1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
prohojiy [21]
2 years ago
13

In AHIJ, m_H=(8x-6)°, m_1=(2x-4)', and m2)=(x-8)". Find mcH.

Mathematics
1 answer:
blondinia [14]2 years ago
5 0

9514 1404 393

Answer:

  m∠H = 138°

Step-by-step explanation:

Perhaps you have ΔHIJ and want the measure of ∠H.

  ∠H +∠I +∠J = 180°

  (8x-6) +(2x-4) +(x-8) = 180

  11x -18 = 180 . . . . . . collect terms

  11x = 198 . . . . . . . . . add 18

  x = 18 . . . . . . . . . . .  divide by 11

Then angle H is ...

  m∠H = (8(18) -6)°

  m∠H = 138°

You might be interested in
6. A triangular sail has a base length of 2.5 meters. The area of theis 3.75 square meters. How tall is the sail?
Tom [10]
The sail is 3 meters tall
6 0
3 years ago
Which phrase describes the algebraic expression x/15?
ss7ja [257]
The quotient of a number and 15
8 0
2 years ago
Read 2 more answers
Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all an
Gelneren [198K]

Answer:

(a) P (<em>Z</em> < 2.36) = 0.9909                    (b) P (<em>Z</em> > 2.36) = 0.0091

(c) P (<em>Z</em> < -1.22) = 0.1112                      (d) P (1.13 < <em>Z</em> > 3.35)  = 0.1288

(e) P (-0.77< <em>Z</em> > -0.55)  = 0.0705       (f) P (<em>Z</em> > 3) = 0.0014

(g) P (<em>Z</em> > -3.28) = 0.9995                   (h) P (<em>Z</em> < 4.98) = 0.9999.

Step-by-step explanation:

Let us consider a random variable, X \sim N (\mu, \sigma^{2}), then Z=\frac{X-\mu}{\sigma}, is a standard normal variate with mean, E (<em>Z</em>) = 0 and Var (<em>Z</em>) = 1. That is, Z \sim N (0, 1).

In statistics, a standardized score is the number of standard deviations an observation or data point is above the mean.  The <em>z</em>-scores are standardized scores.

The distribution of these <em>z</em>-scores is known as the standard normal distribution.

(a)

Compute the value of P (<em>Z</em> < 2.36) as follows:

P (<em>Z</em> < 2.36) = 0.99086

                   ≈ 0.9909

Thus, the value of P (<em>Z</em> < 2.36) is 0.9909.

(b)

Compute the value of P (<em>Z</em> > 2.36) as follows:

P (<em>Z</em> > 2.36) = 1 - P (<em>Z</em> < 2.36)

                   = 1 - 0.99086

                   = 0.00914

                   ≈ 0.0091

Thus, the value of P (<em>Z</em> > 2.36) is 0.0091.

(c)

Compute the value of P (<em>Z</em> < -1.22) as follows:

P (<em>Z</em> < -1.22) = 0.11123

                   ≈ 0.1112

Thus, the value of P (<em>Z</em> < -1.22) is 0.1112.

(d)

Compute the value of P (1.13 < <em>Z</em> > 3.35) as follows:

P (1.13 < <em>Z</em> > 3.35) = P (<em>Z</em> < 3.35) - P (<em>Z</em> < 1.13)

                            = 0.99960 - 0.87076

                            = 0.12884

                            ≈ 0.1288

Thus, the value of P (1.13 < <em>Z</em> > 3.35)  is 0.1288.

(e)

Compute the value of P (-0.77< <em>Z</em> > -0.55) as follows:

P (-0.77< <em>Z</em> > -0.55) = P (<em>Z</em> < -0.55) - P (<em>Z</em> < -0.77)

                                = 0.29116 - 0.22065

                                = 0.07051

                                ≈ 0.0705

Thus, the value of P (-0.77< <em>Z</em> > -0.55)  is 0.0705.

(f)

Compute the value of P (<em>Z</em> > 3) as follows:

P (<em>Z</em> > 3) = 1 - P (<em>Z</em> < 3)

             = 1 - 0.99865

             = 0.00135

             ≈ 0.0014

Thus, the value of P (<em>Z</em> > 3) is 0.0014.

(g)

Compute the value of P (<em>Z</em> > -3.28) as follows:

P (<em>Z</em> > -3.28) = P (<em>Z</em> < 3.28)

                    = 0.99948

                    ≈ 0.9995

Thus, the value of P (<em>Z</em> > -3.28) is 0.9995.

(h)

Compute the value of P (<em>Z</em> < 4.98) as follows:

P (<em>Z</em> < 4.98) = 0.99999

                   ≈ 0.9999

Thus, the value of P (<em>Z</em> < 4.98) is 0.9999.

**Use the <em>z</em>-table for the probabilities.

3 0
2 years ago
Solve the proportion.3/4=v/14​
Brums [2.3K]

Answer:

10.5

Step-by-step explanation:

3 0
2 years ago
Russell wants to purchase a computer that costs $1575. With a larger monitor, the cost of the computer will go up 8%. How much w
lesya [120]

First, we need to find 8% of 1,575. To do so we have to divide 8 by 100, then multiply the quotient by 1,575.

8% ⇒ 0.08

1,575 × 0.08 = 126

Now add the 8% increase to the original cost.

1,575 + 126 = 1,701

<h2>Answer:</h2>

<u>Option 1: </u><u>$1,701</u><u>.</u>

I hope this helps :)

8 0
2 years ago
Other questions:
  • Yolanda will put 70 photos ina scrapbook. She will put the same number of photos on each of 6 pages. Four photos will be in each
    13·1 answer
  • What is 4/5 of a dollar?
    13·2 answers
  • Need help on 18 please!!!!!!
    10·1 answer
  • What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
    12·1 answer
  • AB is tangent to circle O at A. The diagram is not drawn to scale. if AO=21 and BC=14, what is AB?
    9·2 answers
  • What are the solutions to the equation x^2+6=40?
    14·1 answer
  • If a fair coin is tossed 11 times, in how many different ways can the sequence of heads and tails appear?
    14·1 answer
  • Help me I need to get a 100
    15·1 answer
  • PLS HELP PLS THE LAST QUESTION I ASKED PLSSSSS
    15·1 answer
  • (8.6x107)-(9.1x10-8)simplify
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!