[/tex]a²
Plug in the side length and solve:
A = [tex]\frac{\sqrt{3}}{4}[/tex]a²
A = [tex]\frac{\sqrt{3}}{4}[/tex](20)²
A = [tex]\frac{\sqrt{3}}{4}[/tex](400)
A = 173.2
So, the area of the triangle is approximately 173.2 cm²
Write an equation of the line that passes through (5,0) and is parallel to the line
y = -3x + 2
Answer:
y=-3x+15
is the equation that passes through the point (5,0) and is the parallel line to y=-3x+2
Step-by-step explanation:
find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line of y=-3x+2, which if done correctly you should end up with y=-3x+15.
hope this helps
Select the correct answer.
What is in simplest form?
A. 8√4
B. 17√2
C. 4√ 17
D. 2√17
Using distributive property What expression is equivalent to (p-q)(3)
[tex]\longrightarrow{\green{3p-3q}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](p - q)(3)[/tex]
Using distributive property which states that [tex]a(b - c) =( a \times b) - (a \times c)[/tex], we have
[tex] = (3 \times p) - (3 \times q)[/tex]
[tex] = 3p - 3q[/tex]
[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Answer:
3p - 3q
Step-by-step explanation:
( p - q ) ( 3 )
use distribute property which means multiply each terms in the parantheses by 3.
3 × p - 3 × q
3p - 3q
can someone please help me i need to calculate the are of a trapezium which is 6cm 15cm 9cm, please help
Answer:
Step-by-step explanation: The parallel sides of a trapezium are called the bases and the distance between them is the height. Therefore if 6cm and 15cm are the bases and 9cm is the height, then the area is A= ½(b1+b2)×h, where b1 is 6cm and b2 is 15cm and h is 9cm. Therefore the Area= ½(6+15)×9=94,5cm.
Answer:
shush its hard like my
Step-by-step explanation:
((PLEASE HELPP)
Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.
1.)-5x+y=10
-25x+5y=50
2.)3x-7y=9
-4x+5y=1
3.)y=6x-2
y=6x-4
Answer:
1 has 1 solution
2 has one solution
3 has no solutions The lines are parallel
Could someone please help me with this?
Answer:
Equal
Equal
Equal
Supplementary
Step-by-step explanation:
Just learn the angles tbh, you will need them in the future
Pleas help this is due today!!
help pls. cant figure it out
Answer:
m=3
Step-by-step explanation:
add the m on the right side, 4m+3=15
subract the 3 on the left side, 4m=12
divide by four to isolate m, m=3
Answer:
[tex]3m+3=15-m[/tex]
[tex]3m+3=-m+15[/tex]
[tex]3m+m=15-3[/tex]
[tex]4m=12[/tex]
[tex]Divide\ both\ sides \ by\ 4[/tex]
[tex]\frac{4m}{4} =\frac{12}{4}[/tex]
[tex]\boxed{\boxed{\underline{\textsf{\textbf{m=3}}}}}[/tex]
-------------------------hope it helps...have a great day!!what is the solution to x^2 + 6x +7
Answer:
D) [tex]\frac{-6\pm\sqrt{8} }{2}[/tex]
Step-by-step explanation:
[tex]x^2+6x+7=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]
[tex]x=\frac{-6\pm\sqrt{36-28} }{2}[/tex]
[tex]x=\frac{-6\pm\sqrt{8} }{2}[/tex] <-- correct option but not simplified fully
[tex]x=\frac{-6\pm2\sqrt{2}}{2}[/tex]
[tex]x=-3\pm\sqrt{2}[/tex]
Please help I’ll mark as brainliest !
Answer:
x = 0.6
Step-by-step explanation:
2(x+4)+8x = 14
2x+8+8x = 14
10x+8 = 14
10x = 6
(divide by 10)
x= 0.6
For every person who actually has the flu, there are 6 people who have flu-like symptoms resulting from a cold. If a doctor sees 40 patients, write and solve a proportion to determine how many of these you would expect to have a cold
Answer: The number of people can be expected to have cold = 34
Step-by-step explanation:
Given: The ratio of people who actually have the flu to the people who have flu-like symptoms is 1:6.
If a doctor sees 40 patients, then the number of people can be expected to have cold = [tex]40\times\dfrac{6}{1+6}[/tex]
[tex]=40\times\dfrac6{7}[/tex]
[tex]=\dfrac{240}{7}\\\\=34.29\approx34[/tex]
Hence, the number of people can be expected to have cold = 34
A bakery offers a sale price of $2.60 for 6 muffins. What is the price per dozen?
Answer:
$5.20
Step-by-step explanation:
A dozen is 12, so multiply by two.
2.60 * 2 = $5.20
Answer:
5.20 for 12
Step-by-step explanation:
2.60 for 6
2.60*2=12
5.20 for 12
Which point would not be a solution to the system of linear inequalities shown below? y\ge x+5\hspace{50px}y\ge\frac{2}{3} x+6 y≥x+5y≥ 3 2 x+6 (12, 7) (-12, 1) (-12, 9) (-12, 6)
Answer:
(12,7) is not a solution
Step-by-step explanation:
Given
[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]
Required
Point that is not a solution
We have:
[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]
Substitute [tex]\frac{2}{3}x + 6[/tex] for y in the first inequality
[tex]\frac{2}{3}x + 6 \ge x + 5[/tex]
Collect like terms
[tex]\frac{2}{3}x - x \ge 5-6[/tex]
[tex]-\frac{1}{3}x \ge -1[/tex]
Solve for x (the inequality will change because we are to divide by a negative number_
[tex]x \le -1/-\frac{1}{3}[/tex]
[tex]x \le 3[/tex]
Without solving further, we can conclude that the first option is not a solution.
Because (12,7) implies that [tex]x =12[/tex]
Compare [tex]x =12[/tex] to [tex]x \le 3[/tex], then [tex]x \le 3[/tex] is false
Please help its urgent quick fast Lighting McQueen!
Answer:
Option A
Step-by-step explanation:
x-7>2
x>9
Therefore, A is correct since 9 isn't included in the solution set.
Answer:
First option is correct
Step-by-step explanation:
x-7 > 2
x > 7+2
x > 9
Hope it is helpful....Evaluate the following expression at x =-7 and y = - 6
-4x + 8y - 2
Step-by-step explanation:
this is the solution of your question