All categories

3 years ago

Image attached. Geometry: finding angles

Mathematics

1 answer:

miv72 [106K]3 years ago

4 0

Answer:

28 degrees

Step-by-step explanation:

Because a triangle equals 180, you can subtract 90 and 34 from triangle ABE to leave you with 56 degrees for angle B.

Since CBA is a straigth line with 180 degrees, you can subtract 56 to end up with 124 degrees for angle CBE.

Since line BD bisects angle EBC (splits in half), you can divide the 124 degrees into 62 degrees.

Now that we know angle CBE equals 62 degrees, we can add the 90 degrees and subtract them from the 180 degrees of the triangle.

62+90=152

180-152=28

You might be interested in

Can someone help answer at least one? :) ty

Vika [28.1K]

Answer:

Step-by-step explanation:

a). Ratio of OP and RT = $\frac{OP}{RT}$

= $\frac{12}{3.6}$

= $\frac{10}{3}$

b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.

$\frac{OQ}{RS}=\frac{OP}{RT}$

$\frac{OQ}{4.5}=\frac{10}{3}$

OQ = $\frac{10\times 4.5}{3}$

OQ = 15 cm

c). m∠P = m∠T = 60°

d). m∠Q = m∠S

By applying angle sum theorem in ΔRST,

m∠R + m∠S + m∠T = 180°

26° + m∠S + 60° = 180°

m∠S = 180° - 86°

= 94°

Therefore, m∠Q = m∠S = 94°

3 0

3 years ago

Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund

lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

$\sigma=\sqrt{\frac{p*(1-p)}{n} }$

If n=1139 and p =0.96, the standard deviation is:

$\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836$

The minimum and maximum usual values are:

$\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n$

$\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62$

5 0

2 years ago

Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find t

sashaice [31]

Answer:

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

What is the equation for this situation?

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

Learn more about equation in:

brainly.com/question/10413253

Step-by-step explanation:

8 0

2 years ago

ANSWER ALL FOR BRAINLIEST and lots of points with explanation !!!!ASAP!!

castortr0y [4]

Answer:

here you go

Step-by-step explanation:

20) 3125.76

do 4%*8= 0.32 then 0.32*9768=3125.76

21) Evan- 10%, Jordan-26%, Curt 64%

22) 22 votes (the answer would be 22.62 but you have to round down)

7 0

2 years ago

Help me with this one please

lesya [120]

For me, it’s easiest when i distribute the negative sign if i need to and then reorder to put the like terms together. and then solve.
(also sorry if it’s a little confusing with all the parentheses, i use them because it helps me organize everything)

21. (4x-9y) + (6x+10) + (8y-4)
= 4x + 6x - 9y + 8y + 10 - 4
= 10x - y + 6
—> D

22. (6x+9y-15) + (2x-9y+8)
= 6x + 2x + 9y - 9y - 15 + 8 (the 9y - 9y = 0, so you can leave it out of the final equation)
= 8x - 7
—> D

23. (9x^2-8x+3) - (5x^2-6x+4)
= 9x^2 - 8x + 3 - 5x^2 -(-6x) - 4
= 9x^2 - 5x^2 - 8x + 6x + 3 - 4 (remember that two - signs next to each other make a + sign)
= 4x^2 - 2x - 1
—> A

24. (9x^3-7x+8) - (5x^2+7x-10)
= 9x^3 - 7x + 8 - 5x^2 - 7x -(-10)
= 9x^3 - 5x^2 - 7x - 7x + 8 + 10
= 9x^3 - 5x^2 - 14x + 18
—> D

25. (6x+14y) - ((7x+5y) + (x-8y))
= (6x+14y) - (7x + x + 5y - 8y)
= (6x+14y) - (8x-3y)
= 6x + 14y - 8x -(-3y)
= 6x - 8x + 14y + 3y
= -2x + 17y
—> B

5 0

2 years ago