If △EFG ≅ △HJK, complete each part.
Answer:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH
Step-by-step explanation:
Since ∆EFG ≅ ∆HJK, therefore, the corresponding sides and angles of both ∆s are congruent.
Thus:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH (take note of the arrangement of the letters or naming of each vertex of both triangles. Each vertex of in one ∆ must correspond to the vertex of the other for the ∆s to be congruent)
△EFG ≅ △HJK,
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
Given that
△EFG ≅ △HJK,
Since △EFG ≅ △HJK is given hence we can conclude that corresponding sides and corresponding angles of both the triangles will be equal.
Two triangles are said to be congruent when they are of similar shape and size means all the angles of one triangle are equal to the corresponding angles of other triangle and all the sides of one triangle are equal to corresponding sides of other triangle.
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
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A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?
Answer:
4x+12
Step-by-step explanation:
A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?
(5+2x)+(7+2x)
The perimeter would be 4x+12
Hope I helped!
Please mark Brainliest!!!
Answer:
The answer is A. 4x+12
Step-by-step explanation:
Just took the test on edge 2020 :D
What is 11010²-1101²
Answer:
[tex]9909^2\\[/tex]
or
[tex]98188281[/tex]
can y’all help please :)
Solve the problem. Show your work
Answer:
D correct
Step-by-step explanation:
how do you do this? plz help me with math!
Answer:
it's x=50 hope this helps
Answer:
[tex]\frac{50}{5}[/tex] is the answer
Step-by-step explanation:
you would times 10 by 5 and you have your answer
The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.
340.1 ÷ 9.5 = 358
Answer:
35.8
Step-by-step explanation:
[tex]\frac{340.1}{9.5}[/tex] = 358
We know that our answer can never be greater than 358 since the dividend
is 340.1 and the divisor is 9.5;
Also,
Both values are to one decimal places and we can use this to solve the problem;
9 can divide 340 in about 37 place with a remainder of 7,
So, it is appropriate to make the solution 35.8
Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?
Answer:
bruh 4 days duh
Step-by-step explanation:
Can someone please solve this before I get my phone taken away?
Answer:
option 1 or should be
Step-by-step explanation:
4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah
A = p + prt solve for t
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Answer:
add 2 zeros at the end of all of them
Step-by-step explanation:
NO JOKING AROUND OR I WILL REPORT WHO EVER DOES
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
–90
–78
–66
–12
Answer:
Its 66 i just did a 50 question quiz and got it right
Step-by-step explanation:
What is the answer for both?
Answer:
What is the question from both?
Answer:
(4,2) for the first one
(2,-1) for the second one
to get the answers I got, equate Both
which number is bigger 1.59 or 1.955
Answer:
1.955 is bigger
Step-by-step explanation:
1.955>1.59
Answer:
1.955
Step-by-step explanation:
This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59
does the ordered pair (8,48) satisfy the direct equation y=6x? explain why or why not
Answer:
i think yes the order pair of (8,48) satisfy the direct equation y=6x
Step-by-step explanation:
5.
As shown in the diagram below, lines m and n are
cut by transversal p.
р
m
n
7
2
If mZ1 = 4x + 14 and mZ2 = 8x + 10, lines m
and n are parallel when x equals
A. 1
B. 6
C. 13
D. 17
The value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
As we can see in the figure, the lines m and n are cut by transversal p.
Then the sum of angles mZ1 and mZ2 is equal to 180 degree.
4x + 14 +8x + 10 = 180
12x + 24 = 180
12x = 156
x = 13
Thus, the value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.
Learn more about the linear equation here:
brainly.com/question/11897796
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Determine the slope of the line that passes through the points M(-3,5) and N(1,8). Represent the slope in decimal form.
Answer:
0.75
Step-by-step explanation:
y²-y¹/x²-x¹
8-5/1-(-3)
3/4
=0.75
. A person weighing 120 pounds has about 20 pints of blood in their body. Which equation below represents the relationship between pints of blood, b, to a person's weight, w?
