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3 years ago

The measure of Angle d is 150°. What is the value of Measure of angle b + measure of angle c + measure of angle e?

Mathematics

1 answer:

horrorfan [7]3 years ago

6 0

Answer:

$\angle b + \angle c + \angle e = 120^\circ$

Step-by-step explanation:

Given

$\angle d = 150$

See attachment for illustration

Required

Find $\angle b + \angle c + \angle e =$

The sum $of\ angles\ at$ a point is $360^\circ$

So:

$\angle a + \angle b + \angle c + \angle d + \angle e = 360^\circ$

Angle a is at right angled.

So:

$90 + \angle b + \angle c + 150 + \angle e = 360^\circ$

Collect like terms

$\angle b + \angle c + \angle e = 360^\circ -150^\circ - 90^\circ$

$\angle b + \angle c + \angle e = 120^\circ$

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Simplify: (2x - 3)(3x + 4)

UNO [17]

(2x - 3) (3x + 4) = 6x² + 8x - 9x - 12 = 6x² - x - 12 

5 0

3 years ago

There were 632 animals gathered at the river. A herd of 187 elephants and 266 zebras left the river area. How many animals were

Orlov [11]

Answer:

179 animals were still at the river

Step-by-step explanation:

There were 632 animals at the river.

A herd of 187 elephants and 266 zebras left the river area.

This means that 187 + 266 = 453 animals left the river area.

Remaining:

632 - 453 = 179

179 animals were still at the river

3 0

3 years ago

Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

3 years ago

Increase 250ml by 86%

Alexandra [31]

250=100%
25=10%
12.5=5%
2.5=1%
25*8=200(80%)
12.5+2.5=15(6%)
200+12=215(86%)
250+200=450(186%)
so 450ml is your answer
Hope this helped :)

6 0

3 years ago

(MATH) (6) ((PHOTO)) label is sq yd

Annette [7]

Answer:

20 sq yd

Step-by-step explanation:

To find the total amount of sq yd's of paint needed, you have to find the area.

The area of a triangle is: A = 1/2 bh

We know:

b = base = 8

h = height = 5

Plug in and solve:

A = 1/2 (8) (5)

A = 1/2 (40)

A = 20

5 0

3 years ago