Answers
Answer:
[tex]\boxed {\boxed {\sf x=42}}[/tex]
Step-by-step explanation:
The 2 triangles have 2 pairs of congruent angles, so they are similar by the angle-angle postulate. Therefore, their sides are proportional.
The bases, x and 30 are proportional.
The sides are proportional. Make sure to add 25 and 10 to find the side length of the larger triangle. So, the proportional sides are 35 and 25.
Now, set up a proportion. Make sure to keep the sides of the same triangle together horizontally across.
[tex]\frac {base_1}{base_2}= \frac{side_1}{side_2}[/tex]
[tex]\frac {x}{30}=\frac {35}{25}[/tex]
Since we are solving for x, we must isolate the variable. It is being divided by 30 and the inverse of division is multiplication. Multiply both sides by 30.
[tex]30*\frac {x}{30}=\frac {35}{25}*30[/tex]
[tex]x=30*1.4\\x=42[/tex]
The side x is equal to 42.
Related Questions
Lisa has four pencil and she gives away three how many pencils does Lisa have
Answers
Answer:
1
Step-by-step explanation:
total pencils =4
Lisa gives away =3
4-3=1
Is x=2 a solution?
1. -2(x-4)=4
2. 26/x=13
3. 4(x-1)-3(x-2)=-08
Answers
Answer:
1.yes 2. yes 3. no
Step-by-step explanation:
See attachment for reply.
Hi what is the answer to my question
Answers
Answer:
594
Step-by-step explanation:
You multiply 18 by 3 by 11 :)
If anyone can i help me
Answers
Answer:89
Step-by-step explanation:
the equation is a^2+ B^2= c^2
8^2+ 5^2= X^2
64+25= X^2
89= X^2
The value of x is 9.4 units in the given right triangle, which is determined by Pythagoras's theorem.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
The triangle is given in the form of a right-angled triangle
According to Pythagoras's theorem,
The formula is a² + b² = c²
Here a = 8, b = 5, and c = x
Substitute the values in the above formula,
⇒ 8² + 5² = x²
⇒ 64 + 25 = x²
⇒ 89 = x²
⇒ x² = 89
⇒ x = √89
⇒ x = 9.433
Rounded nearest tenth
⇒ x = 9.4
Therefore, the value of x is 9.4 units in the given right triangle.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
For each pair solve of simultaneous equations solve for x and y x+y=13 and 8x-5y=0
Answers
Answer:
x=5 y=8
Step-by-step explanation:
here's your answer. Please mark as brainliest
Please help me with this.
Answers
Answer: it’s D
Step-by-step explanation:
The body of a dump truck is raised to empty a load of sand. How high is the 14-foot-long body from the frame when it is tipped upward by a 60° angle?
Answers
Answer:
12.12 feets
Step-by-step explanation:
Based on the attached diagram, we can apply trigonometric rule to obtain h :
Sinθ = opposite / hypotenus
Opposite = h
Hypotenus = 14
Sin 60 = h / 14
0.8660254 = h / 14
h = 0.8660254 * 14
Height, h = 12.12 feets
PLZ I NEED HELP NOW!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
Answer:
20 divided by 2 = 10
10 x 1/4 = 10/4 = 2 2/4 = 2 1/2
HELP ME!!!!! im lost......
There are 25% more 7th graders than 6th graders in band. If there are 135 total 6th and 7th graders in the school band, how many 6th graders are in band?
Answers
7th=x
6th=y
Y= 0.25x
X+y=135
Plug in 0.25x for Y
X+0.25x=135
X=108 7th graders
Y=27 6th graders
NEED HELP ASAP
Camille runs every morning before school. On Monday, she ran 2.36 miles. On Tuesday, she ran 4.88 miles. On Wednesday, she ran 3.19 miles. After she ran on Thursday, her total mileage for the week was 12.81 miles. How many miles did she run on Thursday?
