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tatiyna
3 years ago
8

In the diagram shown, angles 1, 2, and 3 are congruent. The measure of / is 4° greater than the measure of /. The sum of the mea

sures of the 4 angles is 116°. What is the combined measure of angles 1 and 4?
Mathematics
1 answer:
zysi [14]3 years ago
5 0
<1 and < 2, and < 3 are congruent...they are equal

< 4 = < 1 + 4

x is gonna represent ur angles
x + x + x + x + 4 = 116
4x + 4 = 116
4x = 116 - 4
4x = 112
x = 112/4
x = 28

x + 4 = 28 + 4 = 32

so < 1 is 28 and < 4 is 32....combined = (32 + 28) = 60 <==
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Tim drew a triangle with one angle of measure 40 degrees and the other 70 degrees. Which triangle did Tim draw?
d1i1m1o1n [39]

Answer:

Isocoles (I can't spell)

Step-by-step explanation:

180-70=110. 110-40=70.

Two angles are 70

3 0
2 years ago
the mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.5 %. assume
zhuklara [117]
Given:
Population proportion, \mu _{p} = 57% = 0.57
Population standard deviation, σ  = 3.5% = 0.035
Sample size, n = 40
Confidence level = 95%

The standard error is
SE_{p} =  \sqrt{ \frac{p(1-p)}{n} } = \sqrt{ \frac{0.57*0.43}{40} } =0.0783

The confidence interval is 
\hat{p} \pm z^{*}SE_{p}
where
\hat{p} = sample proportion
z* = 1.96 at the 95% confidence lvvel

The sample proportion lies in the interval
(0.57-1.96*0.0783, 0.57+1.96*0.0783) = (0.4165, 0.7235)

Answer: Between 0.417 and 72.4), or between (41% and 72%)

8 0
3 years ago
Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

The given polynomial equation is

2 {x}^{3}  +  {x}^{2}  - 8x - 4 = 0

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

2 {x}^{2}  + 5x + 2

This means the polynomial equation becomes:

(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

(x - 2)(2 x(x+ 2) +1(x +  2) )= 0

Collect common factors again:

(x - 2)((x+ 2)(2x +  1) = 0

The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
3 years ago
(14v^7x^2-3v^7x^5)divided by (-2v^4x^3)
Dmitrij [34]

.1 Simplify: 5n(2n3+n2+8)+n(4-n).

Solution:

5n(2n3+n2+8)+n(4-n).

= 5n × 2n3 + 5n × n2 + 5n × 8 + n × 4 - n × n.

= 10n4 + 5n3 + 40n + 4n – n2.

= 10n4 + 5n3 + 44n – n2.

= 10n4 + 5n3 – n2 + 44n.

Answer: 10n4 + 5n3 – n2 + 44n

5 0
3 years ago
Write an algebraic expression that models the situation.
ivanzaharov [21]

Answer: x= 182 - 12x

Step-by-step explanation:

7 0
2 years ago
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