Answer:
[tex]w = 6b[/tex]
Step-by-step explanation:
Given
[tex]b = blood[/tex]
[tex]w = weight[/tex]
[tex]b = 20; when\ w = 120[/tex]
Required
Determine the equation that binds both parameters
First, we need to determine the constant of proportionality using:
[tex]w = k * b[/tex]
Where k represents the constant.
Substitute 120 for w and 20 for b
[tex]120 = k * 20[/tex]
Divide both sides by 20
[tex]6 = k[/tex]
[tex]k = 6[/tex]
Using the same formula, substitute 6 for k
[tex]w = 6 * b[/tex]
[tex]w = 6b[/tex]
Hence:
The equation is represented as [tex]w = 6b[/tex]
What is the slope-intercept equation for the line below?
Answer:
dumb dumb
Step-by-step explanation:
The Giant Anteater can eat 70,000 ants in 2 days. It’s true
Answer:
cool
Step-by-step explanation:
is this a question?
What is the definition of photosynthesis?
the process of converting the energy in oxygen molecules into ATP
the process of changing light into stored chemical energy in the form of sugars
the process of converting the energy in carbohydrate molecules into ATP
the process of changing light into stored chemical energy in the form of lipids
Answer:
he process of changing light into stored chemical energy in the form of sugars
Step-by-step explanation:
The process in which light energy is converted to chemical energy in the form of sugars is correct.
Option (B) is correct.
What is the definition of photosynthesis?
What is photosynthesis ?Photosynthesis is the process by which green plants, algae and some forms of bacteria use energy from sunlight to convert carbon dioxide and water into glucose.
Given that:
Photosynthesis is the process in which light energy is converted to chemical energy in the form of sugars. In a process driven by light energy, glucose molecules (or other sugars) are constructed from water and carbon dioxide, and oxygen is released as a byproduct.
Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar. 5 - 8
So, the process in which light energy is converted to chemical energy in the form of sugars is correct.
Learn more about photosynthesis here:
https://brainly.com/question/19390838
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Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation:
9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = 5x - 4[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(2a) = 5(2a) - 4[/tex]
[tex]f(2a) = 10a - 4[/tex]
[tex]156 = 10a - 4[/tex]
[tex]10a - 4 = 156[/tex]
Add sides 4
[tex]10a - 4 + 4 = 156 + 4[/tex]
[tex]10a = 160[/tex]
Divide sides by 10
[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]
[tex]a = 16[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
help please
first one to answer or if correct will be marked brainliest
Answer:
for a its 4/6 and for b its 2/4
Step-by-step explanation:
3 + 2p - 4 = 11
algebra 1 solving equations
Answer: the variable is p=6 .
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
p = 6
Step-by-step explanation:
Step 1: Simplify both sides.
3 + 2p − 4 = 11
3 + 2p + −4 = 11
(2p) + (3+−4) = 11 (Combine Like Terms)
2p + −1 = 11
2p − 1 = 11
Step 2: Add 1 to both sides.
2p − 1 + 1 = 11 + 1
2p = 12
Step 3: Divide both sides by 2.
2p/2 = 12/2
p=6
what is the slope of (12,22) (-20,19)
Answer:
3/32
Step-by-step explanation:
The slope is found by
m = ( y2-y1)/(x2-x1)
= ( 19-22)/(-20-12)
= -3/-32
= 3/32
1o Divide
$ 20,000 in the ratio 3:2
Answer:
30,000
Step-by-step explanation:
3/2 multiplied by 20k is
3 x 20000 over 2
which is 60000 over 2
which is 30000
pleaseeee hurryyy i needd helppp
How many solutions are there for this equation? Why?
2(m+2)=12−6m
Select the option that correctly answers both questions.
a. There is one solution, because the coefficients of the variables on both sides of the equation are the same.
b. There are no solutions, because the coefficients of the variables on both sides of the equation are different.
c .There is one solution, because the coefficients of the variables on both sides of the equation are different.
d. There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answer:
C. There is one solution, because the coefficients of the variables on both sides of the equation are different.
Step-by-step explanation:
The solution is m = 1
~theLocoCoco
What is the solution of 64 x 64 to the power of 2?
Answer:
16777216
Step-by-step explanation:
64 times 64 equals 4096. 4096 to the power of 2 is 16777216.