Answers
Answer:
1. The similar triangles are ΔXYZ and ΔPQR
The triangles are similar by the AA rule of similarity
2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles
3. x = 17.5
4. x = 20
Step-by-step explanation:
1. The angles of triangle ΔXYZ are;
∠X = 32°, ∠Y = 84° and ∠Z = 180° - (84° + 32°) = 64°
The angles of triangle ΔPQR are;
∠P = 64°, ∠R = 32° and ∠Q = 180° - (64° + 32°) = 84°
The angles of triangle ΔABC are;
∠A = 64°, ∠C = 92° and ∠B = 180 - (92 + 64) = 24°
Therefore, the two similar triangles are ΔXYZ and ΔPQR
The triangles are similar based on Angle-Angle (AA) rule of similarity
2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles
3. We have by corresponding triangles formed by the tree and Enzo as follows;
5 ft./(6 ft.)= x/(21 ft.)
∴ x = 21 ft.× (5 ft./6 ft.) = 17.5 ft.
x = 17.5 feet
4. By corresponding triangles, we have;
(35 ft.)/(40.5 ft.+ 54 ft.) = x ft./(54 ft.)
∴ x ft. = (54 ft.) × (35 ft.)/(40.5 ft.+ 54 ft.) = 54 ft. × (35 ft.)/(94.5 ft.) = 20 ft.
x ft. = 20 ft.
∴ x = 20
Related Questions
The perimeter of a rectangle is 54 cm. The width is 1 cm shorter than the length. What is the length and width of the rectangle
Answers
Answer:
13 is the width and 14 is the length
Step-by-step explanation:
I divided 54 and got 13.5 then I started adding random numbers around 13 like 12+12+13+13 that didn't work it came out to 50 so I went up and did 13+13+14+14 and got my answer
Read the excerpt from "The Tell-Tale Heart."
Which statement best explains how the reader can
determine that the narrator is unreliable?
But you should have seen me. You should have seen
how wisely I proceeded—with what caution—with what
foresight—with what dissimulation I went to work! I was
never kinder to the old man than during the whole week
before I killed him. And every night, about midnight, I
turned the latch of his door and opened it-oh so
gently! And then, when I had made an opening
sufficient for my head, I put in a dark lantern, all closed,
closed, that no light shone out, and then I thrust in my
head. Oh, you would have laughed to see how
cunningly I thrust it in!
O The narrator is very kind to the old man during the
whole week before the murder.
O The narrator checks on the old man every night at
midnight to ensure his well-being.
O The narrator closes the lantern tightly so the old
man is not awakened by the bright light.
O The narrator believes that his audience will approve
of and even laugh at his plot to murder the old man.
Answers
Answer:
The narrator checks the old man at every night at midnight
Step-by-step explanation:
At your first job you make $1200 a month of that you save $200 a month. Your goal is to save 20% did you reach your goal?
Answers
Answer:
No, you didn't
Step-by-step explanation:
20% of $1200 is:
0.2*$1200 = $240Since you saved $200 and its less than $240 you didn't reach your goal
Hi there!
No:
200 is only 6 parts of 1200 together which means that it can’t be 20% of 1200.
If it was 20% of 1200, it would then be 240 since 240·5=1200...
What this means:
No, did not reach the goal since 20% of 1,200 is 240 and 200 is only 16.67% of $1,200.
-PLEASE HELP ASAP-
The first figure is dilated to form the second figure.
Which statement is true?
A)The scale factor is 0.25.
B)The scale factor is 4.
C)The scale factor is 4.35.
D)The scale factor is 7.25.
Answers
Answer:
C
Step-by-step explanation:
5.8 - 4.35= 1.45
Solve the following problem:
5x - 3 = 4x + 3
A. x = 5
B. x = 6
C. x = 7
Answers
Answer:
x=6
Step-by-step explanation:
Step 1: Subtract 4x from both sides.
5x−3−4x=4x+3−4x
x−3=3
Step 2: Add 3 to both sides.
x−3+3=3+3
x=6
Answer:
B.
Step-by-step explanation:
5x-3+3=4x+3+3
5x=4x+6
5x-4x=4x+6-4x
x=6
Can anyone explain polynomials in a way that makes sense lol?