Answers
Answer: 2.38
Step-by-step explanation:
Okay so first you add up all the mileage from Monday-Wednesday. After you do that, subtract that number from 12.81 which will give you your answer
Hope this helps :)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
42°
(8x+14)
60°
Answers
Answer:
x = 8
Step-by-step explanation:
the sum of all three interior angles in any triangle = 180°
42° + 8x + 14° + 60° = 180°
8x = 180° - 42° - 14° - 60° = 64°
x = 8
8) Helpppppp please, Thank you.
Answers
Answer:
x = 9
Step-by-step explanation:
What we have here is a bisected angle. What this means is that an angle is being cut in half to create multiple angles. In this case angle E has been bisected. Since that is the case, angles 1 and 2 are equivalent to each other. Now that we know this we can solve for x.
Equation:
x + 8 = 2x - 1
8 = x - 1
9 = x
Daniella earns a 7.5% commission on everything she sells at the electronics store where she works. How much did she earn last week if she sold $3,500 in electronics merchandise
Answers
Answer:$262.50
Step-by-step explanation:3500x.075=262.5
Juan will deposit $1.250 in an account that earns 3% simple interest every year. His brother Pedro will deposit $1,000 in an account that earns 5% interest compounded
annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which statement about the balances of
Juan account and Pedro account at the end of 4 years is true?
A) Juan's account will have about $184.49 more than Pedro's account.
B) Juan's account will have about $1065,51 more than Pedro's account.
c) Pedro's account will have about $1065.51 more than Juan's account
D) Pedro's account will have about $184.49 more than Juan's account.
Answers
The Answer choices are either
45
95
50
90
Answers
The answer would be 95
Point F is located at (3, 4) on a coordinate plane. If Point F is reflected across
the x-axis to create Point F', what will the coordinates of F be?
Answers
Is
The
Correct answer
Part A: How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer.
(5 points
Answers
The solution is (3,5) because that is where the lines meet meaning they both have the same solution at that point.
Sum of digits in a three digit number is nine. The tens digit is half sum of the other two and the hundreds digit is half the units digits. Find the number
Answers
Answer:
234
Step-by-step explanation:
Let the digit in the hundreds place be a, the digit in the tens place be b and the digit in the ones place be c. So a b c is the number.
(Based on the question) a + b + c = 9 ----- Equation 1
From Equation 1, you can get:
2a + 2b + 2c = 18 ----- Equation 2
(Based on the question) 2b = a + c ------ Equation 3
(Based on the question) 2a = c ----- Equation 4
Replace the c in Equation 3 with Equation 4:
2b = a + 2a
Evaluate.
2b = 3a ----- Equation 5
Replace all the values of b and c with Equations 4 and 5 respectively into Equation 1 (Check underlined Equations to realise that all terms equal to a term in a):
2a + 3a + 2(2a) = 18
Evaluate.
2a + 3a + 4a = 18
9a = 18
Find a.
a = 18 ÷ 9
a = 2
Based on Equation 4, find c.
c = 2 × 2
c = 4
Based on Equation 1, find b.
b = 9 - 2 - 4
b = 3
Piecing together the values of a, b and c, the number is 234.
Y = (X+Z)/2
X = Z/2
replacing X in Y
Y = (Z/2 + Z)/2 = 3Z/4
Putting equations X and Y in equation ( X + Y + Z = 9 )
We have,
Z/2 + 3Z/4 + Z = 9
Multiply through by 4
2Z + 3Z + 4Z = 36
Z = 4
Replacing Z to solve for X and Y
Y = 3
X = 2
Find the value of 4!
O A. 24
O B. 16
O C. 12
O D. 10
Answers
Answer:
A) 24
Step-by-step explanation:
4!
4 x 3 x 2 x 1
24
pls help ill give brainliest if correct
no scams or links
Answers
Answer:
3rd one. Amsterdam is the same distance from sea level as Drachten.
