All categories

3 years ago

Use the diagram to find the measure of each angle.

Mathematics

1 answer:

Yuki888 [10]3 years ago

3 0

Angle EBA=45 bc on the opposite side its also 45

You might be interested in

Help as soon as possible please

marta [7]

(3x + 5)° + (10x - 7)° = 180°

13x + (-2) = 180

13x = 180 + 2

13x = 182

x = 14

∠QRT = 3 * 14 + 5 = 42 + 5 = 47°

∠TRS = 10 * 14 - 7 = 140 - 7 = 133°

6 0

3 years ago

If Joe works eight hours per week at $10.75 an hour, how much will he make in one month?

Serjik [45]

$10.75 x 8 = $86 x 4(weeks) = $344

7 0

3 years ago

Read 2 more answers

Pattie buys a handbag that costs 240 dollars and a scarf that costs 86 dollars. If sales tax is 7%, what is the total purchase p

Klio2033 [76]

Answer:

$348.82

Step-by-step explanation:

240 +86=326

326× 7%= 22.82

326+22.82= $348.82

7 0

2 years ago

What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

Answer:

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

Solution:

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

6 0

3 years ago

ILL MARK BRAINLEST IF YOU GIVE ME RIGHT ANSWER!!!! Which of the following is a Pythagorean triple?

user100 [1]

Answer:

C.(5,5,10)

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, ... 5, 10, 13, 15, 17, 20, 26, 29, 30, 34, 35, ... 25, 50, 75, 100, 150, 169, 175, 200, 225, ...

6 0

3 years ago