Answers
Answer:
Answer:
well here's the def. maybe this can help you sum up answer
*polynomial
[ pol-uh-noh-mee-uhl ]SHOW IPA
adjective
consisting of or characterized by two or more names or terms.
noun
Algebra.
(in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.
a similar expression in more than one variable, as 4x2y3 − 3xy + 5x + 7.
Now Rare.Also called multinomial. any expression consisting of the sum of two or more terms, as 4x3 + cos x.
a polynomial name or term.
Biology. a species name containing more than two terms.
:
A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?
Answers
Answer:
1.5 Feet
Step-by-step explanation:
15 x .1 = 1.5
this killing me pls help ♀️
Answers
Add 3 to both sides.
-6p = 12
Divide -6 by both sides.
p = -2
Find the unknown length x in the right triangle, to the nearest tenth .
Answers
Answer:
x = 11.7
Step-by-step explanation:
sin of an angle is opposite/hypotenuse
sin 38 = x/19
x = 19 sin 38
x = 11.7
You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.
what is 50 - 30%= i forget how to do it :C
Answers
Answer:
just do 50 times 0.3 your answer should be 15. subtract 15 from 50 and you'll have your answer 35.
work out (10 - 3 x 2) ^2
Answers
Answer:
Step-by-step explanif you subtract 10 from 3 you would get 7 multiply that by 2 x2 and then you would ge
A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?
Answers
Answer: C. 0 ≤ x ≤ 230
When the A golfer hit a golf ball from a tee box that is 6 yards above the ground so the domain of the function is [0,260].
Calculation of the domain of the equation:Here the domain is the values of 'x' in the function f(x).
the position at which the golfer is hit the ball is (0,6) and the position where the ball hits the ground is (230,0)
So, the domain of the function for this situation is [0,260].
Learn more about domain here: https://brainly.com/question/18573273
What's the greatest ten you can multiply by 8 to get close to, but not go over 629
Answers
Answer:
i guss 8× 77 = 524 which is close to it
Answer: 8 x 70 = 560
Which value of x is NOT a solution to the inequality - 19x + 3 < 22?
A) 5
B)0
C)-1
D)-2
Answers
Answer:
A
Step-by-step explanation:
[tex]19x + 3 < 22 \\ 19x < 19 \\ x < 1[/tex]
Describe in your own words how the picture above shows 3(2 + x)
Answers
Answer:
6 + 3x
Step-by-step explanation:
3 * 2 and 3 *x
= 6 + 3x
you can not break that down any farther so it stays at "6 + 3x".
Hope this helps!
Answer:
3(2 + x) = 0
6 + 3x = 0
3x = -6
x = -6/3
x = -2
Hope this help. Do vote me for this. Thanks.
Pleaseee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answers
What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2
3х
+1
Answers
Answer:
Step-by-step explanation:
The question is not displaying correctly.
4x·3x = 12x²
Which fraction is equivalent to 2/34 ? A 11/2 B 11/3 C 11/4 D 11/12
Answers
Answer:
C. 11/4
Step-by-step explanation:
We can make 2 into fourths: in one whole there are 4 fourths so in two wholes there are 8 fourths.
Then add the 3/4 to the 8/4 and we get 11/4.
C. 11/4
can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.
Also put two of these words in it Although or so unless.
40 points
Answers
the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead
(this is english not math change your question when you have to do this again)
ill give brainliest if its correct
Answers
Answer:
3 pieces
Step-by-step explanation:
Given: Figure
To find: Number of 8.5 in. × 11 in. pieces used to cover the floors of a room and a hallway in her dollhouse
Solution:
In the given figure, AC = 22 in.
AB + BC = 22 in.
AB + EF = 22 (As BC = EF being opposite sides of rectangle)
AB + 10 = 22
AB = 22 - 10 = 12 in.
Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches
(area of rectangle = length × breadth )
CE = CD + DE = AH + GF (As CD = AH and DE = GF)
CE = 5 + 15 = 20 inches
Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches
(BC = EF = 10 in.)
Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches
Area of pieces of felt = 8.5 × 11
So,
Number of pieces required = Total area of the figure / Area of pieces of felt = 3 pieces
Which equation is equivalent to
1/5x-3=2/3
A 5X-45=3
B 3x - 15=10
C 3x-45 = 10
D X-15 = 10
Answers
Answer:
c) 3x - 45 = 10
Step-by-step explanation:
[tex]\frac{1}{5}x-3=\frac{2}{3}\\\\\frac{1}{5}x-\frac{3*5}{1*5}=\frac{2}{3}\\\\\frac{x-15}{5}=\frac{2}{3}\\[/tex]
Cross multiply,
3*(x - 15) = 2*5
3*x - 3*15 = 10
3x - 45 = 10
What is the area of the figure below?
Answers
Answer:
104
Explanation:
1. Split the figure by the line the larger portion creates.
2. Calculate the area of the left-hand side... 7 · 8 = 56cm squared.
3. You know that the total length of the figure is 15cm. You've already "used" 7cm of that. So... 15 - 7 = 8.
4. Now, we simply do 6 · 8 = 48. Almost there!
5. Finally, add the values of the left side and the right side (48 + 56 = 104)
6. YOUR ANSWER IS 104 cm squared.
what is the "input" of a function
Answers
8x=2 what is the value ofx
Answers
Answer:
0.25
Step-by-step explanation:
8x=2
[tex] = > x = \frac{2}{8} [/tex]
[tex] = > x = \frac{1}{4} or \: 0.25(ans)[/tex]
Step-by-step explanation:
8x=2
= > x = \frac{2}{8} =>x=
8
2
= > x = \frac{1}{4} or \: 0.25(ans)=>x=
4
1
or0.25(ans)
PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)
Answers
20 POINTS
Translations
7
Acellus
Find the image of the given point
under the given translation.
Help Resources
P(3,-5) T(x, y) = (x +4, y-3)
P' = ([?], []).
Enter the number that belongs in
the green box.
Enter
Answers
Answer:
The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;
7
Step-by-step explanation:
The coordinate of the given point 'P' is P = (3, -5)
The preimage of (x, y) after the translation, [tex]T_{(x, \ y)}[/tex] = (x-coordinate + 4, y-coordinate - 3)
Therefore, the translation, [tex]T_{(x, \ y)}[/tex] = T₍₄, ₋₃₎
Therefore, we have;
Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows
P(3, -5) [tex]\overset{T_{\left ( 4, \, -3 \right )}}{\rightarrow}[/tex]P'(3 + 4, -5 - 3) = P'(7, -8)
Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.
Write 0.4% as a fraction or mixed number in simplest form.
Answers
Answer:
4/1000
Step-by-step explanation:
Bruno is a manager at a factory that makes in-line skates. The equation 200x - y + 500 = 0 relates y, the number of pairs of skates the factory has in the warehouse and x, the number of hours after bruno starts his shift. Show that the equation is a linear equation by writing it in a slope-intercept form. Show your work
Answers
Answer:
Slope- intercept form y = 200 x + 500
Step-by-step explanation:
Explanation:-
Given that the equation
200x - y + 500 = 0
where y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours
The slope-intercept form
y = m x +C
Given equation 200x - y + 500 = 0
200 x + 500 =y
y = 200 x + 500
Slope of the equation m = 200 and y-intercept 'C' = 500
y=5x+1 graph the equation
Answers
This is how you would graph y=5x+1
Y=-9
So the point would be x=-2 and y=-9
which equation would be the easiest to solve first by using the substitution method? EXPLAIN WHY
equation 1: 3x+5y= -8
equation 2: x- 2y=1
Answers
Answer:
Equation 2: x - 2y = 1
Step-by-step explanation:
The equations easiest to use substitution are the ones that have the variable multiplied by one, as in the case of Eq. 2 where x is 1x, so if you substitute a zero for x, we know that y has to be -1/2 for the equation to be true. Furthermore, if you substitute a 0 for y you automatically know that x = 1.
If you try to substitute anything for x in equation 1, let's say x = 1, you still have to multipy by 3, then the rest of the problem would be more steps.