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3 years ago

Find the distance between the points (5,1) and (1,4).

Mathematics

1 answer:

gavmur [86]3 years ago

8 0

Answer:

Step-by-step explanation:

distance formula √[(x1-x2)²+(y1-y2)²]

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If lines a and b are parallel, and m<8=150, what is the m<2

ss7ja [257]

Step-by-step explanation:

$\underline{\large{ \tt{G \: I \: V \: E \: N}}} :$

Line a & b are parallel
m ∠ 8 = 150 °

$\underline{ \large{ \tt{T \: O\: \: F \: I \: N \:D}}} :$

m ∠ 2

$\underline{ \large{ \tt{S\: O \:L \: U \: T \: I \: O \: N}}} :$

$\large{ \tt{m \: \angle \: 8 \: + \: m \: \angle \: 2 = 180 \degree}}$ [ Sum of co-interior angles ]

⤑ $\large{ \tt{150 \degree \: + m \: \angle \: 2}} = 180 \degree$

⤑ $\large{ \tt{m \angle \: 2 \: = \: 180 \degree - 150 \degree}}$

⤑ $\large{ \tt{m \: \angle \: 2 \: = \bold{ \tt{30 \degree}}}}$

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{30 \degree}}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# $\underbrace{ \tt{Carry \: On \: Learning}}$ !!

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8 0

3 years ago

Read 2 more answers

The legs of an isosceles triangle are 7cm longer than the base. Find the legs if the perimeter of the triangle is 38cm.

irina [24]

The legs of an isosceles triangle are 7cm longer than the base. Find the legs if the perimeter of the triangle is 38cm.

(38 - 7 - 7) : 3 = <em>8 cm (base)</em>

8 + 7 =

check

8 + 15 + 15 = 38

the answer is good

3 0

2 years ago

Read 2 more answers

HELP!! ANSWER AND SHOW STEPS IF POSSIBLE! ASAP HELP PLEASE

Schach [20]

<span>1.) Previous balance = 3529.30
APR = 18.6%, thus monthly interest rate = 18.6 / 12 = 1.55%
Previous balance + interest = 3529.30(1 + 0.0155) = 3584.00
New balance after transaction = 3584.00 + 148 = 3732.00

2.) Previous balance = 5834.53
APR = 20.4%, thus monthly interest rate = 1.7%
Previous balance - payment = 5834.53 - 150 = 5680.53
Balance + interest = 5634.53(1 + 0.017) = 5781.17
New balance after transaction = 5781.17 + 325 = 6106.17

3.) Total payment = 15264
Number of payments = 72 monthly payments
Monthly payment = 15264 / 72 = 212

4.) Amount bollowed = 7400 at 7% APR
Amount plus interest = 7400(1 + 0.07) = 7918
Monthly payment = 7918 / 12 = 659.83
</span>

5 0

4 years ago

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The pieces of a 500 piece puzzle are stored in three containers. 220 pieces are in the first container and 180 pieces are in the

aleksley [76]

Answer:

20 percent

Step-by-step explanation:

Total number of pieces in a puzzle = 500

No. of pieces in first container = 220

No. of pieces in second container = 180

Let no. of pieces in the third container be x.

We get,

$220+180+x=500$

On adding 220 and 180, we get

$400+x=500$

On transposing 400 to RHS, we get

$x=500-400=100$

Percentage of pieces in the third container = (no. of pieces in third container/total no. of pieces in a puzzle) $\times 100$

$=\frac{100}{500}\times 100=\frac{10000}{500}=20$

Therefore, percentage of pieces in the third container = 20 percent

6 0

4 years ago

assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. find the

drek231 [11]

Answer:

65.3658 inches

Step-by-step explanation:

Let X be the height of a woman randomly choosen. We know tha X have a mean of 63.6 inches and a standard deviation of 2.5 inches. For an x value, the related z-score is given by z = (x-63.6)/2.5. We are looking for a value $x_{0}$ such that $P(X < x_{0}) = 0.76$ , but, $0.76 = P(X < x_{0}) = P((X-63.6)/2.5 < (x_{0}-63.6)/2.5) = P(Z < (x_{0}-63.6)/2.5)$ , i.e., $(x_{0}-63.6)/2.5$ is the 76th percentile of the standard normal distribution. So, $(x_{0}-63.6)/2.5 = 0.7063$ , $x_{0} =63.6+(2.5)(0.7063) = 65.3658$ . Therefore, the height of a woman who is at the 76th percentile is 65.3658 inches.

7 0

4 years ago