Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.
(3) Corresponding sides of △MNP and △RST
Given that △MNP ∼△RST.
This means that, the corresponding sides are:
MN and RSMP and RTNP and ST(4) The equal measures
Given that △ABC ∼△TUV
This means that, the corresponding angles are equal, but corresponding sides are not.
So, the equal measures are:
(a). the measures of ∠A and ∠T (c). the ratios of the sides BC/UV and AC/TVThe unequal measure is:
(b). the perimeters of the two triangles(c) Scale mapping
The scale mapping is given as:
[tex]Ratio = 1\ in : 100\ mi[/tex]
The above scale means that 1 inches on the scale represents 100 miles of the actual distance.
Take for instance, 5 inches would represent 500 miles.
500 is 5 times 100
Hence, the actual distance between two towns 100 times the map distance between the two towns
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Help me solveee this
The solution to the following inequality:
-3(6-2g)>4g
Answer:
Solution: g > 9
Interval Notation: (9 , ∞)
Step-by-step explanation:
-3 * (6-2g) > 4g
-18 + 6g > 4g
6g - 4g > 18
2g > 18
g > 9
What are the common factors of 45 and 272
O A 1,36.9.15
0
B. 1.39
C 1.3.9.15
D. 1,3,5,9
Answer:
Step-by-step explanation:
they are prime to eachother.
There is only one common factor .i.e.,1
45=1×3×3×5
272=1×2×2×2×2×17
PLSSS help now!!!!!! Will mark Brainlyest !!!
Answer:
(7, -4)
Step-by-step explanation:
Rotation 180° causes both coordinates to change sign. It is the same as reflection across the origin, or reflection across both the x- and y-axes.
The image point is (7, -4).
Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?
A.Amaya made a mistake because 4 is not equal to 5.
B.No values of x make the equation true.
C.All values of x make the equation true.
D.The solution is x=4 or 5.
Answer:
B.
Step-by-step explanation:
4 is of course not equal to 5 so no values of x make the equation true.
There are no solutions to this equation.
A shirt costing $34 is on sale for 30% off. What is the new price of the shirt after the discount?
Answer:
$23.80
Step-by-step explanation:
30% off means we take 30% off of the original price, or we calculate
(1-30%)=70% of the shirt's price
34*70%=23.8
round 78300 nearest hundred
Answer:
78300 rounded to the nearest hundred is 78300.00 it would basically be the sam thing as 78300
Step-by-step explanation:
Hope this helps :)
What is the product of (x2 + 3x + 9) and ( 2x + 7)?
Answer:
Ez 1+1=3 Duh
Step-by-step explanation:
You add 1 to 1 it will become 3Find the least common denominator for these fractions. Enter your answer in
the space provided.
Answer: 27
Step-by-step explanation: LCM of 3 and 27 is 27.
Help help ASAP ASAP
Answer:
1
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - 4 / 0 - -2
2 / 2 = 1
Use the graph method to solve the system of linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3,0)
Answer:
C) (0,3)
Step-by-step explanation:
It would be that answer because I found the answer in a website. Its Math-way
Answer:
C) (0,3)Step-by-step explanation:
Graph each line on the same plane and take the point of their intersection.
Given linear equations:
2x + y = 3 and x + y = 3See the attached to confirm the answer is the point (0, 3)
I need help doing this
find the value of 7u+7 given that -3u-5=4
Answer:
14
Step-by-step explanation:
-3u = 4+5
-3u = 9
u = -3
7u + 7
7(u +1) = 7(-3+1)
7(-2)
14
Help help help math math
Answer:
gradient M = 4
Step-by-step explanation:
pick any two pairs
M= change in Y / change in X
considering the last pairs
3--1/0--1=4✓
considering first pair
-1--5/-1--2 is also 4✓
I hope it helps
help me please ill mark as the brainiest if correct.
Answer:
14 minutes
Step-by-step explanation:
For every two minutes the temperature increases by 15 c. since 8 equals 55, 10 is 70, 12 is 85, and 14 is 100.
Answer:
14
Step-by-step explanation:
1. Find selling price in the following cases.
a) Market price = Rs 480,discount = Rs 40
b) Market price = Rs 870, discount = Rs 75.
2. Find cost price or selling price in the following cases.
a) cost price = Rs 120, profit = Rs 25
b) selling price = Rs 200, profit = Rs 20
Answer:
1) a. Rs 440.
1) b. Rs 795.
2) a.Rs 145.
2) b. Rs 180.
Step-by-step explanation:
1) a.
Given,
Marked Price = Rs 480
Discount Amount = Rs 40
Selling Price = ?
Now,
Selling Price = Marked Price - Discount Amount
= Rs 480 - Rs 40 = Rs 440.
