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morpeh [17]
2 years ago
9

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?<br> |-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?<br> c. 5<br> b. 3<br> d. 6<br> 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:

<u>Given: </u>

line y=3x-1

point (-3,0)

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

<u>Solution:</u>

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
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