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4 years ago

An angle measures 18 more than the angle of its complementary what is the measure of each angle

Mathematics

2 answers:

Debora [2.8K]4 years ago

5 0

Answer:

Step-by-step explanation:

complementary angles, when added, equal 90 degrees

so if 1 angle is x, then the other angle, its complement, is 90 - x.

x - 18 = 90 - x

x + x = 90 + 18

2x = 108

x = 108/2

x = 54

90 - x = 90 - 54 = 36

so one angle is 54 and its compliment is 36

Ksivusya [100]4 years ago

4 0

Answer:

Step-by-step explanation:

Complementary angles have measures that add to 90°.

ABC and CBD are complementary angles.

Since the angles are complementary, their measures must add to 90°. Set up an equation and solve for n.

n + 18° = 90°

n + 18° − 18° = 90° − 18°

n = 72°

The measure of the complementary angle is 72°.

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I want to know which of two manufacturing methods will be better. I create 10 prototypes using the first process and 10 using th

77julia77 [94]

Answer: (-0.620, 0.220)

Step-by-step explanation:

The formula to find the confidence interval for the difference in true proportion of the two groups. is given by :-

$\hat{p}_1-\hat{p}_2\pm z^* \sqrt{\dfrac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\dfrac{\hat{p}_2(1-\hat{p}_2)}{n_2}}$

, where $n_1$ = Sample size for first group.

$n_2$ = Sample size for second group.

$\hat{p}_1$ = Sample proportion for first group.

$\hat{p}_2$ = Sample proportion for second group.

z* = critical z-value.

Let first group be "group of prototypes by first process " and second group be "group of prototypes by second process".

$p_1$ = Proportion of defectives in the first batch.

$p_2$ = Proportion of defectives in the second batch.

From question , we have

$n_1=10$ , $n_2=10$ , $\hat{p}_1=\dfrac{3}{10}=0.3$ , $\hat{p}_2=\dfrac{5}{10}=0.5$

By z-table , Critical value for 95% confidence interval is z* =1.96.

Substitute all values in formula , we get

$0.3-0.5\pm (1.96)\sqrt{\dfrac{0.3(1-0.3)}{10}+\dfrac{0.5(1-0.5)}{10}}$

$-0.2\pm (1.96)\sqrt{0.021+0.025}$

$-0.2\pm (1.96)\sqrt{0.046}$

$-0.2\pm (1.96)(0.21448)$

$-0.2\pm 0.4203808$

$=(-0.2-0.4203808,\ -0.2+0.4203808)\\\\=(-0.6203808,\ 0.2203808)\\\\\approx(-0.620,\ 0.220)$

Hence, a 95% confidence interval for the difference in the proportion of defectives is (-0.620, 0.220).

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3 years ago

if it takes Doug 40 mins to clean his home and Frankie 50 mins. How long will it take if they work together?

Burka [1]

Sorry Bae , wish i could Help!

7 0

3 years ago

Elapsed time 2:10pm-9:15am

gogolik [260]

Answer:

the elapsed time would be 19 hours and 5 minutes

3 0

3 years ago

The polynomial p(x) = 2x^3+17x^2+41x+30 has a known factor of (x+5)

Assoli18 [71]

Answer:

2x³ + 17x² + 41x + 30 = (x + 5) (x + 2) (2x + 3)

Step-by-step explanation:

2x³ + 17x² + 41x + 30 = (x + 5) (2x² + ax + 6) =

2x³ + (a + 10) x² + (5a + 6) x + 30

a + 10 = 17 a = 7 ( check: 5a + 6 = 5 x 7 + 6 = 41)

2x³ + 17x² + 41x + 30 = (x + 5) (2x² + 7x + 6) = (x + 5) (x + 2) (2x + 3)

3 0

3 years ago

Read 2 more answers

9e + 4 = -5e + 14 + 13e =

Aloiza [94]

Answer:

9e+4=8e+14

1e+4=14

-4

1e=10

e=10

Step-by-step explanation:

6 0

3 years ago