All categories

3 years ago

What are the lengths of SV and QT? no links.

Mathematics

2 answers:

4vir4ik [10]3 years ago

5 0

Answer:

TR = 12

=> 3x + 2 =17

=> x = 5

We have QT = QV (because QTV is an isosceles triangle)

=> QT = 4x+1=4x5+1=21 units

We have TS = SV (because TSV is an isosceles triangle)

=>SV = 9x-4= 9x5-4=41 units

maxonik [38]3 years ago

4 0

ok so we see that TR is 17 units, so RV is the same amount

3x+2 so 3x=15 so divide both sides by 3 we get x=5

now we know x=5 4x+1=21 and 9x-4=41

*drops microphone*

You might be interested in

Find the sum of the first five terms using the geometric series formula for the sequence left curly bracket 1 half comma space m

MatroZZZ [7]

Answer:

$\bold{\dfrac{11}{2 }}$

Step-by-step explanation:

Given the geometric series:

$\{\dfrac{1}2, -1, 2, -4, ..... \}$

To find:

Sum of series upto 5 terms using the geometric series formula = ?

Solution:

Formula for sum of a n terms of a geometric series is given as:

$S_n=\dfrac{a(1-r^n)}{1-r} \ \{r$

$a$ is the first term of the geometric series

$r$ is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).

Here:

$a = \dfrac{1}{2}$

$r = \dfrac{-1}{\dfrac{1}{2}} = -2$

$n=5$

So, applying the formula for given values:

$S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}$

So, the answer is

$\bold{\dfrac{11}{2 }}$

3 0

4 years ago

If four pounds of a certain candy cost $10 how manu pounds of that candy can be purchased for $12

dangina [55]

4.8 pounds, set it up as 4 over ten times x over 12, 4 times 12 divided by ten equals 4.8

8 0

3 years ago

On Monday, it took Gunther 12 minutes to bike 2 miles to his school. On Tuesday, Gunther wants to bike to the park 5 miles away.

Anastasy [175]

Answer:

60 minutes

Step-by-step explanation:

12 minutes * 5 miles= 60 minutes

8 0

3 years ago

52.Consider the functionsf(x) = 2* x+6 and g(x) = 5*2x.

likoan [24]

Answer:

$x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\\x \approx 1.65$

Step-by-step explanation:

Given

$f(x) = 2^{\left(x+6\right)}$

$g(x) = 5^{2x}$

We want to find $f(x) = g(x)$

For this you need to:

if $f(x) = g(x)$ , then $\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)$

$\ln \left(2^{x+6}\right)=\ln \left(5^{2x}\right)$

Apply log rule: $\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\left(x+6\right)\ln \left(2\right)=2x\ln \left(5\right)$

Solve for x

Expand $\left(x+6\right)\ln \left(2\right) = \ln \left(2\right)x+6\ln \left(2\right)$

$\ln \left(2\right)x+6\ln \left(2\right)=2x\ln \left(5\right)$

$\ln \left(2\right)x=2x\ln \left(5\right)-6\ln \left(2\right)\\\ln \left(2\right)x-2x\ln \left(5\right)=-6\ln \left(2\right)\\\left(\ln \left(2\right)-2\ln \left(5\right)\right)x=-6\ln \left(2\right)\\\\x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\approx 1.65$

8 0

3 years ago

The population of a certain city is decreased by 5332 in 20 years express the change in population per year as a unit rate

3241004551 [841]

Answer:

266.6 per year

Step-by-step explanation:

53392 / 20 = 266.6

= 266.6 per year

5 0

3 years ago