1) b.
Given,
Marked Price = Rs 870
Discount Amount = Rs 75
Selling Price = ?
Now,
Selling Price = Marked Price - Discount Amount
= Rs 870 - Rs 75 = Rs 795.
2) a.
Given,
Cost Price = Rs 120
Profit = 25
Selling Price = ?
Now,
Selling Price = Cost Price + Profit
= Rs 120 + Rs 25 = Rs 145.
2) b.
Given,
Selling Price = Rs 200
Profit = Rs 20
Cost Price = ?
Now,
Cost Price = Selling price - Profit
= Rs 200 - Rs 20 = Rs 180.
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help me pls
sssssssssssssssssssss
Please help my assignment
72 is what percent of 36
A notecard is 3 inches by 4 inches. How
long is its diagonal
Answer:
7. Is answer
Step-by-step explanation:
Because 3+4=7
The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?
A. 14 cm
B. 49 cm
C. 60 cm
D. 7 cm
Answer:
the answer is 14
Step-by-step explanation:
[tex]1 \div 2b \times h = 1 \div 2 \times 20 \times b = 140 \: so \: base \: = 14[/tex]
hope this helped
The sum of the bases of a trapezoid using height is 20 cm is 14 cm.
Thus, option (A) is correct.
The formula to calculate the area of a trapezoid is given by:
Area = 1/2 x height x sum of bases
Given that the area is 140 cm² and the height is 20 cm.
Now, rearrange the formula to solve for the sum of the bases:
Sum of bases = (2 x Area) / (height)
Substitute the given values:
Sum of bases = (2 x 140) / (20)
= 14
So, the sum of the bases is 14 cm.
Thus, option (A) is correct.
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Please help I don't understand
| X = 2 | Y = 3 | Z = 4 |
Evaluate the expression using the solutions above
5x + 6z + 2y
Answer:
The expression can be written as:
5(2) + 6(3) + 2(4).
if I'm wrong, please tell me
Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{1}{8} < \frac{2}{7} [/tex]
1/8 < 2/7
Answer: B
#CarryOnLearning
Can someone help me? Will make brainiest :)
Answer:
D
Step-by-step explanation:
BH is perpendicular to AC since an orthocenter is a point at which the three altitudes of a triangle intersect. The altitude of a triangle is that line that passes through its vertex and is perpendicular to the opposite side. Since you know that BH is an altitude due to Point H being an orthocenter, you know that BH is perpedendicular to AC.
what does it mean to square a value/ expression
Squaring a number means multiplying the same number by itself.
For example,
[tex]\\2 \cdot 2 =2^2\\\\a\cdot a =a^2~~ \\\\ (a+1)(a+1) =(a+1)^2 \\\\ (x^{10}+1)(x^{10}+1) =(x^{10}+1)^2[/tex]
6. If the net investment function is given by
I(t) = 100e0.11
calculate
(a) the capital formation from the end of the second year to the end of the fifth year
(b) the number of years required before the capital stock exceeds $100 000.
The capital formation of the investment function over a given period is the
accumulated capital for the period.
(a) The capital formation from the end of the second year to the end of the fifth year is approximately 298.87.(b) The number of years before the capital stock exceeds $100,000 is approximately 46.15 years.Reasons:
(a) The given investment function is presented as follows;
[tex]I(t) = 100 \cdot e^{0.1 \cdot t}[/tex]
(a) The capital formation is given as follows;
[tex]\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot e^{0.1 \cdot t}} + C[/tex]
From the end of the second year to the end of the fifth year, we have;
The end of the second year can be taken as the beginning of the third year.
Therefore, for the three years; Year 3, year 4, and year 5, we have;
[tex]\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87[/tex]
The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87
(b) When the capital stock exceeds $100,000, we have;
[tex]\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000[/tex]
Which gives;
[tex]\displaystyle 1000 \cdot e^{0.1 \cdot t}} - 1000 = 100,000[/tex]
[tex]\displaystyle \mathbf{1000 \cdot e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000[/tex]
[tex]\displaystyle e^{0.1 \cdot t}} = 101[/tex]
[tex]\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15[/tex]
The number of years before the capital stock exceeds $100,000 ≈ 46.15 years.
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Hello could I please get a straightforward answer I need to catch up pelsse
Answer:
Step-by-step explanation:
Please help and I have to do this as soon as possible
Answer:
60
Step-by-step explanation:
→ Work out the change in distance
160 - 40 = 120
→ Work out the change in time
3 - 1 = 2
→ Apple speed = distance over time
120 ÷ 2 = 60
What is 1,000 x 10,090g
Answer:
10,090,000 grams
Step-by-step explanation:
Just add three zeros to 10090g.