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3 years ago

With similar triangles, the corresponding angles are equal. True or False?

Mathematics

2 answers:

Svetradugi [14.3K]3 years ago

6 0

Answer: its true

i did this on apex too so i got you

Stels [109]3 years ago

5 0

Its true because of the rule (cpct)corresponding parts of congruence triangle.

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√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

Can someone please help me with this???

Flauer [41]

I can answer the first four
1 is 40%
2 is 60
3 is $1.35
4 is 6%

4 0

3 years ago

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What is the shaped called that looks like a rectangle with sides of a triangle (has 6 sides)

Oxana [17]

Its called a hexagon.

6 0

3 years ago

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–

madam [21]

The first step of simplifying the expression would be summing up the "i"s. They are separate ("+i" and "+5i") but you can still sum them up though they are apart. This is thanks to the commutative property of addition which allows summing the terms of an expression with several additions in whatever order it is prefered. Commutative means that the terms can be interchangeable.

4 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!!!

HACTEHA [7]

Answer:

4 because 5 times 4 is 20 and 3 times 4 is 12

7 0

2 years ago

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