Step-by-step explanation:
because Amsterdam is 2 below, and drachten is 2 above, but they are both 2 meters away from the sea level.
I will give brainliest please help me asap! Simplify the expression. Make sure you have all positive exponents.
Answers
Step-by-step explanation:
[tex] \frac{ {x}^{3} }{ {x}^{8} } = {x}^{3 - 8} \\ = {x}^{ - 5} \\ = \frac{1}{ {x}^{5} } [/tex]
To leave answer in positive exponents, just leave the answer inverse of the negative exponents.
An experiment compares the heights of two plants over time. A plant was 2 cm tall at the beginning of the experiment and grew 0.5 centimeters each day. The function f(t)=0.5t+2 represents the height of the plant in centimeters after t days
Answers
Answer:
I 24*():,'6579273
Loobbē
tyuiii
jsjsibhi bsbsy
Make x the subject of the formula
X + p = q
Answers
Answer:
p+q=x
Step-by-step explanation:
Help me out pls! I would appreciate it :)
Answers
Answer:
y < 6 + 16x
Or
y < 16x + 6
Step-by-step explanation:
The inequality 16x - y > -6 cam be rewritten in the slope-intercept form, y > mx + b as follows:
16x - y - 16x > -6 - 16x (subtraction property)
-y > -6 - 16x
Divide both sides by -1 (the inequality sign will change from > to < because we are dividing by a negative number)
-y/-1 < -6/-1 - 16/-1
y < 6 + 16x
Or
y < 16x + 6
C(-2,2) and D(7,2) please solve it
Hello please help me, i am in middle school, i failed two classes last semester and i failed one class this semester, will i flunk?
Answers
Answer:
u should be fine. if anything summer school should help you. college does not care about your middle school grades but you should try your hardest to pass. You have to at least pass
Step-by-step explanation:
Work out 69% of 102.16m
Give your answer rounded to two Decimal Place
Answers
Answer:
70.49
Step-by-step explanation:
Finding the percent of a number is the same as multiplying the number by the percent in decimal form. In other words, diving the percent by (100) and then multiplying the reuslt by the number one wants to find the percent of.
69% of 102.16
= (69 / 100) * 102.16
= 0.69 * 102.16
= 70.4914
~ 70.49
Answer:
70 ( to 2.d.p)Step-by-step explanation:
[tex]69\% \:of \:102.16m\\\\\\\mathrm{Convert\:}69\%\mathrm{\:into\:a\:decimal\:\\and\:multiply\:by\:}102.16\\69\%\:=\frac{69}{100}\\=0.69\\\\\mathrm{Multiply\:}0.69\mathrm{\:by\:}102.16\\\\=0.69\times\:102.16\\\\=70.4904\\\\=70[/tex]
If h=5, then 6h-4 equals
Answers
1. Substitute 5 for h
6(5)-4
30-4 =26
adding 5 and subtracting 5 are____
Answers
Answer:
I do not understand
Step-by-step explanation:
Answer:
This question makes no sense but they cancel out
Step-by-step explanation:
Find the product.
7x}(5x – 3)
Answers
Answer:
35x - 21x
Step-by-step explanation:
(7x × 5x) - (7x - 3)
35x²- 21x
(-2,-4)
(-2,4)
(2,4)
(2, 4)
Answers
Answer:
(-2,-4) is in quadrant 3
(-2,4) is in quadrant 2
(2,4) is in quadrant 1
(2,-4) is in quadrant 4
Step-by-step explanation:
Quadrant 1 is Positive, Positive
Quadrant 2 is Negative, Positive
Quadrant 3 is Negative, Negative
Quadrant 4 is Positive, Negative
Feel free to ask if you have anymore questionsHope this helped :)Step-by-step explanation:
(-2,-4) in 3rd Quadrant
(-2,4) in 2nd Quadrant
(2,4) in 1st Quadrant
(2, -4) in 4th Quadrant
-TheUnknownScientist