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2 years ago

Please help as soon as possible! I need to get this done now! Thank you so much

Mathematics

2 answers:

NNADVOKAT [17]2 years ago

4 0

Answer:

7. SAS

8. XZW is congruent to XZY

shtirl [24]2 years ago

3 0

Answer:

sas

Step-by-step explanation:

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How do you solve with all the steps? |-2(x+2)|=1

Tanya [424]

Answer:

x = - 5/2 or x = - 3/2

Step-by-step explanation:

|-2(x+2|=1

|-2x-4|=1

- 2x - 4 = 1 or - 2x - 4 = - 1

- 2x - 4 = 1

- 2x = 4+1

x = - 5/2

or -2x - 4 = - 1

-2x = 4 - 1

x = - 3/2

7 0

2 years ago

How many significant digits are in 1000.10? c. 5 b. 3 d. 6 a. 2

Y_Kistochka [10]

6 significant digits (D)

5 0

2 years ago

Read 2 more answers

Through: (-3,0), perp. to y = 3x - 1

Marrrta [24]

Answer:

$y=-\dfrac{1}{3}x-1$

Step-by-step explanation:

Given:

line y=3x-1

point (-3,0)

Write: equation of the line that is perpendicular to the given and passes through the point (-3,0)

Solution:

The slope of the given line is $m=3$

If $m_1$ is the slope of perpendicular line, then

$m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}$

So, the equation of the needed line is $y=-\dfrac{1}{3}x+b.$

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

$0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1$

7 0

2 years ago

in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your nume

Andrew [12]

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The $m\angle CAB$ and $m\angle CAD$ .

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

$m(arcADC)=m(arcAD)+m(arcDC)$

$228^\circ=180^\circ+m(arcDC)$

$228^\circ-180^\circ+=m(arcDC)$

$48^\circ+=m(arcDC)$

The measure inscribed angle is half of the corresponding subtended arc.

$m\angle CAD=\dfrac{1}{2}\times m(arcDC)$

$m\angle CAD=\dfrac{1}{2}\times 48^\circ$

$m\angle CAD=24^\circ$

AB is the tangent. So, $m\angle BAD=90^\circ$ because radius is perpendicular on the tangent and the point of tangency.

$m\angle BAD=m\angle CAB+m\angle CAD$

$90^\circ=m\angle CAB+24^\circ$

$90^\circ -24^\circ=m\angle CAB$

$66^\circ=m\angle CAB$

Therefore, $m\angle CAB=66^\circ$ and $m\angle CAD=24^\circ$ .

4 0

2 years ago

Jim and Dianna want to save for their child’s college expenses. They find an annuity that pays 6% annual interest, compounded mo

lana66690 [7]

Answer:

future value = $49163.8

so required amount will be $491200 nearest $100

Step-by-step explanation:

given data

annual interest rate = 6 %

annuity = $300 per month

time period = 10 years

to find out

how much money will they have for the college expenses

solution

we know that effective rate will be

effective rate = $\frac{0.06}{12}$

effective rate = 5 × $10^{-3}$

number of payment = 12 × 10 = 120

so future value will be express as

future value = annuity × $\frac{(1+r)^t-1}{r}$ .........1

future value = 300 × $\frac{(1+5*10^{-3})^{120}-1}{5*10^{-3}}$

future value = 300 × 163.8793

future value = $49163.8

so required amount will be $491200 nearest $100

7 0

3 years ago