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marishachu [46]
2 years ago
12

What is the measure of

Mathematics
1 answer:
Anna007 [38]2 years ago
8 0
It’s A trust me I just did it
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In the figure CD is the perpendicular bisector of AB . If the length of AC is 2x and the length of BC is 3x - 5 . The value of x
Dennis_Churaev [7]

Answer

Find out the value of x .

To proof

SAS congurence property

In this property two sides and one angle of the two triangles are equal.

in the Δ ADC and ΔBDC

(1) CD = CD (common side of both the triangle)

(2) ∠CDA = ∠ CDB = 90 °

( ∠CDA +∠ CDB = 180 ° (Linear pair)

as given in the diagram

∠CDA  = 90°

∠ CDB = 180 ° - 90°

∠ CDB = 90°)

(3) AD = DB (as shown in the diagram)

Δ ADC ≅ ΔBDC

by using the SAS congurence property .

AC = BC

(Corresponding sides of the congurent triangle)

As given

the length of AC is 2x and the length of BC is 3x - 5 .

2x = 3x - 5

3x -2x =5

x = 5

The value of x is 5 .

Hence proved


7 0
3 years ago
Read 2 more answers
Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function t
Licemer1 [7]
I use a bit of a different looking formula.

A(t)=P(1+r/n)^nt

P=amount of money. (500)
r= rate (in decimal. 4%=0.04)
n=number of times per year (1 in this problem)
t=amount of time. (5 years)

Plugged in it looks like this:

A(t)=500 (1+ 0.04/1)^1x5

Then I put it into my calculator like this:

0.04/1+ 0.04

Then add one to the above answer:

0.04+1=1.04

Then raise the above answer to the 1x5:

1.04^5=1.2166......

Then multiply the above answer by 500:

1.2166.... x 500=608.3264512

She has $608 after 5 years.

Hope this helps, let me know if you have any questions.
5 0
3 years ago
A meteorologist forecasted that Monday's hight temperature would be 76F. On Monday, the temperature reached 80F. What is the per
mihalych1998 [28]

Answer: 5%

Step-by-step explanation:

A meteorologist predicted that Monday's hight temperature would be 76F and on Monday, the temperature reached 80F.

The percentage error will be

Percentage error=

(Exact value-Forecasted value)/exact value x 100

= 76-80/80 × 100

= -4/80 × 100

=4/80 × 100

= 400/80

= 5%

The percentage error is 5%.

6 0
3 years ago
A car traveled 385 miles in 7 hours.It traveled the same number of miles each hour.If the car continues at the same number of mi
Crazy boy [7]

Answer:

880

Step-by-step explanation:

385/7=55x16=880

3 0
3 years ago
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Can someone please help me with this page
Oduvanchick [21]
Can you possibly take a clearer picture? Maybe I can help you with that.
7 0
3 years ago
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