How many triangles exist with the given side lengths? 12 in, 15 in, 18 in

Mathematics

2 answers:

aniked [119]3 years ago

5 0

One because the law of consines works on it

lara31 [8.8K]3 years ago

4 0

If three lengths are fixed, you can only construct one triangle. You can do different stuffs with lengths, but they all will be <span>congruent.</span>

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Lindsey invests $1500 in one account and $900 in an account paying 4 % higher interest. At the end of one year she had earned $2

Yanka [14]

Answer: She invest 41500 at 7% interest and 900 at 11% interest.

Step-by-step explanation:

Formula for simple interest = $\dfrac{\text{Principal x rate x Time}}{100}$

Let $P_1=\$1500,\ P_2=\$900\ \ \ \ , r_1=r, \ \ r_2=r+4,\ \ \ t_1=t_2=1$

Simple interest by first investment = $\dfrac{P_1r_1t_1}{100}=\dfrac{1500(r)(1)}{100}=15r$

Simple interest by second investment = $\dfrac{P_2r_2t_2}{100}=\dfrac{900(r+4)(1)}{100}=9(r+4)$

As per given,

Total interest = $204

$\Rightarrow 15r+9(r+4)=204\\\\\Rightarrow\ 15r+9r+36=204\\\\\Rightarrow\ 24r=204-36\\\\\Rightarrow\ 24r=168\\\\\Rightarrow\ r=\dfrac{168}{24}\\\\\Rightarrow\ r=7\%$

Hence, she invest 41500 at 7% interest and 900 at 11% interest.

3 0

3 years ago

Find measure of x! Please help if you know how to do this

Ainat [17]

Answer:

52°

Step-by-step explanation:

(I'm assuming lines JK and HI are parallel)

∠JKA and ∠HIA are corresponding so they are congruent.

Therefore, since ∠JKA is 62, so is ∠HIA. Then knowing the sum of interior angles of a triangle always must be 180, you can just do the math to get 52° as the remaining angle.

66° + 62° + ∠x = 180

∠x = 52°

7 0

3 years ago

Read 2 more answers

Please help I’m begging you!!

Vinil7 [7]

Answer:

Here is the ans ...hope it helps:)