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1 year ago

What is the value of x in this diagram? I need this ASAP!!!

Mathematics

1 answer:

Sergio039 [100]1 year ago

4 0

Answer:

x is 33

Step-by-step explanation:

All 3 of these angles added together create a straight line, and such lines always measure 180°, so if we create an equation with the 3 angles being added together, set it equal to 180, and solve, we'll find the answer:

104+x+(x+10)=180

104+x+x+10=180 (use the distributive property to remove parenthesis)

104+10+x+x=180 (rearrange terms)

114+2x=180 (combine like terms)

2x=180-114 (subtract 114 from both sides)

2x=66

x=33 (divide 2 from both sides)

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Please help!❤️ 9/4y-2=25 Please solve and show work!!

STatiana [176]

9/4y-2=25
9/4y-2+2=27+2
9/4y=27
9/4y*4y=27*4y
9=4y*27,
1/3=4y, (9/27 simpltfies to 1/3, 1/3 divided by 4: 1/3*1/4=1/12)
1/12=y

Answer:y=1/12

8 0

2 years ago

Read 2 more answers

Which of the following is equivalent to the radical expression below? 5^8*13

Bezzdna [24]

Answer:

$(d)$ $5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}$

Step-by-step explanation:

Given

$5^{8.13}$

Required

Select an equivalent expression

$5^{8.13}$

Simplify the power

$5^{8.13} = 5^{8 + 0.1 + 0.03}$

Apply law of indices:

$5^{8.13} = 5^{8} * 5^{0.1} * 5^{0.03}$

Express decimal as fractions

$5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}$

5 0

2 years ago

A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row

wolverine [178]

Answer:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S $_{n}$ = $\frac{n}{2}$ (a + l), where

a is the first term

l is the last term

n is the number of the terms

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

∴ a = 26

∵ The last row has 150 seats

∴ l = 150

∵ The theater seats are 2,816

∴ S $_{n}$ = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = $\frac{n}{2}$ (26 + 150)

∴ 2,816 = $\frac{n}{2}$ (176)

∴ 2,816 = 88n

→ Divide both sides by 88

∴ 32 = n

∵ n represents the number of the rows

∴ The theater has 32 rows

3 0

2 years ago

The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?

jonny [76]

Answer:

$\displaystyle -2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Average Rate of Change: $\displaystyle \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

Step 1: Define

Interval -1 ≤ x ≤ 3

a = -1, b = 3

f(a) = f(-1) = 4

f(b) = f(3) = -4

Step 2: Find Average

Substitute in variables [ARC]: $\displaystyle \frac{f(3) - f(-1)}{3 + 1}$
Substitute: $\displaystyle \frac{-4 - 4}{3 + 1}$
[Fraction] Subtract/Add: $\displaystyle \frac{-8}{4}$
[Fraction] Divide: $\displaystyle -2$

4 0

2 years ago

Hi can someone help me with this

Ad libitum [116K]

Answer:

25 units

Step-by-step explanation:

Applying Pythagoras' Theorem,

(BD)^2= (CD)^2 + (BC)^2

(BC)^2= 65^2 - 60^2

(BC)^2= 625

BC= √625= 25

5 0

2 years ago