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vovikov84 [41]
3 years ago
12

Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠

XYZ? Neeed this fast asap
15°


30°


45°


75°
Mathematics
2 answers:
kap26 [50]3 years ago
6 0

Answer:

B,30°

Step-by-step explanation:

prohojiy [21]3 years ago
4 0

Answer:

B,30

Step-by-step explanation:

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Solve the following quadratic equation by completing the square ✓3x^2 + 10x + 7✓3 = 0​
solmaris [256]

\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 =   \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 =    -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}

5 0
3 years ago
8.
mihalych1998 [28]

Answer

Secured

Step-by-step explanation:

eee

4 0
3 years ago
Read 2 more answers
What is the answer for 52 divided by 8 with remainder
Sveta_85 [38]
The answer is 6 with a remainder of 4
4 0
3 years ago
Passes through the point (0,6) and has a slope of -2/3
Vadim26 [7]

Answer:

y=-\frac{2}{3}x + 6

Step-by-step explanation:

We are given that a line has a slope of -2/3 and passes through the point (0,6)

We want to write the equation of this line; there are 3 forms of the line that we can use:

  • Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
  • Standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
  • Slope-point form, which is y-y_1=m(x-x_1), where m is the slope and (x_1, y_1) is a point

All though while writing the equation of the line in any of these ways is acceptable, the most common way is to write it in slope-intercept form, so let's do it that way.

As we are already given the slope, we can immediately substitute m with that value.

Replace m with -2/3:

y = -2/3x + b

Now we need to find b.

As the equation passes through the point (0, 6), we can use it to help solve for b.

Substitute 0 as x and 6 as y.

6 = -2/3(0) + b

Multiply

6 = 0 + b

Add

6 = b

Substitute 6 as b.

y = -2/3x + 6

Topic: finding the equation of the line

See more: brainly.com/question/27645158

8 0
1 year ago
Find the product of (5t-3) and (3t +7) when t = 6
emmasim [6.3K]

Answer:

675

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

(5t - 3) · (3t + 7)

t = 6

<u>Step 2: Evaluate</u>

  1. Substitute in <em>t</em>:                    (5(6) - 3) · (3(6) + 7)
  2. (Parenthesis) Multiply:       (30 - 3) · (18 + 7)
  3. (Parenthesis) Subtract:      27 · (18 + 7)
  4. (Parenthesis) Add:             27 · 25
  5. Multiply:                              675
8 0
3 years ago
Read 2 more answers
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