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Angles 1 and 2 are complementary and congruent. What is the measure of angle 1

ExtremeBDS [4]

Answer:

45 i think i dont know

Step-by-step explanation:

m

∠

2

=

x

holds true.

Complementary angles have a sum of

90

˚

. Thus, if

∠

1

and

∠

2

are complementary,

m

∠

1

+

m

∠

2

=

90

Substitute the equivalent forms of these angle measurements

(

x

,

x

)

.

x

+

x

=

90

Solve algebraically.

2

x

=

90

x

=

45

Each angle is

45

˚

.

6 0

3 years ago

Simplify 5/6 IM KINDA CONFUSED UMM PLEASE HELP

gulaghasi [49]

The answer is 5/6. It can’t be simplified any further.

4 0

2 years ago

Read 2 more answers

I WILL GIVE BRAINILY... I need the full equation ASAP THANK YOU!!

photoshop1234 [79]

Answer:

$y=\frac{9}{10} x-\frac{7}{5}$

Step-by-step explanation:

points on the line:- (-4,-5)&(6,4)

slope= 4+5/6+4= 9/10

y-4=9/10(x-6)

y=9x/10-54/10+4

y=9/10 x-7/5

✄┈┈┈┈┈┈┈┈┈┈┈┈┈┈«

┍━━━━ ⋆⋅☆⋅⋆ ━━━━┑

hope it helps..

have a great day!!

┕━━━━ ⋆⋅☆⋅⋆ ━━━━┙

6 0

2 years ago

A manufacturing company wants to use a sample to estimate the proportion of defective tennis balls that are produced by a machin

Kitty [74]

Answer:

The least number of tennis balls needed for the sample is 1849.

Step-by-step explanation:

The (1 - α) % confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

Assume that the proportion of all defective tennis balls is p = 0.50.

The information provided is:

MOE = 0.03

Confidence level = 99%

α = 1%

Compute the critical value of z for α = 1% as follows:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

*Use a z-table.

Compute the sample size required as follows:

$MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}$

$=[\frac{2.58\times \sqrt{0.50(1-0.50)} }{0.03}]^{2}\\\\=1849$

Thus, the least number of tennis balls needed for the sample is 1849.

8 0

2 years ago

A rectangular prism is 3 ft long 4 ft wide and 2 ft tall. What is the length of the longest diagonal?

anzhelika [568]

Answer: Pythagorean Theorem in 3 D

sqrt ( 3^2 + 4^2 + 2^2) =

sqrt ( 9 + 16 + 4) =

sqrt( 29) = 5.3852 approximately

Step-by-step explanation:

The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.

8 0

2 years ago